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  <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedPeriodStartLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedPeriodStartLabel"/>
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  <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedNetLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedNetLabel"/>
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  <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedLabel"/>
  <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedTotalLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedTotalLabel"/>
  <link:labelLink xlink:role="http://www.xbrl.org/2003/role/link" xlink:type="extended">
    <link:label id="lab_obdc_TwoThousandTwentyFiveNotesMember_019cafa6-12dd-79c7-bcbc-b8fe748f2f59_terseLabel_en-US" xlink:label="lab_obdc_TwoThousandTwentyFiveNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO XIV</link:label>
    <link:label id="lab_obdc_TwoThousandTwentyFiveNotesMember_label_en-US" xlink:label="lab_obdc_TwoThousandTwentyFiveNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Two Thousand Twenty-Five Notes [Member]</link:label>
    <link:label id="lab_obdc_TwoThousandTwentyFiveNotesMember_documentation_en-US" xlink:label="lab_obdc_TwoThousandTwentyFiveNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Two Thousand Twenty-Five Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_TwoThousandTwentyFiveNotesMember" xlink:href="obdc-20260331.xsd#obdc_TwoThousandTwentyFiveNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_TwoThousandTwentyFiveNotesMember" xlink:to="lab_obdc_TwoThousandTwentyFiveNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InterestRateSwap2027NotesMember_019cafa6-12dd-7ac4-ae7e-3327bcc13784_terseLabel_en-US" xlink:label="lab_obdc_InterestRateSwap2027NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest Rate Swap 2027 Notes</link:label>
    <link:label id="lab_obdc_InterestRateSwap2027NotesMember_label_en-US" xlink:label="lab_obdc_InterestRateSwap2027NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Rate Swap, 2027 Notes [Member]</link:label>
    <link:label id="lab_obdc_InterestRateSwap2027NotesMember_documentation_en-US" xlink:label="lab_obdc_InterestRateSwap2027NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest Rate Swap, 2027 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InterestRateSwap2027NotesMember" xlink:href="obdc-20260331.xsd#obdc_InterestRateSwap2027NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InterestRateSwap2027NotesMember" xlink:to="lab_obdc_InterestRateSwap2027NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentUnaffiliatedIssuerMember_019cafa6-12dd-7856-8727-06c7c79342a4_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentUnaffiliatedIssuerMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-controlled, non-affiliated investments</link:label>
    <link:label id="lab_us-gaap_InvestmentUnaffiliatedIssuerMember_label_en-US" xlink:label="lab_us-gaap_InvestmentUnaffiliatedIssuerMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Unaffiliated Issuer [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentUnaffiliatedIssuerMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentUnaffiliatedIssuerMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentUnaffiliatedIssuerMember" xlink:to="lab_us-gaap_InvestmentUnaffiliatedIssuerMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_RelatedPartyTransactionNumberOfComponents_019cafa6-13e2-7f84-b9f5-3e6a26613731_terseLabel_en-US" xlink:label="lab_obdc_RelatedPartyTransactionNumberOfComponents" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Incentive fee components</link:label>
    <link:label id="lab_obdc_RelatedPartyTransactionNumberOfComponents_label_en-US" xlink:label="lab_obdc_RelatedPartyTransactionNumberOfComponents" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction, Number Of Components</link:label>
    <link:label id="lab_obdc_RelatedPartyTransactionNumberOfComponents_documentation_en-US" xlink:label="lab_obdc_RelatedPartyTransactionNumberOfComponents" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Related Party Transaction, Number Of Components</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_RelatedPartyTransactionNumberOfComponents" xlink:href="obdc-20260331.xsd#obdc_RelatedPartyTransactionNumberOfComponents"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_RelatedPartyTransactionNumberOfComponents" xlink:to="lab_obdc_RelatedPartyTransactionNumberOfComponents" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RealizedInvestmentGainsLosses_019cafa6-136c-7a59-b104-10507cfa96ef_totalLabel_en-US" xlink:label="lab_us-gaap_RealizedInvestmentGainsLosses" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Net Realized Gain (Loss)</link:label>
    <link:label id="lab_us-gaap_RealizedInvestmentGainsLosses_label_en-US" xlink:label="lab_us-gaap_RealizedInvestmentGainsLosses" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Realized Investment Gains (Losses)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RealizedInvestmentGainsLosses" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RealizedInvestmentGainsLosses"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RealizedInvestmentGainsLosses" xlink:to="lab_us-gaap_RealizedInvestmentGainsLosses" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_AtTheMarketOfferingsMember_019cafa6-136c-7302-916e-53ff0828b4f2_terseLabel_en-US" xlink:label="lab_obdc_AtTheMarketOfferingsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">At The Market Offerings</link:label>
    <link:label id="lab_obdc_AtTheMarketOfferingsMember_label_en-US" xlink:label="lab_obdc_AtTheMarketOfferingsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">At The Market Offerings [Member]</link:label>
    <link:label id="lab_obdc_AtTheMarketOfferingsMember_documentation_en-US" xlink:label="lab_obdc_AtTheMarketOfferingsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">At The Market Offerings</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_AtTheMarketOfferingsMember" xlink:href="obdc-20260331.xsd#obdc_AtTheMarketOfferingsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_AtTheMarketOfferingsMember" xlink:to="lab_obdc_AtTheMarketOfferingsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AwardTmgPredtrmndFlag_terseLabel_en-US" xlink:label="lab_ecd_AwardTmgPredtrmndFlag" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Award Timing Predetermined</link:label>
    <link:label id="lab_ecd_AwardTmgPredtrmndFlag_label_en-US" xlink:label="lab_ecd_AwardTmgPredtrmndFlag" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Timing Predetermined [Flag]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardTmgPredtrmndFlag" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AwardTmgPredtrmndFlag"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardTmgPredtrmndFlag" xlink:to="lab_ecd_AwardTmgPredtrmndFlag" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityFileNumber_019cafa6-13e3-7616-bec1-b1e3a3a6eebd_terseLabel_en-US" xlink:label="lab_dei_EntityFileNumber" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity File Number</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityFileNumber"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityFileNumber" xlink:to="lab_dei_EntityFileNumber" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_MeasurementInputAUMMultipleMember_019cafa6-12dd-7ecf-a1f3-4e0cd00847b6_terseLabel_en-US" xlink:label="lab_obdc_MeasurementInputAUMMultipleMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">AUM Multiple</link:label>
    <link:label id="lab_obdc_MeasurementInputAUMMultipleMember_label_en-US" xlink:label="lab_obdc_MeasurementInputAUMMultipleMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, AUM Multiple [Member]</link:label>
    <link:label id="lab_obdc_MeasurementInputAUMMultipleMember_documentation_en-US" xlink:label="lab_obdc_MeasurementInputAUMMultipleMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement Input, AUM Multiple</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_MeasurementInputAUMMultipleMember" xlink:href="obdc-20260331.xsd#obdc_MeasurementInputAUMMultipleMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_MeasurementInputAUMMultipleMember" xlink:to="lab_obdc_MeasurementInputAUMMultipleMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InitialFourthThresholdPercentageMember_019cafa6-136c-74aa-9b87-94d961b2658a_terseLabel_en-US" xlink:label="lab_obdc_InitialFourthThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Initial Fourth Threshold Percentage</link:label>
    <link:label id="lab_obdc_InitialFourthThresholdPercentageMember_label_en-US" xlink:label="lab_obdc_InitialFourthThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Initial Fourth Threshold Percentage [Member]</link:label>
    <link:label id="lab_obdc_InitialFourthThresholdPercentageMember_documentation_en-US" xlink:label="lab_obdc_InitialFourthThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Initial Fourth Threshold Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InitialFourthThresholdPercentageMember" xlink:href="obdc-20260331.xsd#obdc_InitialFourthThresholdPercentageMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InitialFourthThresholdPercentageMember" xlink:to="lab_obdc_InitialFourthThresholdPercentageMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_TabularListTableTextBlock_terseLabel_en-US" xlink:label="lab_ecd_TabularListTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Tabular List, Table</link:label>
    <link:label id="lab_ecd_TabularListTableTextBlock_label_en-US" xlink:label="lab_ecd_TabularListTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Tabular List [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TabularListTableTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_TabularListTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TabularListTableTextBlock" xlink:to="lab_ecd_TabularListTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare_019cafa6-136c-7645-918b-976e257a6f6e_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net realized and unrealized gain (loss) (in usd per share)</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Gain (Loss) on Investment, Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare" xlink:to="lab_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTextBlock_019cafa6-136c-7f4f-88ce-4d1f514da103_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments</link:label>
    <link:label id="lab_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTextBlock_label_en-US" xlink:label="lab_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Investments [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentHoldingsScheduleOfInvestmentsTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTextBlock" xlink:to="lab_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SaleOfStockMaximumOfferingAmount_019cafa6-12dd-7ac3-9477-97703acc038a_terseLabel_en-US" xlink:label="lab_obdc_SaleOfStockMaximumOfferingAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Maximum offering amount</link:label>
    <link:label id="lab_obdc_SaleOfStockMaximumOfferingAmount_label_en-US" xlink:label="lab_obdc_SaleOfStockMaximumOfferingAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Sale of Stock, Maximum Offering Amount</link:label>
    <link:label id="lab_obdc_SaleOfStockMaximumOfferingAmount_documentation_en-US" xlink:label="lab_obdc_SaleOfStockMaximumOfferingAmount" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Sale of Stock, Maximum Offering Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SaleOfStockMaximumOfferingAmount" xlink:href="obdc-20260331.xsd#obdc_SaleOfStockMaximumOfferingAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SaleOfStockMaximumOfferingAmount" xlink:to="lab_obdc_SaleOfStockMaximumOfferingAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_019cafa6-13e3-7379-82bb-1960203e2138_terseLabel_en-US" xlink:label="lab_us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">New Accounting Pronouncements</link:label>
    <link:label id="lab_us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">New Accounting Pronouncements, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock" xlink:to="lab_us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CommitmentToOwlHPFinanceMember_019dd7e7-e6e7-7450-a8e1-71c953413153_terseLabel_en-US" xlink:label="lab_obdc_CommitmentToOwlHPFinanceMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Commitment To Owl-HP Finance</link:label>
    <link:label id="lab_obdc_CommitmentToOwlHPFinanceMember_label_en-US" xlink:label="lab_obdc_CommitmentToOwlHPFinanceMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Commitment To Owl-HP Finance [Member]</link:label>
    <link:label id="lab_obdc_CommitmentToOwlHPFinanceMember_documentation_en-US" xlink:label="lab_obdc_CommitmentToOwlHPFinanceMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Commitment To Owl-HP Finance</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CommitmentToOwlHPFinanceMember" xlink:href="obdc-20260331.xsd#obdc_CommitmentToOwlHPFinanceMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CommitmentToOwlHPFinanceMember" xlink:to="lab_obdc_CommitmentToOwlHPFinanceMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SecuredOvernightFinancingRateSofrMember_019cafa6-12dd-7dc9-acf6-ade169652267_terseLabel_en-US" xlink:label="lab_us-gaap_SecuredOvernightFinancingRateSofrMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">SOFR</link:label>
    <link:label id="lab_us-gaap_SecuredOvernightFinancingRateSofrMember_label_en-US" xlink:label="lab_us-gaap_SecuredOvernightFinancingRateSofrMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Secured Overnight Financing Rate (SOFR) [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SecuredOvernightFinancingRateSofrMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SecuredOvernightFinancingRateSofrMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SecuredOvernightFinancingRateSofrMember" xlink:to="lab_us-gaap_SecuredOvernightFinancingRateSofrMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_AssetBasedLendingAndFundFinanceMember_019cafa6-12dd-7c27-bc53-41940ffb841e_terseLabel_en-US" xlink:label="lab_obdc_AssetBasedLendingAndFundFinanceMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Asset based lending and fund finance</link:label>
    <link:label id="lab_obdc_AssetBasedLendingAndFundFinanceMember_label_en-US" xlink:label="lab_obdc_AssetBasedLendingAndFundFinanceMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Asset Based Lending And Fund Finance [Member]</link:label>
    <link:label id="lab_obdc_AssetBasedLendingAndFundFinanceMember_documentation_en-US" xlink:label="lab_obdc_AssetBasedLendingAndFundFinanceMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Asset Based Lending And Fund Finance</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_AssetBasedLendingAndFundFinanceMember" xlink:href="obdc-20260331.xsd#obdc_AssetBasedLendingAndFundFinanceMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_AssetBasedLendingAndFundFinanceMember" xlink:to="lab_obdc_AssetBasedLendingAndFundFinanceMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtSecuritiesMember_019cafa6-13e2-7926-be87-1b50e566aba9_terseLabel_en-US" xlink:label="lab_us-gaap_DebtSecuritiesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Securities</link:label>
    <link:label id="lab_us-gaap_DebtSecuritiesMember_label_en-US" xlink:label="lab_us-gaap_DebtSecuritiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Securities [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtSecuritiesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtSecuritiesMember" xlink:to="lab_us-gaap_DebtSecuritiesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyTotalReturnMarketValue_019cafa6-12dd-7b2c-8744-d48b21c02a07_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyTotalReturnMarketValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total return, based on market value</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyTotalReturnMarketValue_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyTotalReturnMarketValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Total Return, Market Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyTotalReturnMarketValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyTotalReturnMarketValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyTotalReturnMarketValue" xlink:to="lab_us-gaap_InvestmentCompanyTotalReturnMarketValue" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueByMeasurementBasisAxis_019cafa6-136c-78de-a8d1-9096b9cef4ef_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueByMeasurementBasisAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Measurement Basis [Axis]</link:label>
    <link:label id="lab_us-gaap_FairValueByMeasurementBasisAxis_label_en-US" xlink:label="lab_us-gaap_FairValueByMeasurementBasisAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Basis [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByMeasurementBasisAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueByMeasurementBasisAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueByMeasurementBasisAxis" xlink:to="lab_us-gaap_FairValueByMeasurementBasisAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AdjToCompAxis_terseLabel_en-US" xlink:label="lab_ecd_AdjToCompAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Adjustment to Compensation:</link:label>
    <link:label id="lab_ecd_AdjToCompAxis_label_en-US" xlink:label="lab_ecd_AdjToCompAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustment to Compensation [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AdjToCompAxis" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AdjToCompAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AdjToCompAxis" xlink:to="lab_ecd_AdjToCompAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyTransactionsDisclosureTextBlock_019cafa6-12dd-7fc4-b9ce-bd838ba528d6_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionsDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Agreements and Related Party Transactions</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionsDisclosureTextBlock_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionsDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transactions Disclosure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionsDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyTransactionsDisclosureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionsDisclosureTextBlock" xlink:to="lab_us-gaap_RelatedPartyTransactionsDisclosureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_NamedExecutiveOfficersFnTextBlock_terseLabel_en-US" xlink:label="lab_ecd_NamedExecutiveOfficersFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Named Executive Officers, Footnote</link:label>
    <link:label id="lab_ecd_NamedExecutiveOfficersFnTextBlock_label_en-US" xlink:label="lab_ecd_NamedExecutiveOfficersFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Named Executive Officers, Footnote [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_NamedExecutiveOfficersFnTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_NamedExecutiveOfficersFnTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_NamedExecutiveOfficersFnTextBlock" xlink:to="lab_ecd_NamedExecutiveOfficersFnTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyNetAssetValuePerSharePeriodIncreaseDecrease_019cafa6-136c-7404-90e1-07fbd5b1bc84_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyNetAssetValuePerSharePeriodIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total increase (decrease) in net assets (in usd per share)</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyNetAssetValuePerSharePeriodIncreaseDecrease_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyNetAssetValuePerSharePeriodIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Net Asset Value, Per Share, Period Increase (Decrease)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyNetAssetValuePerSharePeriodIncreaseDecrease" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyNetAssetValuePerSharePeriodIncreaseDecrease"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyNetAssetValuePerSharePeriodIncreaseDecrease" xlink:to="lab_us-gaap_InvestmentCompanyNetAssetValuePerSharePeriodIncreaseDecrease" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InterestRateSwaps2029Notes2Member_019cafa6-12dd-7527-a911-e9ebd5194384_terseLabel_en-US" xlink:label="lab_obdc_InterestRateSwaps2029Notes2Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest Rate Swap 2029 Notes</link:label>
    <link:label id="lab_obdc_InterestRateSwaps2029Notes2Member_label_en-US" xlink:label="lab_obdc_InterestRateSwaps2029Notes2Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Rate Swaps, 2029 Notes 2 [Member]</link:label>
    <link:label id="lab_obdc_InterestRateSwaps2029Notes2Member_documentation_en-US" xlink:label="lab_obdc_InterestRateSwaps2029Notes2Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest Rate Swaps, 2029 Notes 2</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InterestRateSwaps2029Notes2Member" xlink:href="obdc-20260331.xsd#obdc_InterestRateSwaps2029Notes2Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InterestRateSwaps2029Notes2Member" xlink:to="lab_obdc_InterestRateSwaps2029Notes2Member" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_NonQualifyingAssetsPercentOfNetAssets_019cafa6-136c-7679-a68f-f00c6fcc24de_terseLabel_en-US" xlink:label="lab_obdc_NonQualifyingAssetsPercentOfNetAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-qualifying assets as a percent of total assets</link:label>
    <link:label id="lab_obdc_NonQualifyingAssetsPercentOfNetAssets_label_en-US" xlink:label="lab_obdc_NonQualifyingAssetsPercentOfNetAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-Qualifying Assets, Percent Of Net Assets</link:label>
    <link:label id="lab_obdc_NonQualifyingAssetsPercentOfNetAssets_documentation_en-US" xlink:label="lab_obdc_NonQualifyingAssetsPercentOfNetAssets" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Non-Qualifying Assets, Percent Of Net Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_NonQualifyingAssetsPercentOfNetAssets" xlink:href="obdc-20260331.xsd#obdc_NonQualifyingAssetsPercentOfNetAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_NonQualifyingAssetsPercentOfNetAssets" xlink:to="lab_obdc_NonQualifyingAssetsPercentOfNetAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ManufacturingMember_019cafa6-136c-778e-8ae6-5ef5fb80fa5c_terseLabel_en-US" xlink:label="lab_obdc_ManufacturingMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Manufacturing</link:label>
    <link:label id="lab_obdc_ManufacturingMember_label_en-US" xlink:label="lab_obdc_ManufacturingMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Manufacturing [Member]</link:label>
    <link:label id="lab_obdc_ManufacturingMember_documentation_en-US" xlink:label="lab_obdc_ManufacturingMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Manufacturing</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ManufacturingMember" xlink:href="obdc-20260331.xsd#obdc_ManufacturingMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ManufacturingMember" xlink:to="lab_obdc_ManufacturingMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryAxis_019cafa6-12dd-770e-b3a4-cff28d22ecd2_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Company, Nonconsolidated Subsidiary [Axis]</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryAxis_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Nonconsolidated Subsidiary [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryAxis" xlink:to="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SouthRegionMember_019cafa6-136c-7fb4-94a5-715fc967f8a4_terseLabel_en-US" xlink:label="lab_us-gaap_SouthRegionMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">South</link:label>
    <link:label id="lab_us-gaap_SouthRegionMember_label_en-US" xlink:label="lab_us-gaap_SouthRegionMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">US South Region [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SouthRegionMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SouthRegionMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SouthRegionMember" xlink:to="lab_us-gaap_SouthRegionMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AdjToCompAmt_terseLabel_en-US" xlink:label="lab_ecd_AdjToCompAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Adjustment to Compensation, Amount</link:label>
    <link:label id="lab_ecd_AdjToCompAmt_label_en-US" xlink:label="lab_ecd_AdjToCompAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustment to Compensation Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AdjToCompAmt" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AdjToCompAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AdjToCompAmt" xlink:to="lab_ecd_AdjToCompAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ConcentrationRiskPercentage1_019cafa6-12dd-7706-896b-b9e4d42a989f_terseLabel_en-US" xlink:label="lab_us-gaap_ConcentrationRiskPercentage1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Concentration risk</link:label>
    <link:label id="lab_us-gaap_ConcentrationRiskPercentage1_label_en-US" xlink:label="lab_us-gaap_ConcentrationRiskPercentage1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Concentration Risk, Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConcentrationRiskPercentage1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ConcentrationRiskPercentage1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ConcentrationRiskPercentage1" xlink:to="lab_us-gaap_ConcentrationRiskPercentage1" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ConsolidationPolicyTextBlock_019cafa6-12dd-7fb8-aaa8-11b6a8ce0665_terseLabel_en-US" xlink:label="lab_us-gaap_ConsolidationPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Consolidation</link:label>
    <link:label id="lab_us-gaap_ConsolidationPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_ConsolidationPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Consolidation, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConsolidationPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ConsolidationPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ConsolidationPolicyTextBlock" xlink:to="lab_us-gaap_ConsolidationPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EmployeeStockOptionMember_terseLabel_en-US" xlink:label="lab_us-gaap_EmployeeStockOptionMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Employee Stock Option</link:label>
    <link:label id="lab_us-gaap_EmployeeStockOptionMember_label_en-US" xlink:label="lab_us-gaap_EmployeeStockOptionMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share-Based Payment Arrangement, Option [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EmployeeStockOptionMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EmployeeStockOptionMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EmployeeStockOptionMember" xlink:to="lab_us-gaap_EmployeeStockOptionMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CashAndCashEquivalentsPolicyTextBlock_019cafa6-136c-734a-8f96-7442862a6788_terseLabel_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash and Restricted Cash</link:label>
    <link:label id="lab_us-gaap_CashAndCashEquivalentsPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash and Cash Equivalents, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashAndCashEquivalentsPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashAndCashEquivalentsPolicyTextBlock" xlink:to="lab_us-gaap_CashAndCashEquivalentsPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtAndEquitySecuritiesRealizedGainLoss_019cafa6-12dd-78c8-aeff-ede31211218c_terseLabel_en-US" xlink:label="lab_us-gaap_DebtAndEquitySecuritiesRealizedGainLoss" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-controlled, non-affiliated investments</link:label>
    <link:label id="lab_us-gaap_DebtAndEquitySecuritiesRealizedGainLoss_019cafa6-12dd-72ac-a688-f60685394254_negatedLabel_en-US" xlink:label="lab_us-gaap_DebtAndEquitySecuritiesRealizedGainLoss" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Net realized (gain) loss on investments</link:label>
    <link:label id="lab_us-gaap_DebtAndEquitySecuritiesRealizedGainLoss_019cafa6-12dd-7fe2-9d93-b3a6bdae22ef_verboseLabel_en-US" xlink:label="lab_us-gaap_DebtAndEquitySecuritiesRealizedGainLoss" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Realized Gains (Losses)</link:label>
    <link:label id="lab_us-gaap_DebtAndEquitySecuritiesRealizedGainLoss_label_en-US" xlink:label="lab_us-gaap_DebtAndEquitySecuritiesRealizedGainLoss" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt and Equity Securities, Realized Gain (Loss)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtAndEquitySecuritiesRealizedGainLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtAndEquitySecuritiesRealizedGainLoss"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtAndEquitySecuritiesRealizedGainLoss" xlink:to="lab_us-gaap_DebtAndEquitySecuritiesRealizedGainLoss" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVMember_019cafa6-136c-74c4-937d-882e3eec3935_terseLabel_en-US" xlink:label="lab_obdc_CLOVMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO V</link:label>
    <link:label id="lab_obdc_CLOVMember_label_en-US" xlink:label="lab_obdc_CLOVMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO V [Member]</link:label>
    <link:label id="lab_obdc_CLOVMember_documentation_en-US" xlink:label="lab_obdc_CLOVMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO V</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVMember" xlink:href="obdc-20260331.xsd#obdc_CLOVMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVMember" xlink:to="lab_obdc_CLOVMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SeniorSecuredRevolvingCreditFacilityNonExtendingCommitmentsMember_019cafa6-12dd-773c-9346-ede9109626f3_terseLabel_en-US" xlink:label="lab_obdc_SeniorSecuredRevolvingCreditFacilityNonExtendingCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-Extending Commitments</link:label>
    <link:label id="lab_obdc_SeniorSecuredRevolvingCreditFacilityNonExtendingCommitmentsMember_label_en-US" xlink:label="lab_obdc_SeniorSecuredRevolvingCreditFacilityNonExtendingCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Senior Secured Revolving Credit Facility, Non-Extending Commitments [Member]</link:label>
    <link:label id="lab_obdc_SeniorSecuredRevolvingCreditFacilityNonExtendingCommitmentsMember_documentation_en-US" xlink:label="lab_obdc_SeniorSecuredRevolvingCreditFacilityNonExtendingCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Senior Secured Revolving Credit Facility, Non-Extending Commitments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SeniorSecuredRevolvingCreditFacilityNonExtendingCommitmentsMember" xlink:href="obdc-20260331.xsd#obdc_SeniorSecuredRevolvingCreditFacilityNonExtendingCommitmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SeniorSecuredRevolvingCreditFacilityNonExtendingCommitmentsMember" xlink:to="lab_obdc_SeniorSecuredRevolvingCreditFacilityNonExtendingCommitmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockholdersEquity_019cafa6-12dd-78da-b958-a04c43353e70_totalLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquity" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Net Assets</link:label>
    <link:label id="lab_us-gaap_StockholdersEquity_019cafa6-12dd-794c-a5ad-508a827c2709_periodStartLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquity" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Net Assets, at beginning of period</link:label>
    <link:label id="lab_us-gaap_StockholdersEquity_019cafa6-12dd-73cb-b513-dcddd1fe7232_periodEndLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquity" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Net Assets, at End of Period</link:label>
    <link:label id="lab_us-gaap_StockholdersEquity_019cafa6-12dd-7aa0-94c7-e9b427089eed_netLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquity" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:type="resource" xml:lang="en-US">Total Credit SLF Members&#8217; Equity</link:label>
    <link:label id="lab_us-gaap_StockholdersEquity_019cafa6-12dd-7d6a-a63d-9bdb99870c7a_verboseLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquity" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Net assets, end of period</link:label>
    <link:label id="lab_us-gaap_StockholdersEquity_label_en-US" xlink:label="lab_us-gaap_StockholdersEquity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity, Attributable to Parent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockholdersEquity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockholdersEquity" xlink:to="lab_us-gaap_StockholdersEquity" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_InsiderTradingPoliciesProcLineItems_label_en-US" xlink:label="lab_ecd_InsiderTradingPoliciesProcLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Insider Trading Policies and Procedures [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_InsiderTradingPoliciesProcLineItems" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_InsiderTradingPoliciesProcLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_InsiderTradingPoliciesProcLineItems" xlink:to="lab_ecd_InsiderTradingPoliciesProcLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommonStockSharesAuthorized_019cafa6-12dd-70d8-a242-29373d43198f_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockSharesAuthorized" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Common stock, shares authorized (in shares)</link:label>
    <link:label id="lab_us-gaap_CommonStockSharesAuthorized_label_en-US" xlink:label="lab_us-gaap_CommonStockSharesAuthorized" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Common Stock, Shares Authorized</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockSharesAuthorized" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonStockSharesAuthorized"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockSharesAuthorized" xlink:to="lab_us-gaap_CommonStockSharesAuthorized" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues_019cafa6-136c-7238-8e44-6b68d812fb09_terseLabel_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Shares issued (in shares)</link:label>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues_label_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Issued During Period, Shares, New Issues</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockIssuedDuringPeriodSharesNewIssues" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockIssuedDuringPeriodSharesNewIssues"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockIssuedDuringPeriodSharesNewIssues" xlink:to="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CashAndCashEquivalentsFairValueDisclosure_019cafa6-136c-7e1f-bd01-82096537c631_terseLabel_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsFairValueDisclosure" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash (including restricted and foreign cash)</link:label>
    <link:label id="lab_us-gaap_CashAndCashEquivalentsFairValueDisclosure_label_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsFairValueDisclosure" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash and Cash Equivalents, Fair Value Disclosure</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsFairValueDisclosure" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashAndCashEquivalentsFairValueDisclosure"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashAndCashEquivalentsFairValueDisclosure" xlink:to="lab_us-gaap_CashAndCashEquivalentsFairValueDisclosure" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtVariableRateComponentTwoGreaterThanEqualProductMember_019cafa6-13e3-71c0-8058-b13438dd86f1_terseLabel_en-US" xlink:label="lab_obdc_DebtVariableRateComponentTwoGreaterThanEqualProductMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Two, Greater Than Equal Product</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentTwoGreaterThanEqualProductMember_label_en-US" xlink:label="lab_obdc_DebtVariableRateComponentTwoGreaterThanEqualProductMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Two, Greater Than Equal Product [Member]</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentTwoGreaterThanEqualProductMember_documentation_en-US" xlink:label="lab_obdc_DebtVariableRateComponentTwoGreaterThanEqualProductMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Two, Greater Than Equal Product</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtVariableRateComponentTwoGreaterThanEqualProductMember" xlink:href="obdc-20260331.xsd#obdc_DebtVariableRateComponentTwoGreaterThanEqualProductMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtVariableRateComponentTwoGreaterThanEqualProductMember" xlink:to="lab_obdc_DebtVariableRateComponentTwoGreaterThanEqualProductMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PortionAtFairValueFairValueDisclosureMember_019cafa6-136c-7755-b3c5-313d46bac4df_terseLabel_en-US" xlink:label="lab_us-gaap_PortionAtFairValueFairValueDisclosureMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Portion at Fair Value Measurement</link:label>
    <link:label id="lab_us-gaap_PortionAtFairValueFairValueDisclosureMember_label_en-US" xlink:label="lab_us-gaap_PortionAtFairValueFairValueDisclosureMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Portion at Fair Value Measurement [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PortionAtFairValueFairValueDisclosureMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PortionAtFairValueFairValueDisclosureMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PortionAtFairValueFairValueDisclosureMember" xlink:to="lab_us-gaap_PortionAtFairValueFairValueDisclosureMember" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_MaximumMember_019cafa6-12dd-7976-95ed-490bfb2b27dd_terseLabel_en-US" xlink:label="lab_srt_MaximumMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Maximum</link:label>
    <link:label id="lab_srt_MaximumMember_label_en-US" xlink:label="lab_srt_MaximumMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Maximum [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MaximumMember" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_MaximumMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_MaximumMember" xlink:to="lab_srt_MaximumMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BridgeLoanMember_019cafa6-136c-7c68-a7af-b8d672c91a8f_terseLabel_en-US" xlink:label="lab_us-gaap_BridgeLoanMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Bridge Loan</link:label>
    <link:label id="lab_us-gaap_BridgeLoanMember_label_en-US" xlink:label="lab_us-gaap_BridgeLoanMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Bridge Loan [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BridgeLoanMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BridgeLoanMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BridgeLoanMember" xlink:to="lab_us-gaap_BridgeLoanMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_Series2023ANotesDueOnJune292028Member_019cafa6-136c-75c8-96f3-7d8bcf37e959_terseLabel_en-US" xlink:label="lab_obdc_Series2023ANotesDueOnJune292028Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Series 2023A Notes Due On June 29, 2028</link:label>
    <link:label id="lab_obdc_Series2023ANotesDueOnJune292028Member_label_en-US" xlink:label="lab_obdc_Series2023ANotesDueOnJune292028Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Series 2023A Notes Due On June 29, 2028 [Member]</link:label>
    <link:label id="lab_obdc_Series2023ANotesDueOnJune292028Member_documentation_en-US" xlink:label="lab_obdc_Series2023ANotesDueOnJune292028Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Series 2023A Notes Due On June 29, 2028</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_Series2023ANotesDueOnJune292028Member" xlink:href="obdc-20260331.xsd#obdc_Series2023ANotesDueOnJune292028Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_Series2023ANotesDueOnJune292028Member" xlink:to="lab_obdc_Series2023ANotesDueOnJune292028Member" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_NonPeoNeoAvgTotalCompAmt_terseLabel_en-US" xlink:label="lab_ecd_NonPeoNeoAvgTotalCompAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-PEO NEO Average Total Compensation Amount</link:label>
    <link:label id="lab_ecd_NonPeoNeoAvgTotalCompAmt_label_en-US" xlink:label="lab_ecd_NonPeoNeoAvgTotalCompAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-PEO NEO Average Total Compensation Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_NonPeoNeoAvgTotalCompAmt" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_NonPeoNeoAvgTotalCompAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_NonPeoNeoAvgTotalCompAmt" xlink:to="lab_ecd_NonPeoNeoAvgTotalCompAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareLineItems_019cafa6-136c-77d0-9087-9dd05167986f_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value, Investments, Entities that Calculate Net Asset Value Per Share [Line Items]</link:label>
    <link:label id="lab_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareLineItems_label_en-US" xlink:label="lab_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Investments, Entities that Calculate Net Asset Value Per Share [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareLineItems" xlink:to="lab_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentLineItems_019cafa6-13e3-7d84-8ea6-9c15fcbeb7b0_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Instrument [Line Items]</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentLineItems_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentLineItems" xlink:to="lab_us-gaap_DebtInstrumentLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncentiveFeePayable_019cafa6-136c-72cc-b0f2-00cb57446fe9_terseLabel_en-US" xlink:label="lab_us-gaap_IncentiveFeePayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Incentive fee payable</link:label>
    <link:label id="lab_us-gaap_IncentiveFeePayable_label_en-US" xlink:label="lab_us-gaap_IncentiveFeePayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Incentive Fee Payable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncentiveFeePayable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncentiveFeePayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncentiveFeePayable" xlink:to="lab_us-gaap_IncentiveFeePayable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentIdentifierAxis_019cafa6-12dd-725b-9463-8e6086a32a8e_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentIdentifierAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment, Identifier [Axis]</link:label>
    <link:label id="lab_us-gaap_InvestmentIdentifierAxis_label_en-US" xlink:label="lab_us-gaap_InvestmentIdentifierAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Identifier [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIdentifierAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIdentifierAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIdentifierAxis" xlink:to="lab_us-gaap_InvestmentIdentifierAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AdjToNonPeoNeoCompFnTextBlock_terseLabel_en-US" xlink:label="lab_ecd_AdjToNonPeoNeoCompFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Adjustment to Non-PEO NEO Compensation Footnote</link:label>
    <link:label id="lab_ecd_AdjToNonPeoNeoCompFnTextBlock_label_en-US" xlink:label="lab_ecd_AdjToNonPeoNeoCompFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustment to Non-PEO NEO Compensation Footnote [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AdjToNonPeoNeoCompFnTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AdjToNonPeoNeoCompFnTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AdjToNonPeoNeoCompFnTextBlock" xlink:to="lab_ecd_AdjToNonPeoNeoCompFnTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentOwnedAtFairValue_019cafa6-136c-7f77-9c70-1bdb0b48b85b_verboseLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedAtFairValue" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Fair Value</link:label>
    <link:label id="lab_us-gaap_InvestmentOwnedAtFairValue_019cafa6-136c-7363-bbc7-ec17df3ace32_periodStartLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedAtFairValue" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Beginning balance</link:label>
    <link:label id="lab_us-gaap_InvestmentOwnedAtFairValue_019cafa6-136c-7067-aa51-3f04866db7d1_periodEndLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedAtFairValue" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Ending balance</link:label>
    <link:label id="lab_us-gaap_InvestmentOwnedAtFairValue_019cafa6-136c-7e2a-b1a0-a6dc1101e5ae_netLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedAtFairValue" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:type="resource" xml:lang="en-US">Total Investments at Fair Value</link:label>
    <link:label id="lab_us-gaap_InvestmentOwnedAtFairValue_label_en-US" xlink:label="lab_us-gaap_InvestmentOwnedAtFairValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Owned, Fair Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentOwnedAtFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentOwnedAtFairValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentOwnedAtFairValue" xlink:to="lab_us-gaap_InvestmentOwnedAtFairValue" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_TwoThousandTwentyFourNotesMember_019cafa6-13e3-7758-9fb2-f4f92e9d5d8b_terseLabel_en-US" xlink:label="lab_obdc_TwoThousandTwentyFourNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2024 Notes</link:label>
    <link:label id="lab_obdc_TwoThousandTwentyFourNotesMember_label_en-US" xlink:label="lab_obdc_TwoThousandTwentyFourNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Two Thousand Twenty-Four Notes [Member]</link:label>
    <link:label id="lab_obdc_TwoThousandTwentyFourNotesMember_documentation_en-US" xlink:label="lab_obdc_TwoThousandTwentyFourNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Two Thousand Twenty-Four Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_TwoThousandTwentyFourNotesMember" xlink:href="obdc-20260331.xsd#obdc_TwoThousandTwentyFourNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_TwoThousandTwentyFourNotesMember" xlink:to="lab_obdc_TwoThousandTwentyFourNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_ForgoneRecoveryDueToDisqualificationOfTaxBenefitsAmt_terseLabel_en-US" xlink:label="lab_ecd_ForgoneRecoveryDueToDisqualificationOfTaxBenefitsAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Forgone Recovery due to Disqualification of Tax Benefits, Amount</link:label>
    <link:label id="lab_ecd_ForgoneRecoveryDueToDisqualificationOfTaxBenefitsAmt_label_en-US" xlink:label="lab_ecd_ForgoneRecoveryDueToDisqualificationOfTaxBenefitsAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Forgone Recovery due to Disqualification of Tax Benefits, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_ForgoneRecoveryDueToDisqualificationOfTaxBenefitsAmt" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_ForgoneRecoveryDueToDisqualificationOfTaxBenefitsAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_ForgoneRecoveryDueToDisqualificationOfTaxBenefitsAmt" xlink:to="lab_ecd_ForgoneRecoveryDueToDisqualificationOfTaxBenefitsAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentAffiliatedIssuerControlledMember_019cafa6-12dd-777e-a154-5b0cb28ed349_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentAffiliatedIssuerControlledMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Controlled, affiliated investments</link:label>
    <link:label id="lab_us-gaap_InvestmentAffiliatedIssuerControlledMember_label_en-US" xlink:label="lab_us-gaap_InvestmentAffiliatedIssuerControlledMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Affiliated Issuer, Controlled [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentAffiliatedIssuerControlledMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentAffiliatedIssuerControlledMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentAffiliatedIssuerControlledMember" xlink:to="lab_us-gaap_InvestmentAffiliatedIssuerControlledMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_NonRule10b51ArrTrmntdFlag_terseLabel_en-US" xlink:label="lab_ecd_NonRule10b51ArrTrmntdFlag" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-Rule 10b5-1 Arrangement Terminated</link:label>
    <link:label id="lab_ecd_NonRule10b51ArrTrmntdFlag_label_en-US" xlink:label="lab_ecd_NonRule10b51ArrTrmntdFlag" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-Rule 10b5-1 Arrangement Terminated [Flag]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_NonRule10b51ArrTrmntdFlag" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_NonRule10b51ArrTrmntdFlag"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_NonRule10b51ArrTrmntdFlag" xlink:to="lab_ecd_NonRule10b51ArrTrmntdFlag" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ForeignCurrencyTransactionGainLossRealizedNoncash_019cafa6-136c-728b-b87d-346fbd381a75_negatedLabel_en-US" xlink:label="lab_obdc_ForeignCurrencyTransactionGainLossRealizedNoncash" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Net realized (gain) loss on foreign currency transactions relating to investments</link:label>
    <link:label id="lab_obdc_ForeignCurrencyTransactionGainLossRealizedNoncash_label_en-US" xlink:label="lab_obdc_ForeignCurrencyTransactionGainLossRealizedNoncash" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Currency Transaction Gain (Loss), Realized, Noncash</link:label>
    <link:label id="lab_obdc_ForeignCurrencyTransactionGainLossRealizedNoncash_documentation_en-US" xlink:label="lab_obdc_ForeignCurrencyTransactionGainLossRealizedNoncash" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Foreign Currency Transaction Gain (Loss), Realized, Noncash</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ForeignCurrencyTransactionGainLossRealizedNoncash" xlink:href="obdc-20260331.xsd#obdc_ForeignCurrencyTransactionGainLossRealizedNoncash"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ForeignCurrencyTransactionGainLossRealizedNoncash" xlink:to="lab_obdc_ForeignCurrencyTransactionGainLossRealizedNoncash" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfNoEventOfDefault_019cafa6-136c-7023-8f9a-0eeaaab8713b_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfNoEventOfDefault" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Basis spread on variable rate, increase per annum</link:label>
    <link:label id="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfNoEventOfDefault_label_en-US" xlink:label="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfNoEventOfDefault" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Basis Spread on Variable Rate, Increase Per Annum If No Event Of Default</link:label>
    <link:label id="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfNoEventOfDefault_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfNoEventOfDefault" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Basis Spread on Variable Rate, Increase Per Annum If No Event Of Default</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfNoEventOfDefault" xlink:href="obdc-20260331.xsd#obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfNoEventOfDefault"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfNoEventOfDefault" xlink:to="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfNoEventOfDefault" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityShellCompany_019cafa6-136c-7383-9c3c-5fba2da7b0d8_terseLabel_en-US" xlink:label="lab_dei_EntityShellCompany" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Shell Company</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityShellCompany" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityShellCompany"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityShellCompany" xlink:to="lab_dei_EntityShellCompany" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_AssetBasedLendingAndFinanceMember_019cafa6-136c-771d-a029-342d6b162c0d_terseLabel_en-US" xlink:label="lab_obdc_AssetBasedLendingAndFinanceMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Asset based lending and fund finance</link:label>
    <link:label id="lab_obdc_AssetBasedLendingAndFinanceMember_label_en-US" xlink:label="lab_obdc_AssetBasedLendingAndFinanceMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Asset Based Lending And Finance [Member]</link:label>
    <link:label id="lab_obdc_AssetBasedLendingAndFinanceMember_documentation_en-US" xlink:label="lab_obdc_AssetBasedLendingAndFinanceMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Asset Based Lending And Finance</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_AssetBasedLendingAndFinanceMember" xlink:href="obdc-20260331.xsd#obdc_AssetBasedLendingAndFinanceMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_AssetBasedLendingAndFinanceMember" xlink:to="lab_obdc_AssetBasedLendingAndFinanceMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_EquityCommitmentToAmerginAssetCoMember_019cafa6-136c-777c-be84-b3655265cdb0_terseLabel_en-US" xlink:label="lab_obdc_EquityCommitmentToAmerginAssetCoMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Commitment To Amergin AssetCo</link:label>
    <link:label id="lab_obdc_EquityCommitmentToAmerginAssetCoMember_label_en-US" xlink:label="lab_obdc_EquityCommitmentToAmerginAssetCoMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Commitment To Amergin AssetCo [Member]</link:label>
    <link:label id="lab_obdc_EquityCommitmentToAmerginAssetCoMember_documentation_en-US" xlink:label="lab_obdc_EquityCommitmentToAmerginAssetCoMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Equity Commitment To Amergin AssetCo</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_EquityCommitmentToAmerginAssetCoMember" xlink:href="obdc-20260331.xsd#obdc_EquityCommitmentToAmerginAssetCoMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_EquityCommitmentToAmerginAssetCoMember" xlink:to="lab_obdc_EquityCommitmentToAmerginAssetCoMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongTermDebtAverageAmountOutstanding_019cafa6-13e2-7f8f-a05f-c03fa9bdb760_terseLabel_en-US" xlink:label="lab_us-gaap_LongTermDebtAverageAmountOutstanding" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Average daily borrowings</link:label>
    <link:label id="lab_us-gaap_LongTermDebtAverageAmountOutstanding_label_en-US" xlink:label="lab_us-gaap_LongTermDebtAverageAmountOutstanding" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Long-Term Debt, Average Amount Outstanding</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtAverageAmountOutstanding" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LongTermDebtAverageAmountOutstanding"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongTermDebtAverageAmountOutstanding" xlink:to="lab_us-gaap_LongTermDebtAverageAmountOutstanding" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfCarryingValuesAndEstimatedFairValuesOfDebtInstrumentsTableTextBlock_019cafa6-136c-7f89-aae5-49822d897627_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfCarryingValuesAndEstimatedFairValuesOfDebtInstrumentsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Carrying Values and Fair Values of the Company&#8217;s Debt Obligations</link:label>
    <link:label id="lab_us-gaap_ScheduleOfCarryingValuesAndEstimatedFairValuesOfDebtInstrumentsTableTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfCarryingValuesAndEstimatedFairValuesOfDebtInstrumentsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Carrying Values and Estimated Fair Values of Debt Instruments [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfCarryingValuesAndEstimatedFairValuesOfDebtInstrumentsTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfCarryingValuesAndEstimatedFairValuesOfDebtInstrumentsTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfCarryingValuesAndEstimatedFairValuesOfDebtInstrumentsTableTextBlock" xlink:to="lab_us-gaap_ScheduleOfCarryingValuesAndEstimatedFairValuesOfDebtInstrumentsTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentTable_019cafa6-12dd-7870-b026-397980fd555d_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Long-Term Debt Instruments [Table]</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentTable_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Long-Term Debt Instruments [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentTable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentTable" xlink:to="lab_us-gaap_DebtInstrumentTable" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InternetSoftwareAndServicesMember_019cafa6-136c-79e5-80ca-885d87f89e4d_terseLabel_en-US" xlink:label="lab_obdc_InternetSoftwareAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Internet software&#160;and services</link:label>
    <link:label id="lab_obdc_InternetSoftwareAndServicesMember_label_en-US" xlink:label="lab_obdc_InternetSoftwareAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Internet Software&#160;And Services [Member]</link:label>
    <link:label id="lab_obdc_InternetSoftwareAndServicesMember_documentation_en-US" xlink:label="lab_obdc_InternetSoftwareAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Internet Software&#160;And Services</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InternetSoftwareAndServicesMember" xlink:href="obdc-20260331.xsd#obdc_InternetSoftwareAndServicesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InternetSoftwareAndServicesMember" xlink:to="lab_obdc_InternetSoftwareAndServicesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfDebt_019cafa6-13e3-7495-afa3-f12555716963_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfDebt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Borrowings on debt</link:label>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfDebt_label_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfDebt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds from Issuance of Debt</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromIssuanceOfDebt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromIssuanceOfDebt" xlink:to="lab_us-gaap_ProceedsFromIssuanceOfDebt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AutomotiveSectorMember_019cafa6-13e2-76f0-ab7d-e4e23ba3b154_terseLabel_en-US" xlink:label="lab_us-gaap_AutomotiveSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Automotive services</link:label>
    <link:label id="lab_us-gaap_AutomotiveSectorMember_label_en-US" xlink:label="lab_us-gaap_AutomotiveSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Automotive Sector [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AutomotiveSectorMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AutomotiveSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AutomotiveSectorMember" xlink:to="lab_us-gaap_AutomotiveSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AwardTmgMnpiCnsdrdFlag_terseLabel_en-US" xlink:label="lab_ecd_AwardTmgMnpiCnsdrdFlag" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Award Timing MNPI Considered</link:label>
    <link:label id="lab_ecd_AwardTmgMnpiCnsdrdFlag_label_en-US" xlink:label="lab_ecd_AwardTmgMnpiCnsdrdFlag" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Timing MNPI Considered [Flag]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardTmgMnpiCnsdrdFlag" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AwardTmgMnpiCnsdrdFlag"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardTmgMnpiCnsdrdFlag" xlink:to="lab_ecd_AwardTmgMnpiCnsdrdFlag" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestExpenseOperating_019cafa6-12dd-75a0-b6ff-d9f24970525d_terseLabel_en-US" xlink:label="lab_us-gaap_InterestExpenseOperating" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest expense</link:label>
    <link:label id="lab_us-gaap_InterestExpenseOperating_019cafa6-12dd-703e-9a9a-8ff08d6aada5_totalLabel_en-US" xlink:label="lab_us-gaap_InterestExpenseOperating" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Interest Expense</link:label>
    <link:label id="lab_us-gaap_InterestExpenseOperating_label_en-US" xlink:label="lab_us-gaap_InterestExpenseOperating" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Expense, Operating</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseOperating" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InterestExpenseOperating"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestExpenseOperating" xlink:to="lab_us-gaap_InterestExpenseOperating" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractEURMember_019cafa6-13e3-7175-8785-f55290ee1674_terseLabel_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractEURMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign currency forward contract EUR</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractEURMember_label_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractEURMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract EUR [Member]</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractEURMember_documentation_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractEURMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract EUR</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ForeignCurrencyForwardContractEURMember" xlink:href="obdc-20260331.xsd#obdc_ForeignCurrencyForwardContractEURMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ForeignCurrencyForwardContractEURMember" xlink:to="lab_obdc_ForeignCurrencyForwardContractEURMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_IncomeTaxesPaidIncludingExciseTaxes_019cafa6-136c-7b87-94af-ffc13746b9f7_terseLabel_en-US" xlink:label="lab_obdc_IncomeTaxesPaidIncludingExciseTaxes" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Taxes, including excise tax, paid during the period</link:label>
    <link:label id="lab_obdc_IncomeTaxesPaidIncludingExciseTaxes_label_en-US" xlink:label="lab_obdc_IncomeTaxesPaidIncludingExciseTaxes" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Income Taxes Paid Including Excise Taxes</link:label>
    <link:label id="lab_obdc_IncomeTaxesPaidIncludingExciseTaxes_documentation_en-US" xlink:label="lab_obdc_IncomeTaxesPaidIncludingExciseTaxes" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Income Taxes Paid Including Excise Taxes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_IncomeTaxesPaidIncludingExciseTaxes" xlink:href="obdc-20260331.xsd#obdc_IncomeTaxesPaidIncludingExciseTaxes"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_IncomeTaxesPaidIncludingExciseTaxes" xlink:to="lab_obdc_IncomeTaxesPaidIncludingExciseTaxes" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherReceivables_019cafa6-13e2-7725-a779-f701f67ac325_terseLabel_en-US" xlink:label="lab_us-gaap_OtherReceivables" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Receivable from a controlled affiliate</link:label>
    <link:label id="lab_us-gaap_OtherReceivables_label_en-US" xlink:label="lab_us-gaap_OtherReceivables" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Receivables</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherReceivables" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherReceivables"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherReceivables" xlink:to="lab_us-gaap_OtherReceivables" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_TermLoanMember_019cafa6-12dd-7bbd-b1ef-808c437d7fac_terseLabel_en-US" xlink:label="lab_obdc_TermLoanMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Term Loan</link:label>
    <link:label id="lab_obdc_TermLoanMember_label_en-US" xlink:label="lab_obdc_TermLoanMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Term Loan [Member]</link:label>
    <link:label id="lab_obdc_TermLoanMember_documentation_en-US" xlink:label="lab_obdc_TermLoanMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Term Loan</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_TermLoanMember" xlink:href="obdc-20260331.xsd#obdc_TermLoanMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_TermLoanMember" xlink:to="lab_obdc_TermLoanMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ManagementFeeExpense_019cafa6-13e3-703a-912c-b9efcbfab170_terseLabel_en-US" xlink:label="lab_us-gaap_ManagementFeeExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Management fee, net</link:label>
    <link:label id="lab_us-gaap_ManagementFeeExpense_label_en-US" xlink:label="lab_us-gaap_ManagementFeeExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Management Fee Expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ManagementFeeExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ManagementFeeExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ManagementFeeExpense" xlink:to="lab_us-gaap_ManagementFeeExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentFiscalPeriodFocus_019cafa6-136c-7eba-9072-be97cb31915b_terseLabel_en-US" xlink:label="lab_dei_DocumentFiscalPeriodFocus" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Document Fiscal Period Focus</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentFiscalPeriodFocus" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentFiscalPeriodFocus"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentFiscalPeriodFocus" xlink:to="lab_dei_DocumentFiscalPeriodFocus" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventAndSecuredDebtRatioEventInterestRate_019cafa6-136c-7348-8772-ad4656dfb22b_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventAndSecuredDebtRatioEventInterestRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Below investment grade and secured debt ratio events, interest rate</link:label>
    <link:label id="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventAndSecuredDebtRatioEventInterestRate_label_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventAndSecuredDebtRatioEventInterestRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Covenant Compliance, Below Investment Grade Event and Secured Debt Ratio Event, Interest Rate</link:label>
    <link:label id="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventAndSecuredDebtRatioEventInterestRate_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventAndSecuredDebtRatioEventInterestRate" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Covenant Compliance, Below Investment Grade Event and Secured Debt Ratio Event, Interest Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventAndSecuredDebtRatioEventInterestRate" xlink:href="obdc-20260331.xsd#obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventAndSecuredDebtRatioEventInterestRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventAndSecuredDebtRatioEventInterestRate" xlink:to="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventAndSecuredDebtRatioEventInterestRate" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AwardTmgMethodTextBlock_terseLabel_en-US" xlink:label="lab_ecd_AwardTmgMethodTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Award Timing Method</link:label>
    <link:label id="lab_ecd_AwardTmgMethodTextBlock_label_en-US" xlink:label="lab_ecd_AwardTmgMethodTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Timing Method [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardTmgMethodTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AwardTmgMethodTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardTmgMethodTextBlock" xlink:to="lab_ecd_AwardTmgMethodTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindPercentageOfInvestmentIncome_019cafa6-13e2-7f99-aa16-ec78e56e3aed_totalLabel_en-US" xlink:label="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindPercentageOfInvestmentIncome" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total PIK Income as a % of Investment Income</link:label>
    <link:label id="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindPercentageOfInvestmentIncome_label_en-US" xlink:label="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindPercentageOfInvestmentIncome" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest and Dividend Income, Operating, Paid in Kind, Percentage Of Investment Income</link:label>
    <link:label id="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindPercentageOfInvestmentIncome_documentation_en-US" xlink:label="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindPercentageOfInvestmentIncome" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest and Dividend Income, Operating, Paid in Kind, Percentage Of Investment Income</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InterestAndDividendIncomeOperatingPaidInKindPercentageOfInvestmentIncome" xlink:href="obdc-20260331.xsd#obdc_InterestAndDividendIncomeOperatingPaidInKindPercentageOfInvestmentIncome"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InterestAndDividendIncomeOperatingPaidInKindPercentageOfInvestmentIncome" xlink:to="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindPercentageOfInvestmentIncome" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MeasurementInputRevenueMultipleMember_019cafa6-136c-7fcf-924b-a47d71c29357_terseLabel_en-US" xlink:label="lab_us-gaap_MeasurementInputRevenueMultipleMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Revenue Multiple</link:label>
    <link:label id="lab_us-gaap_MeasurementInputRevenueMultipleMember_label_en-US" xlink:label="lab_us-gaap_MeasurementInputRevenueMultipleMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, Revenue Multiple [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MeasurementInputRevenueMultipleMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MeasurementInputRevenueMultipleMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MeasurementInputRevenueMultipleMember" xlink:to="lab_us-gaap_MeasurementInputRevenueMultipleMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AwardTypeAxis_terseLabel_en-US" xlink:label="lab_us-gaap_AwardTypeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Award Type</link:label>
    <link:label id="lab_us-gaap_AwardTypeAxis_label_en-US" xlink:label="lab_us-gaap_AwardTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Type [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AwardTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AwardTypeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AwardTypeAxis" xlink:to="lab_us-gaap_AwardTypeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_RecapitalizationExchangeRatio_019cafa6-136c-70ea-bc29-ee78020f333f_terseLabel_en-US" xlink:label="lab_obdc_RecapitalizationExchangeRatio" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Recapitalization exchange ratio</link:label>
    <link:label id="lab_obdc_RecapitalizationExchangeRatio_label_en-US" xlink:label="lab_obdc_RecapitalizationExchangeRatio" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Recapitalization Exchange Ratio</link:label>
    <link:label id="lab_obdc_RecapitalizationExchangeRatio_documentation_en-US" xlink:label="lab_obdc_RecapitalizationExchangeRatio" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Recapitalization Exchange Ratio</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_RecapitalizationExchangeRatio" xlink:href="obdc-20260331.xsd#obdc_RecapitalizationExchangeRatio"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_RecapitalizationExchangeRatio" xlink:to="lab_obdc_RecapitalizationExchangeRatio" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_UnsecuredInvestmentsMember_019cafa6-13e3-70e0-8bef-26c78daa98e0_terseLabel_en-US" xlink:label="lab_obdc_UnsecuredInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unsecured Investments</link:label>
    <link:label id="lab_obdc_UnsecuredInvestmentsMember_label_en-US" xlink:label="lab_obdc_UnsecuredInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unsecured Investments [Member]</link:label>
    <link:label id="lab_obdc_UnsecuredInvestmentsMember_documentation_en-US" xlink:label="lab_obdc_UnsecuredInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Unsecured Investments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_UnsecuredInvestmentsMember" xlink:href="obdc-20260331.xsd#obdc_UnsecuredInvestmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_UnsecuredInvestmentsMember" xlink:to="lab_obdc_UnsecuredInvestmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAccruedLiabilities_019cafa6-12dd-7419-b195-8daa558f4677_terseLabel_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAccruedLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other accrued expenses and other liabilities</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAccruedLiabilities_label_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAccruedLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Accrued Liabilities</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAccruedLiabilities_documentation_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAccruedLiabilities" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Accrued Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAccruedLiabilities" xlink:href="obdc-20260331.xsd#obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAccruedLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAccruedLiabilities" xlink:to="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAccruedLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_TradingSymbol_019cafa6-136c-7917-985f-da5fcdfd05e0_terseLabel_en-US" xlink:label="lab_dei_TradingSymbol" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Trading Symbol</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_TradingSymbol"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_TradingSymbol" xlink:to="lab_dei_TradingSymbol" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentTransfers_019cafa6-13e3-7089-b411-db656a4fab0a_terseLabel_en-US" xlink:label="lab_obdc_InvestmentTransfers" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transfers</link:label>
    <link:label id="lab_obdc_InvestmentTransfers_label_en-US" xlink:label="lab_obdc_InvestmentTransfers" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Transfers</link:label>
    <link:label id="lab_obdc_InvestmentTransfers_documentation_en-US" xlink:label="lab_obdc_InvestmentTransfers" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Transfers</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentTransfers" xlink:href="obdc-20260331.xsd#obdc_InvestmentTransfers"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentTransfers" xlink:to="lab_obdc_InvestmentTransfers" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SpecialtyFinanceEquityInvestmentsMember_019cafa6-136c-7646-9e24-d439d828af80_terseLabel_en-US" xlink:label="lab_obdc_SpecialtyFinanceEquityInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Specialty finance equity investments</link:label>
    <link:label id="lab_obdc_SpecialtyFinanceEquityInvestmentsMember_label_en-US" xlink:label="lab_obdc_SpecialtyFinanceEquityInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Specialty Finance Equity Investments [Member]</link:label>
    <link:label id="lab_obdc_SpecialtyFinanceEquityInvestmentsMember_documentation_en-US" xlink:label="lab_obdc_SpecialtyFinanceEquityInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Specialty Finance Equity Investments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SpecialtyFinanceEquityInvestmentsMember" xlink:href="obdc-20260331.xsd#obdc_SpecialtyFinanceEquityInvestmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SpecialtyFinanceEquityInvestmentsMember" xlink:to="lab_obdc_SpecialtyFinanceEquityInvestmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_Series2022ANotesTrancheAMember_019cafa6-12dd-7892-afeb-d83c7cdb7660_terseLabel_en-US" xlink:label="lab_obdc_Series2022ANotesTrancheAMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Series 2022A Notes, Tranche A</link:label>
    <link:label id="lab_obdc_Series2022ANotesTrancheAMember_label_en-US" xlink:label="lab_obdc_Series2022ANotesTrancheAMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Series 2022A Notes, Tranche A [Member]</link:label>
    <link:label id="lab_obdc_Series2022ANotesTrancheAMember_documentation_en-US" xlink:label="lab_obdc_Series2022ANotesTrancheAMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Series 2022A Notes, Tranche A</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_Series2022ANotesTrancheAMember" xlink:href="obdc-20260331.xsd#obdc_Series2022ANotesTrancheAMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_Series2022ANotesTrancheAMember" xlink:to="lab_obdc_Series2022ANotesTrancheAMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AccruedLiabilitiesAndOtherLiabilities_019cafa6-136c-79ec-b596-1f6faf9d9975_verboseLabel_en-US" xlink:label="lab_us-gaap_AccruedLiabilitiesAndOtherLiabilities" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Accrued expenses and other liabilities</link:label>
    <link:label id="lab_us-gaap_AccruedLiabilitiesAndOtherLiabilities_label_en-US" xlink:label="lab_us-gaap_AccruedLiabilitiesAndOtherLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Accrued Liabilities and Other Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedLiabilitiesAndOtherLiabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccruedLiabilitiesAndOtherLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AccruedLiabilitiesAndOtherLiabilities" xlink:to="lab_us-gaap_AccruedLiabilitiesAndOtherLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityAddressCityOrTown_019cafa6-13e2-7e5c-8060-0d990bea4057_terseLabel_en-US" xlink:label="lab_dei_EntityAddressCityOrTown" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Address, City or Town</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressCityOrTown"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityAddressCityOrTown" xlink:to="lab_dei_EntityAddressCityOrTown" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtVariableRateOneMember_019cafa6-13e3-7163-b9c8-b76dbb309fa8_terseLabel_en-US" xlink:label="lab_obdc_DebtVariableRateOneMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Period One</link:label>
    <link:label id="lab_obdc_DebtVariableRateOneMember_label_en-US" xlink:label="lab_obdc_DebtVariableRateOneMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Variable Rate One [Member]</link:label>
    <link:label id="lab_obdc_DebtVariableRateOneMember_documentation_en-US" xlink:label="lab_obdc_DebtVariableRateOneMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Variable Rate One</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtVariableRateOneMember" xlink:href="obdc-20260331.xsd#obdc_DebtVariableRateOneMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtVariableRateOneMember" xlink:to="lab_obdc_DebtVariableRateOneMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_NonPeoNeoAvgCompActuallyPaidAmt_terseLabel_en-US" xlink:label="lab_ecd_NonPeoNeoAvgCompActuallyPaidAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-PEO NEO Average Compensation Actually Paid Amount</link:label>
    <link:label id="lab_ecd_NonPeoNeoAvgCompActuallyPaidAmt_label_en-US" xlink:label="lab_ecd_NonPeoNeoAvgCompActuallyPaidAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-PEO NEO Average Compensation Actually Paid Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_NonPeoNeoAvgCompActuallyPaidAmt" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_NonPeoNeoAvgCompActuallyPaidAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_NonPeoNeoAvgCompActuallyPaidAmt" xlink:to="lab_ecd_NonPeoNeoAvgCompActuallyPaidAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeStatementLocationDomain_019cafa6-136c-768f-87a5-084ad820e33b_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeStatementLocationDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Income Statement Location [Domain]</link:label>
    <link:label id="lab_us-gaap_IncomeStatementLocationDomain_label_en-US" xlink:label="lab_us-gaap_IncomeStatementLocationDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statement of Income Location, Balance [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementLocationDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeStatementLocationDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeStatementLocationDomain" xlink:to="lab_us-gaap_IncomeStatementLocationDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentTerminationPeriodDomain_019cafa6-136c-7fc4-88f1-393208395db6_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentTerminationPeriodDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Instrument, Termination Period [Domain]</link:label>
    <link:label id="lab_obdc_DebtInstrumentTerminationPeriodDomain_label_en-US" xlink:label="lab_obdc_DebtInstrumentTerminationPeriodDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Termination Period [Domain]</link:label>
    <link:label id="lab_obdc_DebtInstrumentTerminationPeriodDomain_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentTerminationPeriodDomain" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Termination Period [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentTerminationPeriodDomain" xlink:href="obdc-20260331.xsd#obdc_DebtInstrumentTerminationPeriodDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentTerminationPeriodDomain" xlink:to="lab_obdc_DebtInstrumentTerminationPeriodDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_CompActuallyPaidVsOtherMeasureTextBlock_terseLabel_en-US" xlink:label="lab_ecd_CompActuallyPaidVsOtherMeasureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Compensation Actually Paid vs. Other Measure</link:label>
    <link:label id="lab_ecd_CompActuallyPaidVsOtherMeasureTextBlock_label_en-US" xlink:label="lab_ecd_CompActuallyPaidVsOtherMeasureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Compensation Actually Paid vs. Other Measure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_CompActuallyPaidVsOtherMeasureTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_CompActuallyPaidVsOtherMeasureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_CompActuallyPaidVsOtherMeasureTextBlock" xlink:to="lab_ecd_CompActuallyPaidVsOtherMeasureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationConsiderationTransferred1_019cafa6-136c-7454-a2d7-2007bdb955ec_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationConsiderationTransferred1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total purchase price</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationConsiderationTransferred1_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationConsiderationTransferred1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Consideration Transferred</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationConsiderationTransferred1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationConsiderationTransferred1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationConsiderationTransferred1" xlink:to="lab_us-gaap_BusinessCombinationConsiderationTransferred1" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityEmergingGrowthCompany_019cafa6-13e2-7312-a7aa-dded76b1b4d8_terseLabel_en-US" xlink:label="lab_dei_EntityEmergingGrowthCompany" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Emerging Growth Company</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityEmergingGrowthCompany" xlink:to="lab_dei_EntityEmergingGrowthCompany" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_ChngInFrValAsOfVstngDtOfPrrYrEqtyAwrdsVstdInCvrdYrMember_terseLabel_en-US" xlink:label="lab_ecd_ChngInFrValAsOfVstngDtOfPrrYrEqtyAwrdsVstdInCvrdYrMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Change in Fair Value as of Vesting Date of Prior Year Equity Awards Vested in Covered Year</link:label>
    <link:label id="lab_ecd_ChngInFrValAsOfVstngDtOfPrrYrEqtyAwrdsVstdInCvrdYrMember_label_en-US" xlink:label="lab_ecd_ChngInFrValAsOfVstngDtOfPrrYrEqtyAwrdsVstdInCvrdYrMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Change in Fair Value as of Vesting Date of Prior Year Equity Awards Vested in Covered Year [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_ChngInFrValAsOfVstngDtOfPrrYrEqtyAwrdsVstdInCvrdYrMember" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_ChngInFrValAsOfVstngDtOfPrrYrEqtyAwrdsVstdInCvrdYrMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_ChngInFrValAsOfVstngDtOfPrrYrEqtyAwrdsVstdInCvrdYrMember" xlink:to="lab_ecd_ChngInFrValAsOfVstngDtOfPrrYrEqtyAwrdsVstdInCvrdYrMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DeferredFinanceCostsNet_019cafa6-12dd-710d-b390-da4d55992974_terseLabel_en-US" xlink:label="lab_us-gaap_DeferredFinanceCostsNet" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unamortized debt issuance costs</link:label>
    <link:label id="lab_us-gaap_DeferredFinanceCostsNet_019cafa6-12dd-7c17-a660-f95318fd0245_negatedLabel_en-US" xlink:label="lab_us-gaap_DeferredFinanceCostsNet" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Debt Issuance Costs</link:label>
    <link:label id="lab_us-gaap_DeferredFinanceCostsNet_label_en-US" xlink:label="lab_us-gaap_DeferredFinanceCostsNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Issuance Costs, Net</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredFinanceCostsNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredFinanceCostsNet"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredFinanceCostsNet" xlink:to="lab_us-gaap_DeferredFinanceCostsNet" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeGainLossOnDerivativeNet_019cafa6-136c-7bfa-8fa7-eab2bff616eb_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeGainLossOnDerivativeNet" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unrealized Appreciation (Depreciation)(a)</link:label>
    <link:label id="lab_us-gaap_DerivativeGainLossOnDerivativeNet_label_en-US" xlink:label="lab_us-gaap_DerivativeGainLossOnDerivativeNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative, Gain (Loss) on Derivative, Net</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeGainLossOnDerivativeNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeGainLossOnDerivativeNet"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeGainLossOnDerivativeNet" xlink:to="lab_us-gaap_DerivativeGainLossOnDerivativeNet" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentOwnedAtFairValueMember_019cafa6-136c-77dd-913a-2c5e044a8241_terseLabel_en-US" xlink:label="lab_obdc_InvestmentOwnedAtFairValueMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Owned, At Fair Value</link:label>
    <link:label id="lab_obdc_InvestmentOwnedAtFairValueMember_label_en-US" xlink:label="lab_obdc_InvestmentOwnedAtFairValueMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Owned, At Fair Value [Member]</link:label>
    <link:label id="lab_obdc_InvestmentOwnedAtFairValueMember_documentation_en-US" xlink:label="lab_obdc_InvestmentOwnedAtFairValueMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Owned, At Fair Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentOwnedAtFairValueMember" xlink:href="obdc-20260331.xsd#obdc_InvestmentOwnedAtFairValueMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentOwnedAtFairValueMember" xlink:to="lab_obdc_InvestmentOwnedAtFairValueMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RestrictedCashAndCashEquivalents_019cafa6-136c-7f00-9248-c811fed0c5c1_terseLabel_en-US" xlink:label="lab_us-gaap_RestrictedCashAndCashEquivalents" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Restricted cash</link:label>
    <link:label id="lab_us-gaap_RestrictedCashAndCashEquivalents_label_en-US" xlink:label="lab_us-gaap_RestrictedCashAndCashEquivalents" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Restricted Cash and Cash Equivalent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCashAndCashEquivalents" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RestrictedCashAndCashEquivalents"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RestrictedCashAndCashEquivalents" xlink:to="lab_us-gaap_RestrictedCashAndCashEquivalents" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractAUD2Member_019dafe0-42a1-745e-b5cf-e40ccec3c4b8_terseLabel_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractAUD2Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign currency forward contract AUD</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractAUD2Member_label_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractAUD2Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract AUD 2 [Member]</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractAUD2Member_documentation_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractAUD2Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract AUD 2</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ForeignCurrencyForwardContractAUD2Member" xlink:href="obdc-20260331.xsd#obdc_ForeignCurrencyForwardContractAUD2Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ForeignCurrencyForwardContractAUD2Member" xlink:to="lab_obdc_ForeignCurrencyForwardContractAUD2Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommonStockSharesOutstanding_019cafa6-12dd-79e7-ab8e-7288ba0992e1_verboseLabel_en-US" xlink:label="lab_us-gaap_CommonStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Common stock, shares outstanding (in shares)</link:label>
    <link:label id="lab_us-gaap_CommonStockSharesOutstanding_019cafa6-12dd-7d9b-a0a7-afed8e0c3c3a_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Shares outstanding, end of period (in shares)</link:label>
    <link:label id="lab_us-gaap_CommonStockSharesOutstanding_label_en-US" xlink:label="lab_us-gaap_CommonStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Common Stock, Shares, Outstanding</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockSharesOutstanding" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonStockSharesOutstanding"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockSharesOutstanding" xlink:to="lab_us-gaap_CommonStockSharesOutstanding" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ForeignCurrencyTransactionGainLossUnrealizedNoncash_019cafa6-136c-774b-9434-d4f4ae1e1568_negatedTerseLabel_en-US" xlink:label="lab_obdc_ForeignCurrencyTransactionGainLossUnrealizedNoncash" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Net change in unrealized (gain) loss on translation of assets and liabilities in foreign currencies</link:label>
    <link:label id="lab_obdc_ForeignCurrencyTransactionGainLossUnrealizedNoncash_label_en-US" xlink:label="lab_obdc_ForeignCurrencyTransactionGainLossUnrealizedNoncash" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Currency Transaction Gain (Loss), Unrealized, Noncash</link:label>
    <link:label id="lab_obdc_ForeignCurrencyTransactionGainLossUnrealizedNoncash_documentation_en-US" xlink:label="lab_obdc_ForeignCurrencyTransactionGainLossUnrealizedNoncash" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Foreign Currency Transaction Gain (Loss), Unrealized, Noncash</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ForeignCurrencyTransactionGainLossUnrealizedNoncash" xlink:href="obdc-20260331.xsd#obdc_ForeignCurrencyTransactionGainLossUnrealizedNoncash"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ForeignCurrencyTransactionGainLossUnrealizedNoncash" xlink:to="lab_obdc_ForeignCurrencyTransactionGainLossUnrealizedNoncash" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTaxAbstract_019cafa6-136c-7213-a05e-1e8030a59a54_verboseLabel_en-US" xlink:label="lab_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTaxAbstract" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Net Realized and Change in Unrealized Gain (Loss)</link:label>
    <link:label id="lab_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTaxAbstract_label_en-US" xlink:label="lab_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTaxAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gain (Loss), Investment and Derivative, Operating, and Foreign Currency Transaction, after Tax [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTaxAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTaxAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTaxAbstract" xlink:to="lab_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTaxAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfIndustries_019cafa6-13e3-7647-814d-4d234e656278_terseLabel_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfIndustries" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of industries</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfIndustries_label_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfIndustries" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Number Of Industries</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfIndustries_documentation_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfIndustries" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Number Of Industries</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfIndustries" xlink:href="obdc-20260331.xsd#obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfIndustries"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfIndustries" xlink:to="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfIndustries" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentRedemptionPricePercentageBasisSpreadOnVariableRate_019cafa6-136c-7a04-b17b-0679fb0d8584_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentRedemptionPricePercentageBasisSpreadOnVariableRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Basis points</link:label>
    <link:label id="lab_obdc_DebtInstrumentRedemptionPricePercentageBasisSpreadOnVariableRate_label_en-US" xlink:label="lab_obdc_DebtInstrumentRedemptionPricePercentageBasisSpreadOnVariableRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Redemption Price, Percentage, Basis Spread On Variable Rate</link:label>
    <link:label id="lab_obdc_DebtInstrumentRedemptionPricePercentageBasisSpreadOnVariableRate_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentRedemptionPricePercentageBasisSpreadOnVariableRate" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Redemption Price, Percentage, Basis Spread On Variable Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentRedemptionPricePercentageBasisSpreadOnVariableRate" xlink:href="obdc-20260331.xsd#obdc_DebtInstrumentRedemptionPricePercentageBasisSpreadOnVariableRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentRedemptionPricePercentageBasisSpreadOnVariableRate" xlink:to="lab_obdc_DebtInstrumentRedemptionPricePercentageBasisSpreadOnVariableRate" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ForeignCurrencyTransactionGainLossUnrealized_019cafa6-136c-7403-b3a5-0f79d5ad8228_verboseLabel_en-US" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossUnrealized" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Translation of assets and liabilities in foreign currencies and other transactions</link:label>
    <link:label id="lab_us-gaap_ForeignCurrencyTransactionGainLossUnrealized_019cafa6-136c-7719-803b-e23ebe986012_terseLabel_en-US" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossUnrealized" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net change in unrealized gain (loss) on foreign currency forward contracts</link:label>
    <link:label id="lab_us-gaap_ForeignCurrencyTransactionGainLossUnrealized_label_en-US" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossUnrealized" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unrealized Gain (Loss), Foreign Currency Transaction, before Tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ForeignCurrencyTransactionGainLossUnrealized" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ForeignCurrencyTransactionGainLossUnrealized"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ForeignCurrencyTransactionGainLossUnrealized" xlink:to="lab_us-gaap_ForeignCurrencyTransactionGainLossUnrealized" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_DvddsOrOthrErngsPdOnEqtyAwrdsNtOthrwsRflctdInTtlCompForCvrdYrMember_terseLabel_en-US" xlink:label="lab_ecd_DvddsOrOthrErngsPdOnEqtyAwrdsNtOthrwsRflctdInTtlCompForCvrdYrMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dividends or Other Earnings Paid on Equity Awards not Otherwise Reflected in Total Compensation for Covered Year</link:label>
    <link:label id="lab_ecd_DvddsOrOthrErngsPdOnEqtyAwrdsNtOthrwsRflctdInTtlCompForCvrdYrMember_label_en-US" xlink:label="lab_ecd_DvddsOrOthrErngsPdOnEqtyAwrdsNtOthrwsRflctdInTtlCompForCvrdYrMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividends or Other Earnings Paid on Equity Awards not Otherwise Reflected in Total Compensation for Covered Year [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_DvddsOrOthrErngsPdOnEqtyAwrdsNtOthrwsRflctdInTtlCompForCvrdYrMember" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_DvddsOrOthrErngsPdOnEqtyAwrdsNtOthrwsRflctdInTtlCompForCvrdYrMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_DvddsOrOthrErngsPdOnEqtyAwrdsNtOthrwsRflctdInTtlCompForCvrdYrMember" xlink:to="lab_ecd_DvddsOrOthrErngsPdOnEqtyAwrdsNtOthrwsRflctdInTtlCompForCvrdYrMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXClassBNotesMember_019cafa6-136c-7673-a182-ba578991f3bb_terseLabel_en-US" xlink:label="lab_obdc_CLOXClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO X, Class B Notes</link:label>
    <link:label id="lab_obdc_CLOXClassBNotesMember_label_en-US" xlink:label="lab_obdc_CLOXClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO X, Class B Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOXClassBNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOXClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO X, Class B Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXClassBNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOXClassBNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXClassBNotesMember" xlink:to="lab_obdc_CLOXClassBNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract_label_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Instruments and Hedging Activities Disclosure [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract" xlink:to="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityAddressPostalZipCode_019cafa6-12dd-7970-93c1-04849bd3d48a_terseLabel_en-US" xlink:label="lab_dei_EntityAddressPostalZipCode" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Address, Postal Zip Code</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressPostalZipCode"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityAddressPostalZipCode" xlink:to="lab_dei_EntityAddressPostalZipCode" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_RestatementDeterminationDate_terseLabel_en-US" xlink:label="lab_ecd_RestatementDeterminationDate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Restatement Determination Date</link:label>
    <link:label id="lab_ecd_RestatementDeterminationDate_label_en-US" xlink:label="lab_ecd_RestatementDeterminationDate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Restatement Determination Date</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_RestatementDeterminationDate" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_RestatementDeterminationDate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_RestatementDeterminationDate" xlink:to="lab_ecd_RestatementDeterminationDate" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1_019cafa6-136c-7698-8e18-60535dfa957a_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Basis spread on variable rate</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Basis Spread on Variable Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentBasisSpreadOnVariableRate1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1" xlink:to="lab_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockholdersEquityPeriodIncreaseDecrease_019cafa6-13e2-7210-adcc-bbbf146e9860_totalLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquityPeriodIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Increase (Decrease) in Net Assets</link:label>
    <link:label id="lab_us-gaap_StockholdersEquityPeriodIncreaseDecrease_label_en-US" xlink:label="lab_us-gaap_StockholdersEquityPeriodIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stockholders' Equity, Period Increase (Decrease)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityPeriodIncreaseDecrease" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockholdersEquityPeriodIncreaseDecrease"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockholdersEquityPeriodIncreaseDecrease" xlink:to="lab_us-gaap_StockholdersEquityPeriodIncreaseDecrease" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue_019cafa6-12dd-71c9-9e4e-bb4d63ab2c65_periodStartLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Fair value, beginning of period</link:label>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue_019cafa6-12dd-7ce0-bafa-a942209f1750_periodEndLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Fair value, end of period</link:label>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue_label_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" xlink:to="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementMember_019cafa6-12dd-7d59-8ea8-47fe218b7f86_terseLabel_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementMember_label_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement [Member]</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementMember_documentation_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentAdvisoryAgreementMember" xlink:href="obdc-20260331.xsd#obdc_InvestmentAdvisoryAgreementMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentAdvisoryAgreementMember" xlink:to="lab_obdc_InvestmentAdvisoryAgreementMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity_019cafa6-12dd-701f-ab2b-ee76f1ba4678_negatedLabel_en-US" xlink:label="lab_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Purchases of investments, net</link:label>
    <link:label id="lab_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity_label_en-US" xlink:label="lab_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payment for Purchase, Investment, Operating Activity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" xlink:to="lab_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_PnsnAdjsSvcCstMember_terseLabel_en-US" xlink:label="lab_ecd_PnsnAdjsSvcCstMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Pension Adjustments Service Cost</link:label>
    <link:label id="lab_ecd_PnsnAdjsSvcCstMember_label_en-US" xlink:label="lab_ecd_PnsnAdjsSvcCstMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Pension Adjustments Service Cost [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PnsnAdjsSvcCstMember" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_PnsnAdjsSvcCstMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PnsnAdjsSvcCstMember" xlink:to="lab_ecd_PnsnAdjsSvcCstMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DesignatedAsHedgingInstrumentMember_019cafa6-136c-7b20-ab90-00346fba2edc_terseLabel_en-US" xlink:label="lab_us-gaap_DesignatedAsHedgingInstrumentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Designated as Hedging Instrument</link:label>
    <link:label id="lab_us-gaap_DesignatedAsHedgingInstrumentMember_label_en-US" xlink:label="lab_us-gaap_DesignatedAsHedgingInstrumentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Designated as Hedging Instrument [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DesignatedAsHedgingInstrumentMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DesignatedAsHedgingInstrumentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DesignatedAsHedgingInstrumentMember" xlink:to="lab_us-gaap_DesignatedAsHedgingInstrumentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis_019cafa6-13e3-7452-9974-68369fe88627_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value Hierarchy and NAV [Axis]</link:label>
    <link:label id="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis_label_en-US" xlink:label="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Hierarchy and NAV [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueByFairValueHierarchyLevelAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:to="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ScheduleOfCommonStockPurchasePursuantToRepurchasePlanTableTextBlock_019cafa6-13e3-718f-b42d-e4d9c873cc64_terseLabel_en-US" xlink:label="lab_obdc_ScheduleOfCommonStockPurchasePursuantToRepurchasePlanTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Common Stock Purchase Pursuant to Repurchase Plan</link:label>
    <link:label id="lab_obdc_ScheduleOfCommonStockPurchasePursuantToRepurchasePlanTableTextBlock_label_en-US" xlink:label="lab_obdc_ScheduleOfCommonStockPurchasePursuantToRepurchasePlanTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule Of Common Stock Purchase Pursuant To Repurchase Plan [Table Text Block]</link:label>
    <link:label id="lab_obdc_ScheduleOfCommonStockPurchasePursuantToRepurchasePlanTableTextBlock_documentation_en-US" xlink:label="lab_obdc_ScheduleOfCommonStockPurchasePursuantToRepurchasePlanTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule Of Common Stock Purchase Pursuant To Repurchase Plan</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ScheduleOfCommonStockPurchasePursuantToRepurchasePlanTableTextBlock" xlink:href="obdc-20260331.xsd#obdc_ScheduleOfCommonStockPurchasePursuantToRepurchasePlanTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ScheduleOfCommonStockPurchasePursuantToRepurchasePlanTableTextBlock" xlink:to="lab_obdc_ScheduleOfCommonStockPurchasePursuantToRepurchasePlanTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedDepreciation_019cafa6-136c-7f95-b409-16feff09a654_terseLabel_en-US" xlink:label="lab_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedDepreciation" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unrealized loss for U.S. federal income tax purposes</link:label>
    <link:label id="lab_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedDepreciation_label_en-US" xlink:label="lab_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedDepreciation" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Tax Basis, Unrealized Loss</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedDepreciation" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TaxBasisOfInvestmentsGrossUnrealizedDepreciation"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedDepreciation" xlink:to="lab_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedDepreciation" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PrimeRateMember_019cafa6-12dd-7d71-a683-380649601c86_terseLabel_en-US" xlink:label="lab_us-gaap_PrimeRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Prime Rate</link:label>
    <link:label id="lab_us-gaap_PrimeRateMember_label_en-US" xlink:label="lab_us-gaap_PrimeRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Prime Rate [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrimeRateMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PrimeRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PrimeRateMember" xlink:to="lab_us-gaap_PrimeRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfSubsidiaryOrEquityMethodInvesteeTable_019cafa6-136c-71a6-b274-5ac27a08ce59_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfSubsidiaryOrEquityMethodInvesteeTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subsidiary or Equity Method Investee, Sale of Stock [Table]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfSubsidiaryOrEquityMethodInvesteeTable_label_en-US" xlink:label="lab_us-gaap_ScheduleOfSubsidiaryOrEquityMethodInvesteeTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsidiary or Equity Method Investee, Sale of Stock [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfSubsidiaryOrEquityMethodInvesteeTable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfSubsidiaryOrEquityMethodInvesteeTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfSubsidiaryOrEquityMethodInvesteeTable" xlink:to="lab_us-gaap_ScheduleOfSubsidiaryOrEquityMethodInvesteeTable" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfEventOfDefault_019cafa6-136c-7a38-9d51-68c3a595772a_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfEventOfDefault" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Increase per annum in event of default occurs</link:label>
    <link:label id="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfEventOfDefault_label_en-US" xlink:label="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfEventOfDefault" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Basis Spread on Variable Rate, Increase Per Annum If Event Of Default</link:label>
    <link:label id="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfEventOfDefault_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfEventOfDefault" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Basis Spread on Variable Rate, Increase Per Annum If Event Of Default</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfEventOfDefault" xlink:href="obdc-20260331.xsd#obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfEventOfDefault"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfEventOfDefault" xlink:to="lab_obdc_DebtInstrumentBasisSpreadOnVariableRateIncreasePerAnnumIfEventOfDefault" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockholdersEquityPolicyTextBlock_019cafa6-13e3-7c6d-9360-42605e55ed98_terseLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquityPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Offering Expenses and Distributions to Common Shareholders</link:label>
    <link:label id="lab_us-gaap_StockholdersEquityPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_StockholdersEquityPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stockholders' Equity, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockholdersEquityPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockholdersEquityPolicyTextBlock" xlink:to="lab_us-gaap_StockholdersEquityPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_CompActuallyPaidVsCoSelectedMeasureTextBlock_terseLabel_en-US" xlink:label="lab_ecd_CompActuallyPaidVsCoSelectedMeasureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Compensation Actually Paid vs. Company Selected Measure</link:label>
    <link:label id="lab_ecd_CompActuallyPaidVsCoSelectedMeasureTextBlock_label_en-US" xlink:label="lab_ecd_CompActuallyPaidVsCoSelectedMeasureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Compensation Actually Paid vs. Company Selected Measure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_CompActuallyPaidVsCoSelectedMeasureTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_CompActuallyPaidVsCoSelectedMeasureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_CompActuallyPaidVsCoSelectedMeasureTextBlock" xlink:to="lab_ecd_CompActuallyPaidVsCoSelectedMeasureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InterestRateSwap2024NotesMember_019cafa6-13e2-7de9-bd73-d26d687d4c7f_terseLabel_en-US" xlink:label="lab_obdc_InterestRateSwap2024NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest rate swaps 2027 Notes</link:label>
    <link:label id="lab_obdc_InterestRateSwap2024NotesMember_label_en-US" xlink:label="lab_obdc_InterestRateSwap2024NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Rate Swap, 2024 Notes [Member]</link:label>
    <link:label id="lab_obdc_InterestRateSwap2024NotesMember_documentation_en-US" xlink:label="lab_obdc_InterestRateSwap2024NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest Rate Swap, 2024 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InterestRateSwap2024NotesMember" xlink:href="obdc-20260331.xsd#obdc_InterestRateSwap2024NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InterestRateSwap2024NotesMember" xlink:to="lab_obdc_InterestRateSwap2024NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EquityClassOfTreasuryStockLineItems_019cafa6-13e2-732d-9ba9-637e01471e4e_terseLabel_en-US" xlink:label="lab_us-gaap_EquityClassOfTreasuryStockLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity, Class of Treasury Stock [Line Items]</link:label>
    <link:label id="lab_us-gaap_EquityClassOfTreasuryStockLineItems_label_en-US" xlink:label="lab_us-gaap_EquityClassOfTreasuryStockLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity, Class of Treasury Stock [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityClassOfTreasuryStockLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquityClassOfTreasuryStockLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquityClassOfTreasuryStockLineItems" xlink:to="lab_us-gaap_EquityClassOfTreasuryStockLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIMember_019cafa6-136c-7b3c-82c0-18104258d204_terseLabel_en-US" xlink:label="lab_obdc_CLOIIMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I</link:label>
    <link:label id="lab_obdc_CLOIIMember_label_en-US" xlink:label="lab_obdc_CLOIIMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO II [Member]</link:label>
    <link:label id="lab_obdc_CLOIIMember_documentation_en-US" xlink:label="lab_obdc_CLOIIMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO II</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIMember" xlink:href="obdc-20260331.xsd#obdc_CLOIIMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIMember" xlink:to="lab_obdc_CLOIIMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MergersAcquisitionsAndDispositionsDisclosuresTextBlock_019cafa6-136c-75cd-b9ac-f32df7077cfd_terseLabel_en-US" xlink:label="lab_us-gaap_MergersAcquisitionsAndDispositionsDisclosuresTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Merger with Blue Owl Capital Corporation III</link:label>
    <link:label id="lab_us-gaap_MergersAcquisitionsAndDispositionsDisclosuresTextBlock_label_en-US" xlink:label="lab_us-gaap_MergersAcquisitionsAndDispositionsDisclosuresTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Mergers, Acquisitions and Dispositions Disclosures [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MergersAcquisitionsAndDispositionsDisclosuresTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MergersAcquisitionsAndDispositionsDisclosuresTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MergersAcquisitionsAndDispositionsDisclosuresTextBlock" xlink:to="lab_us-gaap_MergersAcquisitionsAndDispositionsDisclosuresTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AllTradingArrangementsMember_terseLabel_en-US" xlink:label="lab_ecd_AllTradingArrangementsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">All Trading Arrangements</link:label>
    <link:label id="lab_ecd_AllTradingArrangementsMember_label_en-US" xlink:label="lab_ecd_AllTradingArrangementsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">All Trading Arrangements [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AllTradingArrangementsMember" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AllTradingArrangementsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AllTradingArrangementsMember" xlink:to="lab_ecd_AllTradingArrangementsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_EqtyAwrdsAdjFnTextBlock_terseLabel_en-US" xlink:label="lab_ecd_EqtyAwrdsAdjFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Awards Adjustments, Footnote</link:label>
    <link:label id="lab_ecd_EqtyAwrdsAdjFnTextBlock_label_en-US" xlink:label="lab_ecd_EqtyAwrdsAdjFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Awards Adjustments, Footnote [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_EqtyAwrdsAdjFnTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_EqtyAwrdsAdjFnTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_EqtyAwrdsAdjFnTextBlock" xlink:to="lab_ecd_EqtyAwrdsAdjFnTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_TotalShareholderRtnVsPeerGroupTextBlock_terseLabel_en-US" xlink:label="lab_ecd_TotalShareholderRtnVsPeerGroupTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total Shareholder Return Vs Peer Group</link:label>
    <link:label id="lab_ecd_TotalShareholderRtnVsPeerGroupTextBlock_label_en-US" xlink:label="lab_ecd_TotalShareholderRtnVsPeerGroupTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Total Shareholder Return Vs Peer Group [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TotalShareholderRtnVsPeerGroupTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_TotalShareholderRtnVsPeerGroupTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TotalShareholderRtnVsPeerGroupTextBlock" xlink:to="lab_ecd_TotalShareholderRtnVsPeerGroupTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentRedemptionPricePercentage_019cafa6-136c-7eba-8892-17b32de8ddad_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentRedemptionPricePercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt asset coverage (in percentage)</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentRedemptionPricePercentage_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentRedemptionPricePercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Redemption Price, Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentRedemptionPricePercentage" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentRedemptionPricePercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentRedemptionPricePercentage" xlink:to="lab_us-gaap_DebtInstrumentRedemptionPricePercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ClassOfTreasuryStockTable_019cafa6-13e3-7312-b7ba-b7bea47e79bc_terseLabel_en-US" xlink:label="lab_us-gaap_ClassOfTreasuryStockTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Class of Treasury Stock [Table]</link:label>
    <link:label id="lab_us-gaap_ClassOfTreasuryStockTable_label_en-US" xlink:label="lab_us-gaap_ClassOfTreasuryStockTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class of Treasury Stock [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfTreasuryStockTable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ClassOfTreasuryStockTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ClassOfTreasuryStockTable" xlink:to="lab_us-gaap_ClassOfTreasuryStockTable" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXClassARNotesMember_019cafa6-13e2-71cf-8e67-5b0fb5062450_terseLabel_en-US" xlink:label="lab_obdc_CLOXClassARNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO X, Class A-R Notes</link:label>
    <link:label id="lab_obdc_CLOXClassARNotesMember_label_en-US" xlink:label="lab_obdc_CLOXClassARNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO X, Class A-R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOXClassARNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOXClassARNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO X, Class A-R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXClassARNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOXClassARNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXClassARNotesMember" xlink:to="lab_obdc_CLOXClassARNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommitmentsAndContingenciesDisclosureAbstract_label_en-US" xlink:label="lab_us-gaap_CommitmentsAndContingenciesDisclosureAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Commitments and Contingencies Disclosure [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommitmentsAndContingenciesDisclosureAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureAbstract" xlink:to="lab_us-gaap_CommitmentsAndContingenciesDisclosureAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXClassBRNotesMember_019cafa6-136c-7943-83c7-59ca2ade1926_terseLabel_en-US" xlink:label="lab_obdc_CLOXClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO X, Class B-R Notes</link:label>
    <link:label id="lab_obdc_CLOXClassBRNotesMember_label_en-US" xlink:label="lab_obdc_CLOXClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO X, Class B-R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOXClassBRNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOXClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO X, Class B-R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXClassBRNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOXClassBRNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXClassBRNotesMember" xlink:to="lab_obdc_CLOXClassBRNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CanadianOvernightRepoRateAverageRateMember_019cafa6-12dd-77da-8801-4ca7166b9f8b_terseLabel_en-US" xlink:label="lab_obdc_CanadianOvernightRepoRateAverageRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CORRA Plus</link:label>
    <link:label id="lab_obdc_CanadianOvernightRepoRateAverageRateMember_label_en-US" xlink:label="lab_obdc_CanadianOvernightRepoRateAverageRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Canadian Overnight Repo Rate Average Rate [Member]</link:label>
    <link:label id="lab_obdc_CanadianOvernightRepoRateAverageRateMember_documentation_en-US" xlink:label="lab_obdc_CanadianOvernightRepoRateAverageRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Canadian Overnight Repo Rate Average Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CanadianOvernightRepoRateAverageRateMember" xlink:href="obdc-20260331.xsd#obdc_CanadianOvernightRepoRateAverageRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CanadianOvernightRepoRateAverageRateMember" xlink:to="lab_obdc_CanadianOvernightRepoRateAverageRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_EquityCommitmentToOwlHPFinanceMember_019dd7e7-e6e7-7591-b7ed-6a6c78142657_terseLabel_en-US" xlink:label="lab_obdc_EquityCommitmentToOwlHPFinanceMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Commitment To Owl-HP Finance</link:label>
    <link:label id="lab_obdc_EquityCommitmentToOwlHPFinanceMember_label_en-US" xlink:label="lab_obdc_EquityCommitmentToOwlHPFinanceMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Commitment To Owl-HP Finance [Member]</link:label>
    <link:label id="lab_obdc_EquityCommitmentToOwlHPFinanceMember_documentation_en-US" xlink:label="lab_obdc_EquityCommitmentToOwlHPFinanceMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Equity Commitment To Owl-HP Finance</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_EquityCommitmentToOwlHPFinanceMember" xlink:href="obdc-20260331.xsd#obdc_EquityCommitmentToOwlHPFinanceMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_EquityCommitmentToOwlHPFinanceMember" xlink:to="lab_obdc_EquityCommitmentToOwlHPFinanceMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities_019cafa6-136c-7af7-b5e0-122fe23dd81e_totalLabel_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net cash provided by (used in) operating activities</link:label>
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities_label_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash Provided by (Used in) Operating Activity, Including Discontinued Operation</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:to="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BlueOwlCreditSLFLLCMember_019cafa6-136c-73c5-9f75-df98aca68dc5_terseLabel_en-US" xlink:label="lab_obdc_BlueOwlCreditSLFLLCMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Blue Owl Credit SLF LLC</link:label>
    <link:label id="lab_obdc_BlueOwlCreditSLFLLCMember_label_en-US" xlink:label="lab_obdc_BlueOwlCreditSLFLLCMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Blue Owl Credit SLF LLC [Member]</link:label>
    <link:label id="lab_obdc_BlueOwlCreditSLFLLCMember_documentation_en-US" xlink:label="lab_obdc_BlueOwlCreditSLFLLCMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Blue Owl Credit SLF LLC</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BlueOwlCreditSLFLLCMember" xlink:href="obdc-20260331.xsd#obdc_BlueOwlCreditSLFLLCMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BlueOwlCreditSLFLLCMember" xlink:to="lab_obdc_BlueOwlCreditSLFLLCMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueRollForward_019cafa6-13e3-7565-b26e-5a7ca7446ce2_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueRollForward" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments in and Advances to Affiliates, at Fair Value [Roll Forward]</link:label>
    <link:label id="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueRollForward_label_en-US" xlink:label="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueRollForward" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investments in and Advances to Affiliates, at Fair Value [Roll Forward]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueRollForward" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueRollForward"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueRollForward" xlink:to="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueRollForward" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_RelatedPartyTransactionWrittenNoticeForContractTerminationTerm_019cafa6-136c-7b3c-8235-b51e3289df41_terseLabel_en-US" xlink:label="lab_obdc_RelatedPartyTransactionWrittenNoticeForContractTerminationTerm" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Written notice for contract termination, term</link:label>
    <link:label id="lab_obdc_RelatedPartyTransactionWrittenNoticeForContractTerminationTerm_label_en-US" xlink:label="lab_obdc_RelatedPartyTransactionWrittenNoticeForContractTerminationTerm" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction, Written Notice For Contract Termination, Term</link:label>
    <link:label id="lab_obdc_RelatedPartyTransactionWrittenNoticeForContractTerminationTerm_documentation_en-US" xlink:label="lab_obdc_RelatedPartyTransactionWrittenNoticeForContractTerminationTerm" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Related Party Transaction, Written Notice For Contract Termination, Term</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_RelatedPartyTransactionWrittenNoticeForContractTerminationTerm" xlink:href="obdc-20260331.xsd#obdc_RelatedPartyTransactionWrittenNoticeForContractTerminationTerm"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_RelatedPartyTransactionWrittenNoticeForContractTerminationTerm" xlink:to="lab_obdc_RelatedPartyTransactionWrittenNoticeForContractTerminationTerm" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales_019cafa6-12dd-7e9a-bf69-2753ccdf84ff_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Proceeds from investments, net</link:label>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales_label_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Sales</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" xlink:to="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsequentEventMember_019cafa6-136c-7ec3-afa5-4dd0059165a8_terseLabel_en-US" xlink:label="lab_us-gaap_SubsequentEventMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subsequent Event</link:label>
    <link:label id="lab_us-gaap_SubsequentEventMember_label_en-US" xlink:label="lab_us-gaap_SubsequentEventMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsequent Event [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsequentEventMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventMember" xlink:to="lab_us-gaap_SubsequentEventMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_EquityValuationAssumptionDifferenceFnTextBlock_terseLabel_en-US" xlink:label="lab_ecd_EquityValuationAssumptionDifferenceFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Valuation Assumption Difference, Footnote</link:label>
    <link:label id="lab_ecd_EquityValuationAssumptionDifferenceFnTextBlock_label_en-US" xlink:label="lab_ecd_EquityValuationAssumptionDifferenceFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Valuation Assumption Difference, Footnote [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_EquityValuationAssumptionDifferenceFnTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_EquityValuationAssumptionDifferenceFnTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_EquityValuationAssumptionDifferenceFnTextBlock" xlink:to="lab_ecd_EquityValuationAssumptionDifferenceFnTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_PeoTotalCompAmt_terseLabel_en-US" xlink:label="lab_ecd_PeoTotalCompAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">PEO Total Compensation Amount</link:label>
    <link:label id="lab_ecd_PeoTotalCompAmt_label_en-US" xlink:label="lab_ecd_PeoTotalCompAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">PEO Total Compensation Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PeoTotalCompAmt" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_PeoTotalCompAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PeoTotalCompAmt" xlink:to="lab_ecd_PeoTotalCompAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongtermDebtTypeAxis_019cafa6-13e2-78f5-8f8a-f161200cd94b_terseLabel_en-US" xlink:label="lab_us-gaap_LongtermDebtTypeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Long-Term Debt, Type [Axis]</link:label>
    <link:label id="lab_us-gaap_LongtermDebtTypeAxis_label_en-US" xlink:label="lab_us-gaap_LongtermDebtTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Long-Term Debt, Type [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LongtermDebtTypeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongtermDebtTypeAxis" xlink:to="lab_us-gaap_LongtermDebtTypeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ContainerAndPackagingSectorMember_019cafa6-13e3-73cb-a0c2-9b07e013cd93_terseLabel_en-US" xlink:label="lab_us-gaap_ContainerAndPackagingSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Containers and packaging</link:label>
    <link:label id="lab_us-gaap_ContainerAndPackagingSectorMember_label_en-US" xlink:label="lab_us-gaap_ContainerAndPackagingSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Container and Packaging Sector [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContainerAndPackagingSectorMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ContainerAndPackagingSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ContainerAndPackagingSectorMember" xlink:to="lab_us-gaap_ContainerAndPackagingSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentInterestRatePaidInKind_019cafa6-136c-7801-a1d6-63ae93b3e9b9_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentInterestRatePaidInKind" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">PIK</link:label>
    <link:label id="lab_us-gaap_InvestmentInterestRatePaidInKind_label_en-US" xlink:label="lab_us-gaap_InvestmentInterestRatePaidInKind" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Interest Rate, Paid in Kind</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentInterestRatePaidInKind" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentInterestRatePaidInKind"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentInterestRatePaidInKind" xlink:to="lab_us-gaap_InvestmentInterestRatePaidInKind" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_019cafa6-12dd-7d7a-b291-887740673604_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Assets acquired:</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Asset Acquired, Asset [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract" xlink:to="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeFairValueOfDerivativeLiability_019cafa6-136c-7f0c-918d-f2eb2581c616_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_DerivativeFairValueOfDerivativeLiability" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Liabilities</link:label>
    <link:label id="lab_us-gaap_DerivativeFairValueOfDerivativeLiability_label_en-US" xlink:label="lab_us-gaap_DerivativeFairValueOfDerivativeLiability" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Liability, Subject to Master Netting Arrangement, before Offset</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeFairValueOfDerivativeLiability" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeFairValueOfDerivativeLiability"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeFairValueOfDerivativeLiability" xlink:to="lab_us-gaap_DerivativeFairValueOfDerivativeLiability" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersBetweenInvestmentTypes_019cafa6-13e3-74f3-8aab-cef9a8511e16_terseLabel_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersBetweenInvestmentTypes" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transfers between investment types</link:label>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersBetweenInvestmentTypes_label_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersBetweenInvestmentTypes" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Transfers Between Investment Types</link:label>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersBetweenInvestmentTypes_documentation_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersBetweenInvestmentTypes" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Transfers Between Investment Types</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersBetweenInvestmentTypes" xlink:href="obdc-20260331.xsd#obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersBetweenInvestmentTypes"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersBetweenInvestmentTypes" xlink:to="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersBetweenInvestmentTypes" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXRefinancingAdditionalPreferredSharesMember_019cafa6-12dd-74fd-a37f-f1f6fc1e8954_terseLabel_en-US" xlink:label="lab_obdc_CLOXRefinancingAdditionalPreferredSharesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO X, Refinancing Additional Preferred Shares</link:label>
    <link:label id="lab_obdc_CLOXRefinancingAdditionalPreferredSharesMember_label_en-US" xlink:label="lab_obdc_CLOXRefinancingAdditionalPreferredSharesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO X, Refinancing Additional Preferred Shares [Member]</link:label>
    <link:label id="lab_obdc_CLOXRefinancingAdditionalPreferredSharesMember_documentation_en-US" xlink:label="lab_obdc_CLOXRefinancingAdditionalPreferredSharesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO X, Refinancing Additional Preferred Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXRefinancingAdditionalPreferredSharesMember" xlink:href="obdc-20260331.xsd#obdc_CLOXRefinancingAdditionalPreferredSharesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXRefinancingAdditionalPreferredSharesMember" xlink:to="lab_obdc_CLOXRefinancingAdditionalPreferredSharesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfInvestmentsAbstract_019cafa6-136c-7771-bfae-982d6b081ef9_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfInvestmentsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Investments [Abstract]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfInvestmentsAbstract_label_en-US" xlink:label="lab_us-gaap_ScheduleOfInvestmentsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Investments [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfInvestmentsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfInvestmentsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfInvestmentsAbstract" xlink:to="lab_us-gaap_ScheduleOfInvestmentsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StatementEquityComponentsAxis_019cafa6-136c-7494-8832-3c846d5172c3_terseLabel_en-US" xlink:label="lab_us-gaap_StatementEquityComponentsAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Components [Axis]</link:label>
    <link:label id="lab_us-gaap_StatementEquityComponentsAxis_label_en-US" xlink:label="lab_us-gaap_StatementEquityComponentsAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Components [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementEquityComponentsAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatementEquityComponentsAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementEquityComponentsAxis" xlink:to="lab_us-gaap_StatementEquityComponentsAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_EquityCommitmentToFifthSeasonMember_019cafa6-12dd-73bc-b81b-9983ca2f0312_terseLabel_en-US" xlink:label="lab_obdc_EquityCommitmentToFifthSeasonMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Commitment To Fifth Season</link:label>
    <link:label id="lab_obdc_EquityCommitmentToFifthSeasonMember_label_en-US" xlink:label="lab_obdc_EquityCommitmentToFifthSeasonMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Commitment To Fifth Season [Member]</link:label>
    <link:label id="lab_obdc_EquityCommitmentToFifthSeasonMember_documentation_en-US" xlink:label="lab_obdc_EquityCommitmentToFifthSeasonMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Equity Commitment To Fifth Season</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_EquityCommitmentToFifthSeasonMember" xlink:href="obdc-20260331.xsd#obdc_EquityCommitmentToFifthSeasonMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_EquityCommitmentToFifthSeasonMember" xlink:to="lab_obdc_EquityCommitmentToFifthSeasonMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_TwoThousandTwentySixNotesMember_019cafa6-136c-7738-9c4d-8055b8858516_terseLabel_en-US" xlink:label="lab_obdc_TwoThousandTwentySixNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2026 Notes</link:label>
    <link:label id="lab_obdc_TwoThousandTwentySixNotesMember_label_en-US" xlink:label="lab_obdc_TwoThousandTwentySixNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Two Thousand Twenty-Six Notes [Member]</link:label>
    <link:label id="lab_obdc_TwoThousandTwentySixNotesMember_documentation_en-US" xlink:label="lab_obdc_TwoThousandTwentySixNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Two Thousand Twenty-Six Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_TwoThousandTwentySixNotesMember" xlink:href="obdc-20260331.xsd#obdc_TwoThousandTwentySixNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_TwoThousandTwentySixNotesMember" xlink:to="lab_obdc_TwoThousandTwentySixNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_NonRule10b51ArrAdoptedFlag_terseLabel_en-US" xlink:label="lab_ecd_NonRule10b51ArrAdoptedFlag" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-Rule 10b5-1 Arrangement Adopted</link:label>
    <link:label id="lab_ecd_NonRule10b51ArrAdoptedFlag_label_en-US" xlink:label="lab_ecd_NonRule10b51ArrAdoptedFlag" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-Rule 10b5-1 Arrangement Adopted [Flag]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_NonRule10b51ArrAdoptedFlag" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_NonRule10b51ArrAdoptedFlag"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_NonRule10b51ArrAdoptedFlag" xlink:to="lab_ecd_NonRule10b51ArrAdoptedFlag" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NumberOfReportableSegments_019cafa6-13e3-7c80-b636-d9830927d356_terseLabel_en-US" xlink:label="lab_us-gaap_NumberOfReportableSegments" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of reportable segments</link:label>
    <link:label id="lab_us-gaap_NumberOfReportableSegments_label_en-US" xlink:label="lab_us-gaap_NumberOfReportableSegments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of Reportable Segments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NumberOfReportableSegments" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NumberOfReportableSegments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NumberOfReportableSegments" xlink:to="lab_us-gaap_NumberOfReportableSegments" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVClassC2NotesMember_019cafa6-12dd-7b97-b608-57075b3b9275_terseLabel_en-US" xlink:label="lab_obdc_CLOVClassC2NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO V, Class C-2 Notes</link:label>
    <link:label id="lab_obdc_CLOVClassC2NotesMember_label_en-US" xlink:label="lab_obdc_CLOVClassC2NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO V, Class C-2 Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVClassC2NotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVClassC2NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO V, Class C-2 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVClassC2NotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOVClassC2NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVClassC2NotesMember" xlink:to="lab_obdc_CLOVClassC2NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVClassB2NotesMember_019cafa6-13e3-74b1-97ac-a9bc83e4fd26_terseLabel_en-US" xlink:label="lab_obdc_CLOVClassB2NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO V, Class B-2 Notes</link:label>
    <link:label id="lab_obdc_CLOVClassB2NotesMember_label_en-US" xlink:label="lab_obdc_CLOVClassB2NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO V, Class B-2 Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVClassB2NotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVClassB2NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO V, Class B-2 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVClassB2NotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOVClassB2NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVClassB2NotesMember" xlink:to="lab_obdc_CLOVClassB2NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_EquityCommitmentToLSIFinancingLLCMember_019cafa6-12dd-73f9-b172-b643a77d2485_terseLabel_en-US" xlink:label="lab_obdc_EquityCommitmentToLSIFinancingLLCMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Commitment To LSI Financing LLC</link:label>
    <link:label id="lab_obdc_EquityCommitmentToLSIFinancingLLCMember_label_en-US" xlink:label="lab_obdc_EquityCommitmentToLSIFinancingLLCMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Commitment To LSI Financing LLC [Member]</link:label>
    <link:label id="lab_obdc_EquityCommitmentToLSIFinancingLLCMember_documentation_en-US" xlink:label="lab_obdc_EquityCommitmentToLSIFinancingLLCMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Equity Commitment To LSI Financing LLC</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_EquityCommitmentToLSIFinancingLLCMember" xlink:href="obdc-20260331.xsd#obdc_EquityCommitmentToLSIFinancingLLCMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_EquityCommitmentToLSIFinancingLLCMember" xlink:to="lab_obdc_EquityCommitmentToLSIFinancingLLCMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityAddressStateOrProvince_019cafa6-12dd-7d81-a2c0-d943b483d77d_terseLabel_en-US" xlink:label="lab_dei_EntityAddressStateOrProvince" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Address, State or Province</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressStateOrProvince"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityAddressStateOrProvince" xlink:to="lab_dei_EntityAddressStateOrProvince" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DelayedDrawTermLoanMember_019cafa6-136c-7159-b60c-bf92c2df88eb_terseLabel_en-US" xlink:label="lab_us-gaap_DelayedDrawTermLoanMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Delayed draw loan commitments</link:label>
    <link:label id="lab_us-gaap_DelayedDrawTermLoanMember_label_en-US" xlink:label="lab_us-gaap_DelayedDrawTermLoanMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Delayed Draw Term Loan (DDTL) [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DelayedDrawTermLoanMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DelayedDrawTermLoanMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DelayedDrawTermLoanMember" xlink:to="lab_us-gaap_DelayedDrawTermLoanMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_AdministrationAgreementMember_019cafa6-13e3-7be8-be78-7ceb2212494f_terseLabel_en-US" xlink:label="lab_obdc_AdministrationAgreementMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Administration Agreement</link:label>
    <link:label id="lab_obdc_AdministrationAgreementMember_label_en-US" xlink:label="lab_obdc_AdministrationAgreementMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Administration Agreement [Member]</link:label>
    <link:label id="lab_obdc_AdministrationAgreementMember_documentation_en-US" xlink:label="lab_obdc_AdministrationAgreementMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Administration Agreement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_AdministrationAgreementMember" xlink:href="obdc-20260331.xsd#obdc_AdministrationAgreementMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_AdministrationAgreementMember" xlink:to="lab_obdc_AdministrationAgreementMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentAffiliatedIssuerNoncontrolledMember_019cafa6-12dd-7d32-972a-9afca73db2d3_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentAffiliatedIssuerNoncontrolledMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-controlled, affiliated investments</link:label>
    <link:label id="lab_us-gaap_InvestmentAffiliatedIssuerNoncontrolledMember_019cafa6-12dd-7191-8d35-5a495fa61072_verboseLabel_en-US" xlink:label="lab_us-gaap_InvestmentAffiliatedIssuerNoncontrolledMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Non-controlled, affiliated investments</link:label>
    <link:label id="lab_us-gaap_InvestmentAffiliatedIssuerNoncontrolledMember_label_en-US" xlink:label="lab_us-gaap_InvestmentAffiliatedIssuerNoncontrolledMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Affiliated Issuer, Noncontrolled [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentAffiliatedIssuerNoncontrolledMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentAffiliatedIssuerNoncontrolledMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentAffiliatedIssuerNoncontrolledMember" xlink:to="lab_us-gaap_InvestmentAffiliatedIssuerNoncontrolledMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtVariableRateComponentThreeLessThanProductMember_019cafa6-13e2-79c7-a68c-13365d757b65_terseLabel_en-US" xlink:label="lab_obdc_DebtVariableRateComponentThreeLessThanProductMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Two, Less Than Product</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentThreeLessThanProductMember_label_en-US" xlink:label="lab_obdc_DebtVariableRateComponentThreeLessThanProductMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Three, Less Than Product [Member]</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentThreeLessThanProductMember_documentation_en-US" xlink:label="lab_obdc_DebtVariableRateComponentThreeLessThanProductMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Three, Less Than Product</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtVariableRateComponentThreeLessThanProductMember" xlink:href="obdc-20260331.xsd#obdc_DebtVariableRateComponentThreeLessThanProductMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtVariableRateComponentThreeLessThanProductMember" xlink:to="lab_obdc_DebtVariableRateComponentThreeLessThanProductMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyNetAssetsRollForward_019cafa6-136c-744a-9ccc-f1c293a29938_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyNetAssetsRollForward" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Company, Net Assets [Roll Forward]</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyNetAssetsRollForward_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyNetAssetsRollForward" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Net Assets [Roll Forward]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyNetAssetsRollForward" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyNetAssetsRollForward"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyNetAssetsRollForward" xlink:to="lab_us-gaap_InvestmentCompanyNetAssetsRollForward" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_MiddleMarketLoansMember_019cafa6-136c-72de-aae9-da32a082c04c_terseLabel_en-US" xlink:label="lab_obdc_MiddleMarketLoansMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Middle Market Loans</link:label>
    <link:label id="lab_obdc_MiddleMarketLoansMember_label_en-US" xlink:label="lab_obdc_MiddleMarketLoansMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Middle Market Loans [Member]</link:label>
    <link:label id="lab_obdc_MiddleMarketLoansMember_documentation_en-US" xlink:label="lab_obdc_MiddleMarketLoansMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Middle Market Loans</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_MiddleMarketLoansMember" xlink:href="obdc-20260331.xsd#obdc_MiddleMarketLoansMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_MiddleMarketLoansMember" xlink:to="lab_obdc_MiddleMarketLoansMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_IndividualAxis_terseLabel_en-US" xlink:label="lab_ecd_IndividualAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Individual:</link:label>
    <link:label id="lab_ecd_IndividualAxis_label_en-US" xlink:label="lab_ecd_IndividualAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Individual [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_IndividualAxis" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_IndividualAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_IndividualAxis" xlink:to="lab_ecd_IndividualAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CreditSLFMember_019cafa6-12dd-71e7-9a0c-8c11835b7ef1_terseLabel_en-US" xlink:label="lab_obdc_CreditSLFMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Credit SLF</link:label>
    <link:label id="lab_obdc_CreditSLFMember_label_en-US" xlink:label="lab_obdc_CreditSLFMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Credit SLF [Member]</link:label>
    <link:label id="lab_obdc_CreditSLFMember_documentation_en-US" xlink:label="lab_obdc_CreditSLFMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Credit SLF</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CreditSLFMember" xlink:href="obdc-20260331.xsd#obdc_CreditSLFMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CreditSLFMember" xlink:to="lab_obdc_CreditSLFMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentCovenantMinimumNetWorth_019cafa6-12dd-7bbd-a1ee-4a39f8d631cb_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantMinimumNetWorth" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Minimum net worth</link:label>
    <link:label id="lab_obdc_DebtInstrumentCovenantMinimumNetWorth_label_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantMinimumNetWorth" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Covenant, Minimum Net Worth</link:label>
    <link:label id="lab_obdc_DebtInstrumentCovenantMinimumNetWorth_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantMinimumNetWorth" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Covenant, Minimum Net Worth</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentCovenantMinimumNetWorth" xlink:href="obdc-20260331.xsd#obdc_DebtInstrumentCovenantMinimumNetWorth"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentCovenantMinimumNetWorth" xlink:to="lab_obdc_DebtInstrumentCovenantMinimumNetWorth" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PaymentsOfDividendsCommonStock_019cafa6-136c-7046-b3a3-395161fabc18_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_PaymentsOfDividendsCommonStock" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Cash distributions paid to shareholders</link:label>
    <link:label id="lab_us-gaap_PaymentsOfDividendsCommonStock_label_en-US" xlink:label="lab_us-gaap_PaymentsOfDividendsCommonStock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payments of Ordinary Dividends, Common Stock</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfDividendsCommonStock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsOfDividendsCommonStock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsOfDividendsCommonStock" xlink:to="lab_us-gaap_PaymentsOfDividendsCommonStock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentNonAffiliatedIssuerNoncontrolledMember_019cafa6-12dd-76b2-9e3c-ddb21114f4a5_terseLabel_en-US" xlink:label="lab_obdc_InvestmentNonAffiliatedIssuerNoncontrolledMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment, Non- Affiliated Issuer, Noncontrolled</link:label>
    <link:label id="lab_obdc_InvestmentNonAffiliatedIssuerNoncontrolledMember_label_en-US" xlink:label="lab_obdc_InvestmentNonAffiliatedIssuerNoncontrolledMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Non- Affiliated Issuer, Noncontrolled [Member]</link:label>
    <link:label id="lab_obdc_InvestmentNonAffiliatedIssuerNoncontrolledMember_documentation_en-US" xlink:label="lab_obdc_InvestmentNonAffiliatedIssuerNoncontrolledMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment, Non- Affiliated Issuer, Noncontrolled</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentNonAffiliatedIssuerNoncontrolledMember" xlink:href="obdc-20260331.xsd#obdc_InvestmentNonAffiliatedIssuerNoncontrolledMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentNonAffiliatedIssuerNoncontrolledMember" xlink:to="lab_obdc_InvestmentNonAffiliatedIssuerNoncontrolledMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_ForgoneRecoveryExplanationOfImpracticabilityTextBlock_terseLabel_en-US" xlink:label="lab_ecd_ForgoneRecoveryExplanationOfImpracticabilityTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Forgone Recovery, Explanation of Impracticability</link:label>
    <link:label id="lab_ecd_ForgoneRecoveryExplanationOfImpracticabilityTextBlock_label_en-US" xlink:label="lab_ecd_ForgoneRecoveryExplanationOfImpracticabilityTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Forgone Recovery, Explanation of Impracticability [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_ForgoneRecoveryExplanationOfImpracticabilityTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_ForgoneRecoveryExplanationOfImpracticabilityTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_ForgoneRecoveryExplanationOfImpracticabilityTextBlock" xlink:to="lab_ecd_ForgoneRecoveryExplanationOfImpracticabilityTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityInteractiveDataCurrent_019cafa6-12dd-75ed-a85e-ef92c89795a7_terseLabel_en-US" xlink:label="lab_dei_EntityInteractiveDataCurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Interactive Data Current</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityInteractiveDataCurrent" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityInteractiveDataCurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityInteractiveDataCurrent" xlink:to="lab_dei_EntityInteractiveDataCurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentOwnedAtCost_019cafa6-136c-74a4-9c7b-23b1fb61281b_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedAtCost" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Amortized cost</link:label>
    <link:label id="lab_us-gaap_InvestmentOwnedAtCost_019cafa6-136c-78d5-94fa-7e79c3562ad0_verboseLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedAtCost" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Amortized Cost</link:label>
    <link:label id="lab_us-gaap_InvestmentOwnedAtCost_label_en-US" xlink:label="lab_us-gaap_InvestmentOwnedAtCost" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Owned, Cost</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentOwnedAtCost" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentOwnedAtCost"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentOwnedAtCost" xlink:to="lab_us-gaap_InvestmentOwnedAtCost" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ThreeMonthsBBSYMember_019cafa6-12dd-751a-bc91-2e799c8f442c_terseLabel_en-US" xlink:label="lab_obdc_ThreeMonthsBBSYMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subject to 3 month BBSY</link:label>
    <link:label id="lab_obdc_ThreeMonthsBBSYMember_label_en-US" xlink:label="lab_obdc_ThreeMonthsBBSYMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Three Months BBSY [Member]</link:label>
    <link:label id="lab_obdc_ThreeMonthsBBSYMember_documentation_en-US" xlink:label="lab_obdc_ThreeMonthsBBSYMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Three Months BBSY</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ThreeMonthsBBSYMember" xlink:href="obdc-20260331.xsd#obdc_ThreeMonthsBBSYMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ThreeMonthsBBSYMember" xlink:to="lab_obdc_ThreeMonthsBBSYMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_LongTermDebtMaturityYearOneToThree_019cafa6-13e3-7024-9317-7b2216901339_terseLabel_en-US" xlink:label="lab_obdc_LongTermDebtMaturityYearOneToThree" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">1-3 years</link:label>
    <link:label id="lab_obdc_LongTermDebtMaturityYearOneToThree_label_en-US" xlink:label="lab_obdc_LongTermDebtMaturityYearOneToThree" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Long Term Debt Maturity Year One To Three</link:label>
    <link:label id="lab_obdc_LongTermDebtMaturityYearOneToThree_documentation_en-US" xlink:label="lab_obdc_LongTermDebtMaturityYearOneToThree" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Long Term Debt Maturity Year One To Three</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_LongTermDebtMaturityYearOneToThree" xlink:href="obdc-20260331.xsd#obdc_LongTermDebtMaturityYearOneToThree"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_LongTermDebtMaturityYearOneToThree" xlink:to="lab_obdc_LongTermDebtMaturityYearOneToThree" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DeutscheBankAGMember_019dafda-7f09-7577-95e4-2b13006b5b59_terseLabel_en-US" xlink:label="lab_obdc_DeutscheBankAGMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deutsche Bank AG</link:label>
    <link:label id="lab_obdc_DeutscheBankAGMember_label_en-US" xlink:label="lab_obdc_DeutscheBankAGMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deutsche Bank AG [Member]</link:label>
    <link:label id="lab_obdc_DeutscheBankAGMember_documentation_en-US" xlink:label="lab_obdc_DeutscheBankAGMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Deutsche Bank AG</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DeutscheBankAGMember" xlink:href="obdc-20260331.xsd#obdc_DeutscheBankAGMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DeutscheBankAGMember" xlink:to="lab_obdc_DeutscheBankAGMember" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_OwnershipDomain_019cafa6-13e2-77c1-beb3-65c6accaca80_terseLabel_en-US" xlink:label="lab_srt_OwnershipDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Ownership [Domain]</link:label>
    <link:label id="lab_srt_OwnershipDomain_label_en-US" xlink:label="lab_srt_OwnershipDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Ownership [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_OwnershipDomain" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_OwnershipDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_OwnershipDomain" xlink:to="lab_srt_OwnershipDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_NumberOfInvestmentPlatforms_019cafa6-136c-7e1a-ae31-0fc2a6e3d967_terseLabel_en-US" xlink:label="lab_obdc_NumberOfInvestmentPlatforms" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of investment platforms</link:label>
    <link:label id="lab_obdc_NumberOfInvestmentPlatforms_label_en-US" xlink:label="lab_obdc_NumberOfInvestmentPlatforms" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of Investment Platforms</link:label>
    <link:label id="lab_obdc_NumberOfInvestmentPlatforms_documentation_en-US" xlink:label="lab_obdc_NumberOfInvestmentPlatforms" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number of Investment Platforms</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_NumberOfInvestmentPlatforms" xlink:href="obdc-20260331.xsd#obdc_NumberOfInvestmentPlatforms"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_NumberOfInvestmentPlatforms" xlink:to="lab_obdc_NumberOfInvestmentPlatforms" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NetAssetValuePerShare_019cafa6-136c-7edf-b15d-27d50752653e_terseLabel_en-US" xlink:label="lab_us-gaap_NetAssetValuePerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Asset Value Per Share (in usd per share)</link:label>
    <link:label id="lab_us-gaap_NetAssetValuePerShare_019cafa6-136c-7bf6-9fdc-c3fb088a7c66_periodStartLabel_en-US" xlink:label="lab_us-gaap_NetAssetValuePerShare" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Net asset value, beginning of period (in usd per share)</link:label>
    <link:label id="lab_us-gaap_NetAssetValuePerShare_019cafa6-136c-78a0-aa32-54e475df1053_periodEndLabel_en-US" xlink:label="lab_us-gaap_NetAssetValuePerShare" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Net asset value, end of period (in usd per share)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetAssetValuePerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetAssetValuePerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetAssetValuePerShare" xlink:to="lab_us-gaap_NetAssetValuePerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityCentralIndexKey_019cafa6-12dd-72ec-8e22-5b9c8ae478e4_terseLabel_en-US" xlink:label="lab_dei_EntityCentralIndexKey" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Central Index Key</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityCentralIndexKey"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityCentralIndexKey" xlink:to="lab_dei_EntityCentralIndexKey" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_UnrealizedGainLossOnDerivativesAndHedgedItems_019cafa6-136c-78cf-a020-9eb7b40c2bcb_negatedTerseLabel_en-US" xlink:label="lab_obdc_UnrealizedGainLossOnDerivativesAndHedgedItems" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Net change in unrealized gain (loss) on effective interest rate swaps and hedged items included in interest expense</link:label>
    <link:label id="lab_obdc_UnrealizedGainLossOnDerivativesAndHedgedItems_label_en-US" xlink:label="lab_obdc_UnrealizedGainLossOnDerivativesAndHedgedItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unrealized Gain (Loss) On Derivatives And Hedged Items</link:label>
    <link:label id="lab_obdc_UnrealizedGainLossOnDerivativesAndHedgedItems_documentation_en-US" xlink:label="lab_obdc_UnrealizedGainLossOnDerivativesAndHedgedItems" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Unrealized Gain (Loss) On Derivatives And Hedged Items</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_UnrealizedGainLossOnDerivativesAndHedgedItems" xlink:href="obdc-20260331.xsd#obdc_UnrealizedGainLossOnDerivativesAndHedgedItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_UnrealizedGainLossOnDerivativesAndHedgedItems" xlink:to="lab_obdc_UnrealizedGainLossOnDerivativesAndHedgedItems" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_PeoName_terseLabel_en-US" xlink:label="lab_ecd_PeoName" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">PEO Name</link:label>
    <link:label id="lab_ecd_PeoName_label_en-US" xlink:label="lab_ecd_PeoName" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">PEO Name</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PeoName" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_PeoName"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PeoName" xlink:to="lab_ecd_PeoName" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfMaturitiesOfLongTermDebtTableTextBlock_019cafa6-13e3-763f-bf02-8fc3665dc782_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfMaturitiesOfLongTermDebtTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Maturities of Long-Term Debt</link:label>
    <link:label id="lab_us-gaap_ScheduleOfMaturitiesOfLongTermDebtTableTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfMaturitiesOfLongTermDebtTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Maturities of Long-Term Debt [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfMaturitiesOfLongTermDebtTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfMaturitiesOfLongTermDebtTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfMaturitiesOfLongTermDebtTableTextBlock" xlink:to="lab_us-gaap_ScheduleOfMaturitiesOfLongTermDebtTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_FrValAsOfPrrYrEndOfEqtyAwrdsGrntdInPrrYrsFldVstngCondsDrngCvrdYrMember_terseLabel_en-US" xlink:label="lab_ecd_FrValAsOfPrrYrEndOfEqtyAwrdsGrntdInPrrYrsFldVstngCondsDrngCvrdYrMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Prior Year End Fair Value of Equity Awards Granted in Any Prior Year that Fail to Meet Applicable Vesting Conditions During Covered Year</link:label>
    <link:label id="lab_ecd_FrValAsOfPrrYrEndOfEqtyAwrdsGrntdInPrrYrsFldVstngCondsDrngCvrdYrMember_label_en-US" xlink:label="lab_ecd_FrValAsOfPrrYrEndOfEqtyAwrdsGrntdInPrrYrsFldVstngCondsDrngCvrdYrMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Prior Year End Fair Value of Equity Awards Granted in Any Prior Year that Fail to Meet Applicable Vesting Conditions During Covered Year [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_FrValAsOfPrrYrEndOfEqtyAwrdsGrntdInPrrYrsFldVstngCondsDrngCvrdYrMember" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_FrValAsOfPrrYrEndOfEqtyAwrdsGrntdInPrrYrsFldVstngCondsDrngCvrdYrMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_FrValAsOfPrrYrEndOfEqtyAwrdsGrntdInPrrYrsFldVstngCondsDrngCvrdYrMember" xlink:to="lab_ecd_FrValAsOfPrrYrEndOfEqtyAwrdsGrntdInPrrYrsFldVstngCondsDrngCvrdYrMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_OutstandingAggtErrCompAmt_terseLabel_en-US" xlink:label="lab_ecd_OutstandingAggtErrCompAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Outstanding Aggregate Erroneous Compensation Amount</link:label>
    <link:label id="lab_ecd_OutstandingAggtErrCompAmt_label_en-US" xlink:label="lab_ecd_OutstandingAggtErrCompAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Outstanding Aggregate Erroneous Compensation Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_OutstandingAggtErrCompAmt" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_OutstandingAggtErrCompAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_OutstandingAggtErrCompAmt" xlink:to="lab_ecd_OutstandingAggtErrCompAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MidwestRegionMember_019cafa6-12dd-724d-9559-1e049662dc2f_terseLabel_en-US" xlink:label="lab_us-gaap_MidwestRegionMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Midwest</link:label>
    <link:label id="lab_us-gaap_MidwestRegionMember_label_en-US" xlink:label="lab_us-gaap_MidwestRegionMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">US Midwest Region [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MidwestRegionMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MidwestRegionMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MidwestRegionMember" xlink:to="lab_us-gaap_MidwestRegionMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock_019cafa6-136c-75ca-81be-21c6825f9f63_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of the Fair Value and Notional Value of the Derivative Assets and Liabilities</link:label>
    <link:label id="lab_us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Derivative Instruments in Statement of Financial Position, Fair Value [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock" xlink:to="lab_us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_019cafa6-136c-7905-a6a5-ebc5569c43ba_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">(Increase) decrease in prepaid expenses and other assets</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Prepaid Expense and Other Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets" xlink:to="lab_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AwardExrcPrice_terseLabel_en-US" xlink:label="lab_ecd_AwardExrcPrice" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Exercise Price</link:label>
    <link:label id="lab_ecd_AwardExrcPrice_label_en-US" xlink:label="lab_ecd_AwardExrcPrice" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Exercise Price</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardExrcPrice" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AwardExrcPrice"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardExrcPrice" xlink:to="lab_ecd_AwardExrcPrice" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InterestRateSwap2030NotesMember_019cafa6-13e3-7726-b6e2-e43727d162c7_terseLabel_en-US" xlink:label="lab_obdc_InterestRateSwap2030NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest Rate Swap 2030 Notes</link:label>
    <link:label id="lab_obdc_InterestRateSwap2030NotesMember_label_en-US" xlink:label="lab_obdc_InterestRateSwap2030NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Rate Swap, 2030 Notes [Member]</link:label>
    <link:label id="lab_obdc_InterestRateSwap2030NotesMember_documentation_en-US" xlink:label="lab_obdc_InterestRateSwap2030NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest Rate Swap, 2030 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InterestRateSwap2030NotesMember" xlink:href="obdc-20260331.xsd#obdc_InterestRateSwap2030NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InterestRateSwap2030NotesMember" xlink:to="lab_obdc_InterestRateSwap2030NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityFilerCategory_019cafa6-136c-7ceb-b06a-29bac010135f_terseLabel_en-US" xlink:label="lab_dei_EntityFilerCategory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Filer Category</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFilerCategory" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityFilerCategory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityFilerCategory" xlink:to="lab_dei_EntityFilerCategory" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DividendIncomeOperating_019cafa6-136c-70cd-876e-643b1ba9351b_terseLabel_en-US" xlink:label="lab_us-gaap_DividendIncomeOperating" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dividend income</link:label>
    <link:label id="lab_us-gaap_DividendIncomeOperating_label_en-US" xlink:label="lab_us-gaap_DividendIncomeOperating" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividend Income, Operating</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendIncomeOperating" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DividendIncomeOperating"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendIncomeOperating" xlink:to="lab_us-gaap_DividendIncomeOperating" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsequentEventTypeAxis_019cafa6-12dd-7d66-923b-56a9b6a0fbef_terseLabel_en-US" xlink:label="lab_us-gaap_SubsequentEventTypeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subsequent Event Type [Axis]</link:label>
    <link:label id="lab_us-gaap_SubsequentEventTypeAxis_label_en-US" xlink:label="lab_us-gaap_SubsequentEventTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsequent Event Type [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsequentEventTypeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventTypeAxis" xlink:to="lab_us-gaap_SubsequentEventTypeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_NetChangeInUnrealizedGainLossOnForeignCurrencyForwardContracts_019cafa6-136c-71a4-b654-3b0e1efd70c3_negatedTerseLabel_en-US" xlink:label="lab_obdc_NetChangeInUnrealizedGainLossOnForeignCurrencyForwardContracts" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Net change in unrealized (gain) loss on foreign currency forward contracts</link:label>
    <link:label id="lab_obdc_NetChangeInUnrealizedGainLossOnForeignCurrencyForwardContracts_label_en-US" xlink:label="lab_obdc_NetChangeInUnrealizedGainLossOnForeignCurrencyForwardContracts" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Change in Unrealized Gain (Loss) on Foreign Currency Forward Contracts</link:label>
    <link:label id="lab_obdc_NetChangeInUnrealizedGainLossOnForeignCurrencyForwardContracts_documentation_en-US" xlink:label="lab_obdc_NetChangeInUnrealizedGainLossOnForeignCurrencyForwardContracts" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Net Change in Unrealized Gain (Loss) on Foreign Currency Forward Contracts</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_NetChangeInUnrealizedGainLossOnForeignCurrencyForwardContracts" xlink:href="obdc-20260331.xsd#obdc_NetChangeInUnrealizedGainLossOnForeignCurrencyForwardContracts"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_NetChangeInUnrealizedGainLossOnForeignCurrencyForwardContracts" xlink:to="lab_obdc_NetChangeInUnrealizedGainLossOnForeignCurrencyForwardContracts" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ScheduleOfInterestAndDividendIncomeRecognitionTableTextBlock_019cafa6-12dd-7e96-9d97-e361539833eb_terseLabel_en-US" xlink:label="lab_obdc_ScheduleOfInterestAndDividendIncomeRecognitionTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Interest And Dividend Income Recognition</link:label>
    <link:label id="lab_obdc_ScheduleOfInterestAndDividendIncomeRecognitionTableTextBlock_label_en-US" xlink:label="lab_obdc_ScheduleOfInterestAndDividendIncomeRecognitionTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Interest and Dividend Income Recognition [Table Text Block]</link:label>
    <link:label id="lab_obdc_ScheduleOfInterestAndDividendIncomeRecognitionTableTextBlock_documentation_en-US" xlink:label="lab_obdc_ScheduleOfInterestAndDividendIncomeRecognitionTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule of Interest and Dividend Income Recognition</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ScheduleOfInterestAndDividendIncomeRecognitionTableTextBlock" xlink:href="obdc-20260331.xsd#obdc_ScheduleOfInterestAndDividendIncomeRecognitionTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ScheduleOfInterestAndDividendIncomeRecognitionTableTextBlock" xlink:to="lab_obdc_ScheduleOfInterestAndDividendIncomeRecognitionTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InfrastructureAndEnvironmentalServicesMember_019cafa6-13e3-7ab5-a1b8-424cca8f9b2f_terseLabel_en-US" xlink:label="lab_obdc_InfrastructureAndEnvironmentalServicesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Infrastructure and environmental services</link:label>
    <link:label id="lab_obdc_InfrastructureAndEnvironmentalServicesMember_label_en-US" xlink:label="lab_obdc_InfrastructureAndEnvironmentalServicesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Infrastructure And Environmental Services [Member]</link:label>
    <link:label id="lab_obdc_InfrastructureAndEnvironmentalServicesMember_documentation_en-US" xlink:label="lab_obdc_InfrastructureAndEnvironmentalServicesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Infrastructure And Environmental Services</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InfrastructureAndEnvironmentalServicesMember" xlink:href="obdc-20260331.xsd#obdc_InfrastructureAndEnvironmentalServicesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InfrastructureAndEnvironmentalServicesMember" xlink:to="lab_obdc_InfrastructureAndEnvironmentalServicesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_VstngDtFrValOfEqtyAwrdsGrntdAndVstdInCvrdYrMember_terseLabel_en-US" xlink:label="lab_ecd_VstngDtFrValOfEqtyAwrdsGrntdAndVstdInCvrdYrMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Vesting Date Fair Value of Equity Awards Granted and Vested in Covered Year</link:label>
    <link:label id="lab_ecd_VstngDtFrValOfEqtyAwrdsGrntdAndVstdInCvrdYrMember_label_en-US" xlink:label="lab_ecd_VstngDtFrValOfEqtyAwrdsGrntdAndVstdInCvrdYrMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Vesting Date Fair Value of Equity Awards Granted and Vested in Covered Year [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_VstngDtFrValOfEqtyAwrdsGrntdAndVstdInCvrdYrMember" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_VstngDtFrValOfEqtyAwrdsGrntdAndVstdInCvrdYrMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_VstngDtFrValOfEqtyAwrdsGrntdAndVstdInCvrdYrMember" xlink:to="lab_ecd_VstngDtFrValOfEqtyAwrdsGrntdAndVstdInCvrdYrMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIClassB2NotesMember_019cafa6-136c-7cdf-b4e4-b09ac2ab05a6_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassB2NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class B-2 Notes</link:label>
    <link:label id="lab_obdc_CLOVIIClassB2NotesMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassB2NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class B-2 Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassB2NotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassB2NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class B-2 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassB2NotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOVIIClassB2NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassB2NotesMember" xlink:to="lab_obdc_CLOVIIClassB2NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ORCCFinancingIIILLCMember_019cafa6-13e2-7908-a0b5-5dec3ec1cc04_terseLabel_en-US" xlink:label="lab_obdc_ORCCFinancingIIILLCMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">ORCC Financing III, LLC</link:label>
    <link:label id="lab_obdc_ORCCFinancingIIILLCMember_label_en-US" xlink:label="lab_obdc_ORCCFinancingIIILLCMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">ORCC Financing III, LLC [Member]</link:label>
    <link:label id="lab_obdc_ORCCFinancingIIILLCMember_documentation_en-US" xlink:label="lab_obdc_ORCCFinancingIIILLCMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">ORCC Financing III, LLC</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ORCCFinancingIIILLCMember" xlink:href="obdc-20260331.xsd#obdc_ORCCFinancingIIILLCMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ORCCFinancingIIILLCMember" xlink:to="lab_obdc_ORCCFinancingIIILLCMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityAddressAddressLine1_019cafa6-12dd-7296-9dab-13d89068badc_terseLabel_en-US" xlink:label="lab_dei_EntityAddressAddressLine1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Address, Address Line One</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressAddressLine1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityAddressAddressLine1" xlink:to="lab_dei_EntityAddressAddressLine1" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities_019cafa6-12dd-7e03-83db-5e813c0d6174_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Increase (decrease) in accrued expenses and other liabilities</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Accrued Liabilities and Other Operating Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities" xlink:to="lab_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeThresholdMember_019cafa6-13e3-71e9-945a-011c957261db_terseLabel_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeThresholdMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement - Incentive Rate, Pre-Incentive Fee Net Investment Income Threshold</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeThresholdMember_label_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeThresholdMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement - Incentive Rate, Pre-Incentive Fee Net Investment Income Threshold [Member]</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeThresholdMember_documentation_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeThresholdMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement - Incentive Rate, Pre-Incentive Fee Net Investment Income Threshold</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeThresholdMember" xlink:href="obdc-20260331.xsd#obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeThresholdMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeThresholdMember" xlink:to="lab_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeThresholdMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SPVAssetFacilityVMember_019cafa6-12dd-7787-93c0-2e4f29569e21_terseLabel_en-US" xlink:label="lab_obdc_SPVAssetFacilityVMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">SPV Asset Facility V</link:label>
    <link:label id="lab_obdc_SPVAssetFacilityVMember_label_en-US" xlink:label="lab_obdc_SPVAssetFacilityVMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">SPV Asset Facility V [Member]</link:label>
    <link:label id="lab_obdc_SPVAssetFacilityVMember_documentation_en-US" xlink:label="lab_obdc_SPVAssetFacilityVMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">SPV Asset Facility V</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SPVAssetFacilityVMember" xlink:href="obdc-20260331.xsd#obdc_SPVAssetFacilityVMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SPVAssetFacilityVMember" xlink:to="lab_obdc_SPVAssetFacilityVMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedAppreciation_019cafa6-136c-7360-b831-88832f48513c_terseLabel_en-US" xlink:label="lab_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedAppreciation" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unrealized gain for U.S. federal income tax purposes</link:label>
    <link:label id="lab_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedAppreciation_label_en-US" xlink:label="lab_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedAppreciation" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Tax Basis, Unrealized Gain</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TaxBasisOfInvestmentsGrossUnrealizedAppreciation" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TaxBasisOfInvestmentsGrossUnrealizedAppreciation"/>
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    <link:label id="lab_us-gaap_InvestmentTypeCategorizationMember_019cafa6-136c-7501-bedd-ab38880f53b6_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentTypeCategorizationMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments [Domain]</link:label>
    <link:label id="lab_us-gaap_InvestmentTypeCategorizationMember_label_en-US" xlink:label="lab_us-gaap_InvestmentTypeCategorizationMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investments [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentTypeCategorizationMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentTypeCategorizationMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentTypeCategorizationMember" xlink:to="lab_us-gaap_InvestmentTypeCategorizationMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Asset Acquisition, Transaction between Entities under Common Control, and Joint Venture Formation [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationAndAssetAcquisitionAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract" xlink:to="lab_us-gaap_BusinessCombinationAndAssetAcquisitionAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_OwnershipAxis_019cafa6-12dd-762c-8564-9702e7f92807_terseLabel_en-US" xlink:label="lab_srt_OwnershipAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Ownership [Axis]</link:label>
    <link:label id="lab_srt_OwnershipAxis_label_en-US" xlink:label="lab_srt_OwnershipAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Ownership [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_OwnershipAxis" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_OwnershipAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_OwnershipAxis" xlink:to="lab_srt_OwnershipAxis" xlink:type="arc" order="1"/>
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    <link:label id="lab_us-gaap_ManagementAndServiceFeesBaseRate_label_en-US" xlink:label="lab_us-gaap_ManagementAndServiceFeesBaseRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Management and Service Fees, Base Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ManagementAndServiceFeesBaseRate" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ManagementAndServiceFeesBaseRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ManagementAndServiceFeesBaseRate" xlink:to="lab_us-gaap_ManagementAndServiceFeesBaseRate" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXClassANotesMember_019cafa6-13e2-7e95-8991-cb7cdfa98d04_terseLabel_en-US" xlink:label="lab_obdc_CLOXClassANotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO X, Class A Notes</link:label>
    <link:label id="lab_obdc_CLOXClassANotesMember_label_en-US" xlink:label="lab_obdc_CLOXClassANotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO X, Class A Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOXClassANotesMember_documentation_en-US" xlink:label="lab_obdc_CLOXClassANotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO X, Class A Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXClassANotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOXClassANotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXClassANotesMember" xlink:to="lab_obdc_CLOXClassANotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock_019cafa6-136c-7ad9-a48e-02128aac9328_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Instruments</link:label>
    <link:label id="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock_label_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Instruments and Hedging Activities Disclosure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xlink:to="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EquitySecuritiesByIndustryAxis_019cafa6-136c-73ee-b5c4-320d58a3d868_terseLabel_en-US" xlink:label="lab_us-gaap_EquitySecuritiesByIndustryAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Industry Sector [Axis]</link:label>
    <link:label id="lab_us-gaap_EquitySecuritiesByIndustryAxis_label_en-US" xlink:label="lab_us-gaap_EquitySecuritiesByIndustryAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Industry Sector [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquitySecuritiesByIndustryAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquitySecuritiesByIndustryAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquitySecuritiesByIndustryAxis" xlink:to="lab_us-gaap_EquitySecuritiesByIndustryAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_LeisureAndEntertainmentMember_019cafa6-12dd-75b3-a489-e55e1eef3b3d_terseLabel_en-US" xlink:label="lab_obdc_LeisureAndEntertainmentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Leisure and entertainment</link:label>
    <link:label id="lab_obdc_LeisureAndEntertainmentMember_label_en-US" xlink:label="lab_obdc_LeisureAndEntertainmentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Leisure And Entertainment [Member]</link:label>
    <link:label id="lab_obdc_LeisureAndEntertainmentMember_documentation_en-US" xlink:label="lab_obdc_LeisureAndEntertainmentMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Leisure And Entertainment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_LeisureAndEntertainmentMember" xlink:href="obdc-20260331.xsd#obdc_LeisureAndEntertainmentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_LeisureAndEntertainmentMember" xlink:to="lab_obdc_LeisureAndEntertainmentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AwardGrantDateFairValue_terseLabel_en-US" xlink:label="lab_ecd_AwardGrantDateFairValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value as of Grant Date</link:label>
    <link:label id="lab_ecd_AwardGrantDateFairValue_label_en-US" xlink:label="lab_ecd_AwardGrantDateFairValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Grant Date Fair Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardGrantDateFairValue" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AwardGrantDateFairValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardGrantDateFairValue" xlink:to="lab_ecd_AwardGrantDateFairValue" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CommonStockCapitalSharesReservedForFutureIssuanceValue_019cafa6-136c-74f9-aa2c-5f7863af82d1_terseLabel_en-US" xlink:label="lab_obdc_CommonStockCapitalSharesReservedForFutureIssuanceValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Sale of stock, value of shares available for issuance</link:label>
    <link:label id="lab_obdc_CommonStockCapitalSharesReservedForFutureIssuanceValue_label_en-US" xlink:label="lab_obdc_CommonStockCapitalSharesReservedForFutureIssuanceValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Common Stock, Capital Shares Reserved For Future Issuance, Value</link:label>
    <link:label id="lab_obdc_CommonStockCapitalSharesReservedForFutureIssuanceValue_documentation_en-US" xlink:label="lab_obdc_CommonStockCapitalSharesReservedForFutureIssuanceValue" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Common Stock, Capital Shares Reserved For Future Issuance, Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CommonStockCapitalSharesReservedForFutureIssuanceValue" xlink:href="obdc-20260331.xsd#obdc_CommonStockCapitalSharesReservedForFutureIssuanceValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CommonStockCapitalSharesReservedForFutureIssuanceValue" xlink:to="lab_obdc_CommonStockCapitalSharesReservedForFutureIssuanceValue" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueInputsLevel12And3Member_019cafa6-136c-7736-a66c-f80562cd3908_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel12And3Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Levels 1, Level 2, and Level 3</link:label>
    <link:label id="lab_us-gaap_FairValueInputsLevel12And3Member_label_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel12And3Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Inputs, Level 1, Level 2, and Level 3 [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel12And3Member" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueInputsLevel12And3Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueInputsLevel12And3Member" xlink:to="lab_us-gaap_FairValueInputsLevel12And3Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfDebtInstrumentsTextBlock_019cafa6-13e2-7276-a4f5-cda91b20a022_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfDebtInstrumentsTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Debt Obligations</link:label>
    <link:label id="lab_us-gaap_ScheduleOfDebtInstrumentsTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfDebtInstrumentsTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Long-Term Debt Instruments [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfDebtInstrumentsTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfDebtInstrumentsTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfDebtInstrumentsTextBlock" xlink:to="lab_us-gaap_ScheduleOfDebtInstrumentsTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresTable_019cafa6-136c-7068-8c3f-dd482580d571_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Instruments and Hedging Activities Disclosures [Table]</link:label>
    <link:label id="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresTable_label_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Instruments and Hedging Activities Disclosures [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresTable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresTable"/>
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    <link:label id="lab_obdc_CLOVIIClassAL1AndAL2LoansMember_019cafa6-12dd-77b2-aa12-36f47be2b325_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassAL1AndAL2LoansMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L1 and A-L2 Loans</link:label>
    <link:label id="lab_obdc_CLOVIIClassAL1AndAL2LoansMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassAL1AndAL2LoansMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L1 and A-L2 Loans [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassAL1AndAL2LoansMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassAL1AndAL2LoansMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L1 and A-L2 Loans</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassAL1AndAL2LoansMember" xlink:href="obdc-20260331.xsd#obdc_CLOVIIClassAL1AndAL2LoansMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassAL1AndAL2LoansMember" xlink:to="lab_obdc_CLOVIIClassAL1AndAL2LoansMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ORCCFinancingIILLCMember_019cafa6-12dd-7683-9929-d5ff26656ba3_terseLabel_en-US" xlink:label="lab_obdc_ORCCFinancingIILLCMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">ORCC Financing II, LLC</link:label>
    <link:label id="lab_obdc_ORCCFinancingIILLCMember_label_en-US" xlink:label="lab_obdc_ORCCFinancingIILLCMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">ORCC Financing II, LLC [Member]</link:label>
    <link:label id="lab_obdc_ORCCFinancingIILLCMember_documentation_en-US" xlink:label="lab_obdc_ORCCFinancingIILLCMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">ORCC Financing II, LLC</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ORCCFinancingIILLCMember" xlink:href="obdc-20260331.xsd#obdc_ORCCFinancingIILLCMember"/>
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    <link:label id="lab_obdc_TerminationPeriodTwoMember_019cafa6-136c-70b0-a35b-d8aa27ffd01b_terseLabel_en-US" xlink:label="lab_obdc_TerminationPeriodTwoMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">August 26, 2026</link:label>
    <link:label id="lab_obdc_TerminationPeriodTwoMember_label_en-US" xlink:label="lab_obdc_TerminationPeriodTwoMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Termination Period Two [Member]</link:label>
    <link:label id="lab_obdc_TerminationPeriodTwoMember_documentation_en-US" xlink:label="lab_obdc_TerminationPeriodTwoMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Termination Period Two</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_TerminationPeriodTwoMember" xlink:href="obdc-20260331.xsd#obdc_TerminationPeriodTwoMember"/>
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    <link:label id="lab_us-gaap_RelatedPartyTransactionLineItems_019cafa6-136c-761b-a5cd-e6adafbde580_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Line Items]</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionLineItems_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyTransactionLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionLineItems" xlink:to="lab_us-gaap_RelatedPartyTransactionLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentQuarterlyReport_019cafa6-136c-7a9c-88ad-0438ba13dba3_terseLabel_en-US" xlink:label="lab_dei_DocumentQuarterlyReport" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Document Quarterly Report</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentQuarterlyReport" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentQuarterlyReport"/>
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    <link:label id="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossReductions_019cafa6-136c-7249-8fb1-6f5676dabaa2_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossReductions" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Gross Reductions</link:label>
    <link:label id="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossReductions_label_en-US" xlink:label="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossReductions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investments in and Advances to Affiliates, at Fair Value, Gross Reductions</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossReductions" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossReductions"/>
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    <link:label id="lab_us-gaap_LongTermDebtFairValue_019cafa6-12dd-7430-9855-5c274531752e_terseLabel_en-US" xlink:label="lab_us-gaap_LongTermDebtFairValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Carrying Value</link:label>
    <link:label id="lab_us-gaap_LongTermDebtFairValue_label_en-US" xlink:label="lab_us-gaap_LongTermDebtFairValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Long-Term Debt, Fair Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LongTermDebtFairValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongTermDebtFairValue" xlink:to="lab_us-gaap_LongTermDebtFairValue" xlink:type="arc" order="1"/>
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    <link:loc xlink:type="locator" xlink:label="loc_ecd_ChangedPeerGroupFnTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_ChangedPeerGroupFnTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_ChangedPeerGroupFnTextBlock" xlink:to="lab_ecd_ChangedPeerGroupFnTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_RepurchaseAgreementCounterpartyNameDomain_019cafa6-136c-7f41-81aa-aeec368d797b_terseLabel_en-US" xlink:label="lab_srt_RepurchaseAgreementCounterpartyNameDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Counterparty Name [Domain]</link:label>
    <link:label id="lab_srt_RepurchaseAgreementCounterpartyNameDomain_label_en-US" xlink:label="lab_srt_RepurchaseAgreementCounterpartyNameDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Counterparty Name [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RepurchaseAgreementCounterpartyNameDomain" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_RepurchaseAgreementCounterpartyNameDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_RepurchaseAgreementCounterpartyNameDomain" xlink:to="lab_srt_RepurchaseAgreementCounterpartyNameDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtSecuritiesSecondLienMember_019cafa6-136c-77a2-80c4-40a935384cee_terseLabel_en-US" xlink:label="lab_obdc_DebtSecuritiesSecondLienMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Second-lien senior secured debt investments</link:label>
    <link:label id="lab_obdc_DebtSecuritiesSecondLienMember_label_en-US" xlink:label="lab_obdc_DebtSecuritiesSecondLienMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Securities, Second Lien [Member]</link:label>
    <link:label id="lab_obdc_DebtSecuritiesSecondLienMember_documentation_en-US" xlink:label="lab_obdc_DebtSecuritiesSecondLienMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Securities, Second Lien</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtSecuritiesSecondLienMember" xlink:href="obdc-20260331.xsd#obdc_DebtSecuritiesSecondLienMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtSecuritiesSecondLienMember" xlink:to="lab_obdc_DebtSecuritiesSecondLienMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AdjToPeoCompFnTextBlock_terseLabel_en-US" xlink:label="lab_ecd_AdjToPeoCompFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Adjustment To PEO Compensation, Footnote</link:label>
    <link:label id="lab_ecd_AdjToPeoCompFnTextBlock_label_en-US" xlink:label="lab_ecd_AdjToPeoCompFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustment To PEO Compensation, Footnote [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AdjToPeoCompFnTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AdjToPeoCompFnTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AdjToPeoCompFnTextBlock" xlink:to="lab_ecd_AdjToPeoCompFnTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentTypeAxis_019cafa6-136c-7603-92f7-23473db4629d_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentTypeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Type [Axis]</link:label>
    <link:label id="lab_us-gaap_InvestmentTypeAxis_label_en-US" xlink:label="lab_us-gaap_InvestmentTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Type [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentTypeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentTypeAxis" xlink:to="lab_us-gaap_InvestmentTypeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_TrdArrIndTitle_terseLabel_en-US" xlink:label="lab_ecd_TrdArrIndTitle" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Title</link:label>
    <link:label id="lab_ecd_TrdArrIndTitle_label_en-US" xlink:label="lab_ecd_TrdArrIndTitle" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trading Arrangement, Individual Title</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TrdArrIndTitle" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_TrdArrIndTitle"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TrdArrIndTitle" xlink:to="lab_ecd_TrdArrIndTitle" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_PeerGroupTotalShareholderRtnAmt_terseLabel_en-US" xlink:label="lab_ecd_PeerGroupTotalShareholderRtnAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Peer Group Total Shareholder Return Amount</link:label>
    <link:label id="lab_ecd_PeerGroupTotalShareholderRtnAmt_label_en-US" xlink:label="lab_ecd_PeerGroupTotalShareholderRtnAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Peer Group Total Shareholder Return Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PeerGroupTotalShareholderRtnAmt" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_PeerGroupTotalShareholderRtnAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PeerGroupTotalShareholderRtnAmt" xlink:to="lab_ecd_PeerGroupTotalShareholderRtnAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_MeasurementInputNetRecoveryMember_019de15f-583d-7879-a19e-6c1d06d66fe1_terseLabel_en-US" xlink:label="lab_obdc_MeasurementInputNetRecoveryMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Recovery</link:label>
    <link:label id="lab_obdc_MeasurementInputNetRecoveryMember_label_en-US" xlink:label="lab_obdc_MeasurementInputNetRecoveryMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, Net Recovery [Member]</link:label>
    <link:label id="lab_obdc_MeasurementInputNetRecoveryMember_documentation_en-US" xlink:label="lab_obdc_MeasurementInputNetRecoveryMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement Input, Net Recovery</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_MeasurementInputNetRecoveryMember" xlink:href="obdc-20260331.xsd#obdc_MeasurementInputNetRecoveryMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_MeasurementInputNetRecoveryMember" xlink:to="lab_obdc_MeasurementInputNetRecoveryMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PrepaidExpenseAndOtherAssets_019cafa6-12dd-76f8-8c1e-2ef362ee6e80_verboseLabel_en-US" xlink:label="lab_us-gaap_PrepaidExpenseAndOtherAssets" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Prepaid expenses and other assets</link:label>
    <link:label id="lab_us-gaap_PrepaidExpenseAndOtherAssets_label_en-US" xlink:label="lab_us-gaap_PrepaidExpenseAndOtherAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Prepaid Expense and Other Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidExpenseAndOtherAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PrepaidExpenseAndOtherAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PrepaidExpenseAndOtherAssets" xlink:to="lab_us-gaap_PrepaidExpenseAndOtherAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_NonPeoNeoMember_terseLabel_en-US" xlink:label="lab_ecd_NonPeoNeoMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-PEO NEO</link:label>
    <link:label id="lab_ecd_NonPeoNeoMember_label_en-US" xlink:label="lab_ecd_NonPeoNeoMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-PEO NEO [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_NonPeoNeoMember" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_NonPeoNeoMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_NonPeoNeoMember" xlink:to="lab_ecd_NonPeoNeoMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentThresholdDomain_019cafa6-13e3-7cc9-bd1f-b7f11c397e75_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentThresholdDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Instrument Threshold [Domain]</link:label>
    <link:label id="lab_obdc_DebtInstrumentThresholdDomain_label_en-US" xlink:label="lab_obdc_DebtInstrumentThresholdDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument Threshold [Domain]</link:label>
    <link:label id="lab_obdc_DebtInstrumentThresholdDomain_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentThresholdDomain" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument Threshold</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentThresholdDomain" xlink:href="obdc-20260331.xsd#obdc_DebtInstrumentThresholdDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentThresholdDomain" xlink:to="lab_obdc_DebtInstrumentThresholdDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LettersOfCreditOutstandingAmount_019cafa6-136c-7bfb-9736-52923db158d2_terseLabel_en-US" xlink:label="lab_us-gaap_LettersOfCreditOutstandingAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Outstanding letters of credit</link:label>
    <link:label id="lab_us-gaap_LettersOfCreditOutstandingAmount_label_en-US" xlink:label="lab_us-gaap_LettersOfCreditOutstandingAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Letters of Credit Outstanding, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LettersOfCreditOutstandingAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LettersOfCreditOutstandingAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LettersOfCreditOutstandingAmount" xlink:to="lab_us-gaap_LettersOfCreditOutstandingAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable_019cafa6-136c-72c2-bd35-0bbc4e1054c5_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Business Combination, Pro Forma Information [Table]</link:label>
    <link:label id="lab_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable_label_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Pro Forma Information [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable" xlink:to="lab_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentsTable" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_JulyTwoThousandTwentySevenNotesMember_019cafa6-136c-7f82-9b9c-281629b6f3fd_terseLabel_en-US" xlink:label="lab_obdc_JulyTwoThousandTwentySevenNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">July 2027 Notes</link:label>
    <link:label id="lab_obdc_JulyTwoThousandTwentySevenNotesMember_label_en-US" xlink:label="lab_obdc_JulyTwoThousandTwentySevenNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">July Two Thousand Twenty Seven Notes [Member]</link:label>
    <link:label id="lab_obdc_JulyTwoThousandTwentySevenNotesMember_documentation_en-US" xlink:label="lab_obdc_JulyTwoThousandTwentySevenNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">July Two Thousand Twenty Seven Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_JulyTwoThousandTwentySevenNotesMember" xlink:href="obdc-20260331.xsd#obdc_JulyTwoThousandTwentySevenNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_JulyTwoThousandTwentySevenNotesMember" xlink:to="lab_obdc_JulyTwoThousandTwentySevenNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsidiarySaleOfStockAxis_019cafa6-12dd-77ac-9e77-24d567fd3363_terseLabel_en-US" xlink:label="lab_us-gaap_SubsidiarySaleOfStockAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Sale of Stock [Axis]</link:label>
    <link:label id="lab_us-gaap_SubsidiarySaleOfStockAxis_label_en-US" xlink:label="lab_us-gaap_SubsidiarySaleOfStockAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Sale of Stock [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsidiarySaleOfStockAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsidiarySaleOfStockAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsidiarySaleOfStockAxis" xlink:to="lab_us-gaap_SubsidiarySaleOfStockAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_terseLabel_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">All Award Types</link:label>
    <link:label id="lab_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain_label_en-US" xlink:label="lab_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Type [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain" xlink:to="lab_us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_MeasurementInputRecoveryRateMember_019cafa6-13e3-7a73-99ee-fa61e01ea140_terseLabel_en-US" xlink:label="lab_obdc_MeasurementInputRecoveryRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Recovery Rate</link:label>
    <link:label id="lab_obdc_MeasurementInputRecoveryRateMember_label_en-US" xlink:label="lab_obdc_MeasurementInputRecoveryRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, Recovery Rate [Member]</link:label>
    <link:label id="lab_obdc_MeasurementInputRecoveryRateMember_documentation_en-US" xlink:label="lab_obdc_MeasurementInputRecoveryRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement Input, Recovery Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_MeasurementInputRecoveryRateMember" xlink:href="obdc-20260331.xsd#obdc_MeasurementInputRecoveryRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_MeasurementInputRecoveryRateMember" xlink:to="lab_obdc_MeasurementInputRecoveryRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_EqtyAwrdsAdjsMember_terseLabel_en-US" xlink:label="lab_ecd_EqtyAwrdsAdjsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Awards Adjustments</link:label>
    <link:label id="lab_ecd_EqtyAwrdsAdjsMember_label_en-US" xlink:label="lab_ecd_EqtyAwrdsAdjsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Awards Adjustments [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_EqtyAwrdsAdjsMember" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_EqtyAwrdsAdjsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_EqtyAwrdsAdjsMember" xlink:to="lab_ecd_EqtyAwrdsAdjsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CommitmentToAmerginAssetCoMember_019cafa6-136c-7e1e-b502-094c24363902_terseLabel_en-US" xlink:label="lab_obdc_CommitmentToAmerginAssetCoMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Commitment To Amergin AssetCo</link:label>
    <link:label id="lab_obdc_CommitmentToAmerginAssetCoMember_label_en-US" xlink:label="lab_obdc_CommitmentToAmerginAssetCoMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Commitment To Amergin AssetCo [Member]</link:label>
    <link:label id="lab_obdc_CommitmentToAmerginAssetCoMember_documentation_en-US" xlink:label="lab_obdc_CommitmentToAmerginAssetCoMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Commitment To Amergin AssetCo</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CommitmentToAmerginAssetCoMember" xlink:href="obdc-20260331.xsd#obdc_CommitmentToAmerginAssetCoMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CommitmentToAmerginAssetCoMember" xlink:to="lab_obdc_CommitmentToAmerginAssetCoMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_PnsnBnftsAdjFnTextBlock_terseLabel_en-US" xlink:label="lab_ecd_PnsnBnftsAdjFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Pension Benefits Adjustments, Footnote</link:label>
    <link:label id="lab_ecd_PnsnBnftsAdjFnTextBlock_label_en-US" xlink:label="lab_ecd_PnsnBnftsAdjFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Pension Benefits Adjustments, Footnote [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PnsnBnftsAdjFnTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_PnsnBnftsAdjFnTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PnsnBnftsAdjFnTextBlock" xlink:to="lab_ecd_PnsnBnftsAdjFnTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherIncome_019cafa6-136c-703c-b728-4946e56098c0_verboseLabel_en-US" xlink:label="lab_us-gaap_OtherIncome" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Other income</link:label>
    <link:label id="lab_us-gaap_OtherIncome_label_en-US" xlink:label="lab_us-gaap_OtherIncome" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Income</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherIncome" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherIncome"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherIncome" xlink:to="lab_us-gaap_OtherIncome" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_OutstandingRecoveryCompAmt_terseLabel_en-US" xlink:label="lab_ecd_OutstandingRecoveryCompAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Compensation Amount</link:label>
    <link:label id="lab_ecd_OutstandingRecoveryCompAmt_label_en-US" xlink:label="lab_ecd_OutstandingRecoveryCompAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Outstanding Recovery Compensation Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_OutstandingRecoveryCompAmt" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_OutstandingRecoveryCompAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_OutstandingRecoveryCompAmt" xlink:to="lab_ecd_OutstandingRecoveryCompAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentNameDomain_019cafa6-136c-74d6-a9c2-3c62b8c7228a_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentNameDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Instrument, Name [Domain]</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentNameDomain_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentNameDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Name [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentNameDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentNameDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentNameDomain" xlink:to="lab_us-gaap_DebtInstrumentNameDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ForeignExchangeContractMember_019cafa6-13e2-7089-a278-7ffb4e9bb9ec_terseLabel_en-US" xlink:label="lab_us-gaap_ForeignExchangeContractMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign currency forward contracts</link:label>
    <link:label id="lab_us-gaap_ForeignExchangeContractMember_label_en-US" xlink:label="lab_us-gaap_ForeignExchangeContractMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Exchange Contract [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ForeignExchangeContractMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ForeignExchangeContractMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ForeignExchangeContractMember" xlink:to="lab_us-gaap_ForeignExchangeContractMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_RecoveryOfErrCompDisclosureLineItems_label_en-US" xlink:label="lab_ecd_RecoveryOfErrCompDisclosureLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Recovery of Erroneously Awarded Compensation Disclosure [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_RecoveryOfErrCompDisclosureLineItems" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_RecoveryOfErrCompDisclosureLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_RecoveryOfErrCompDisclosureLineItems" xlink:to="lab_ecd_RecoveryOfErrCompDisclosureLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EstimateOfFairValueFairValueDisclosureMember_019cafa6-13e2-7c9f-9aab-0c8b32d47749_terseLabel_en-US" xlink:label="lab_us-gaap_EstimateOfFairValueFairValueDisclosureMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value</link:label>
    <link:label id="lab_us-gaap_EstimateOfFairValueFairValueDisclosureMember_label_en-US" xlink:label="lab_us-gaap_EstimateOfFairValueFairValueDisclosureMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Estimate of Fair Value Measurement [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EstimateOfFairValueFairValueDisclosureMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EstimateOfFairValueFairValueDisclosureMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EstimateOfFairValueFairValueDisclosureMember" xlink:to="lab_us-gaap_EstimateOfFairValueFairValueDisclosureMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfInvestmentsLineItems_019cafa6-13e2-716d-9146-80902d330377_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfInvestmentsLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Investments [Line Items]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfInvestmentsLineItems_label_en-US" xlink:label="lab_us-gaap_ScheduleOfInvestmentsLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Investments [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfInvestmentsLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfInvestmentsLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfInvestmentsLineItems" xlink:to="lab_us-gaap_ScheduleOfInvestmentsLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_MnpiDiscTimedForCompValFlag_terseLabel_en-US" xlink:label="lab_ecd_MnpiDiscTimedForCompValFlag" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">MNPI Disclosure Timed for Compensation Value</link:label>
    <link:label id="lab_ecd_MnpiDiscTimedForCompValFlag_label_en-US" xlink:label="lab_ecd_MnpiDiscTimedForCompValFlag" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">MNPI Disclosure Timed for Compensation Value [Flag]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_MnpiDiscTimedForCompValFlag" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_MnpiDiscTimedForCompValFlag"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_MnpiDiscTimedForCompValFlag" xlink:to="lab_ecd_MnpiDiscTimedForCompValFlag" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInvestmentsSpecialtyFinanceMember_019cafa6-12dd-7164-80d4-3fc172172930_terseLabel_en-US" xlink:label="lab_obdc_DebtInvestmentsSpecialtyFinanceMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Specialty Finance Debt Investments</link:label>
    <link:label id="lab_obdc_DebtInvestmentsSpecialtyFinanceMember_label_en-US" xlink:label="lab_obdc_DebtInvestmentsSpecialtyFinanceMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Investments Specialty Finance [Member]</link:label>
    <link:label id="lab_obdc_DebtInvestmentsSpecialtyFinanceMember_documentation_en-US" xlink:label="lab_obdc_DebtInvestmentsSpecialtyFinanceMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Investments Specialty Finance</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInvestmentsSpecialtyFinanceMember" xlink:href="obdc-20260331.xsd#obdc_DebtInvestmentsSpecialtyFinanceMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInvestmentsSpecialtyFinanceMember" xlink:to="lab_obdc_DebtInvestmentsSpecialtyFinanceMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_Series2022ANotesMember_019cafa6-136c-7d41-b435-63edb179220c_terseLabel_en-US" xlink:label="lab_obdc_Series2022ANotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Series 2022A Notes</link:label>
    <link:label id="lab_obdc_Series2022ANotesMember_label_en-US" xlink:label="lab_obdc_Series2022ANotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Series 2022A Notes [Member]</link:label>
    <link:label id="lab_obdc_Series2022ANotesMember_documentation_en-US" xlink:label="lab_obdc_Series2022ANotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Series 2022A Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_Series2022ANotesMember" xlink:href="obdc-20260331.xsd#obdc_Series2022ANotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_Series2022ANotesMember" xlink:to="lab_obdc_Series2022ANotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths_019cafa6-13e3-77d0-96e9-b4db72aced85_terseLabel_en-US" xlink:label="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Less than 1 year</link:label>
    <link:label id="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths_label_en-US" xlink:label="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Long-Term Debt, Maturity, Year One</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths" xlink:to="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain_019cafa6-136c-7f39-9f86-240fab593bce_terseLabel_en-US" xlink:label="lab_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial Instruments [Domain]</link:label>
    <link:label id="lab_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain_label_en-US" xlink:label="lab_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Financial Instruments [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" xlink:to="lab_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIssuerMember_019cafa6-136c-702d-8576-4655b51bf609_terseLabel_en-US" xlink:label="lab_obdc_CLOIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I Issuer</link:label>
    <link:label id="lab_obdc_CLOIIssuerMember_label_en-US" xlink:label="lab_obdc_CLOIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I Issuer [Member]</link:label>
    <link:label id="lab_obdc_CLOIIssuerMember_documentation_en-US" xlink:label="lab_obdc_CLOIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I Issuer</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIssuerMember" xlink:href="obdc-20260331.xsd#obdc_CLOIIssuerMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIssuerMember" xlink:to="lab_obdc_CLOIIssuerMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyHurdleRateMember_019cafa6-12dd-70f8-aabc-1b96511525ea_terseLabel_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyHurdleRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Management Agreement - Incentive Rate, Quarterly Hurdle Rate</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyHurdleRateMember_label_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyHurdleRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement - Incentive Rate, Quarterly Hurdle Rate [Member]</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyHurdleRateMember_documentation_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyHurdleRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement - Incentive Rate, Quarterly Hurdle Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyHurdleRateMember" xlink:href="obdc-20260331.xsd#obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyHurdleRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyHurdleRateMember" xlink:to="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyHurdleRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases_019cafa6-13e2-7d28-9e47-8ff5cf86ca9c_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Purchases of investments, net</link:label>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases_label_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Purchases</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" xlink:to="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationWeightedAverageSpreadPercentage_019cafa6-13e3-7d3f-8bef-41ca24f76b92_terseLabel_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationWeightedAverageSpreadPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Weighted average spread percentage</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationWeightedAverageSpreadPercentage_label_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationWeightedAverageSpreadPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Weighted Average Spread Percentage</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationWeightedAverageSpreadPercentage_documentation_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationWeightedAverageSpreadPercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Weighted Average Spread Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DisposalGroupIncludingDiscontinuedOperationWeightedAverageSpreadPercentage" xlink:href="obdc-20260331.xsd#obdc_DisposalGroupIncludingDiscontinuedOperationWeightedAverageSpreadPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DisposalGroupIncludingDiscontinuedOperationWeightedAverageSpreadPercentage" xlink:to="lab_obdc_DisposalGroupIncludingDiscontinuedOperationWeightedAverageSpreadPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AggtPnsnAdjsSvcCstMember_terseLabel_en-US" xlink:label="lab_ecd_AggtPnsnAdjsSvcCstMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregate Pension Adjustments Service Cost</link:label>
    <link:label id="lab_ecd_AggtPnsnAdjsSvcCstMember_label_en-US" xlink:label="lab_ecd_AggtPnsnAdjsSvcCstMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Aggregate Pension Adjustments Service Cost [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AggtPnsnAdjsSvcCstMember" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AggtPnsnAdjsSvcCstMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AggtPnsnAdjsSvcCstMember" xlink:to="lab_ecd_AggtPnsnAdjsSvcCstMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_EquityInvestmentsSpecialtyFinanceMember_019cafa6-13e3-7ef8-a8fb-680882556787_terseLabel_en-US" xlink:label="lab_obdc_EquityInvestmentsSpecialtyFinanceMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Specialty finance</link:label>
    <link:label id="lab_obdc_EquityInvestmentsSpecialtyFinanceMember_label_en-US" xlink:label="lab_obdc_EquityInvestmentsSpecialtyFinanceMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Investments Specialty Finance [Member]</link:label>
    <link:label id="lab_obdc_EquityInvestmentsSpecialtyFinanceMember_documentation_en-US" xlink:label="lab_obdc_EquityInvestmentsSpecialtyFinanceMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Equity Investments Specialty Finance</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_EquityInvestmentsSpecialtyFinanceMember" xlink:href="obdc-20260331.xsd#obdc_EquityInvestmentsSpecialtyFinanceMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_EquityInvestmentsSpecialtyFinanceMember" xlink:to="lab_obdc_EquityInvestmentsSpecialtyFinanceMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryLineItems_019cafa6-13e2-7a7b-9d5b-c41598c03ea8_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Investment Income [Line Items]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryLineItems_label_en-US" xlink:label="lab_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Investment Income [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryLineItems" xlink:to="lab_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIIClassBNotesMember_019cafa6-12dd-7832-91ee-2cb2293d1b98_terseLabel_en-US" xlink:label="lab_obdc_CLOIIIClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO III, Class B Notes</link:label>
    <link:label id="lab_obdc_CLOIIIClassBNotesMember_label_en-US" xlink:label="lab_obdc_CLOIIIClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO III, Class B Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIIIClassBNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIIIClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO III, Class B Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIIClassBNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOIIIClassBNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIIClassBNotesMember" xlink:to="lab_obdc_CLOIIIClassBNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentPercentageOfPrincipalAmountRepaid_019cafa6-136c-7dd6-a7cd-e95d66eed79f_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentPercentageOfPrincipalAmountRepaid" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage of principal amount repaid</link:label>
    <link:label id="lab_obdc_DebtInstrumentPercentageOfPrincipalAmountRepaid_label_en-US" xlink:label="lab_obdc_DebtInstrumentPercentageOfPrincipalAmountRepaid" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Percentage Of Principal Amount Repaid</link:label>
    <link:label id="lab_obdc_DebtInstrumentPercentageOfPrincipalAmountRepaid_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentPercentageOfPrincipalAmountRepaid" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Percentage Of Principal Amount Repaid</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentPercentageOfPrincipalAmountRepaid" xlink:href="obdc-20260331.xsd#obdc_DebtInstrumentPercentageOfPrincipalAmountRepaid"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentPercentageOfPrincipalAmountRepaid" xlink:to="lab_obdc_DebtInstrumentPercentageOfPrincipalAmountRepaid" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_MinimumMember_019cafa6-136c-71ab-b7e7-5a73fd26b223_terseLabel_en-US" xlink:label="lab_srt_MinimumMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Minimum</link:label>
    <link:label id="lab_srt_MinimumMember_label_en-US" xlink:label="lab_srt_MinimumMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Minimum [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_MinimumMember" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_MinimumMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_MinimumMember" xlink:to="lab_srt_MinimumMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_CoSelectedMeasureName_terseLabel_en-US" xlink:label="lab_ecd_CoSelectedMeasureName" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Company Selected Measure Name</link:label>
    <link:label id="lab_ecd_CoSelectedMeasureName_label_en-US" xlink:label="lab_ecd_CoSelectedMeasureName" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Company Selected Measure Name</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_CoSelectedMeasureName" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_CoSelectedMeasureName"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_CoSelectedMeasureName" xlink:to="lab_ecd_CoSelectedMeasureName" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueDisclosureItemAmountsDomain_019cafa6-136c-7231-b41e-c98811c8fe40_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueDisclosureItemAmountsDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value Measurement [Domain]</link:label>
    <link:label id="lab_us-gaap_FairValueDisclosureItemAmountsDomain_label_en-US" xlink:label="lab_us-gaap_FairValueDisclosureItemAmountsDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Measurement [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosureItemAmountsDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueDisclosureItemAmountsDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueDisclosureItemAmountsDomain" xlink:to="lab_us-gaap_FairValueDisclosureItemAmountsDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_MeasurementInputMarketYieldMember_019cafa6-136c-7d52-954a-5b109b8c2fcd_terseLabel_en-US" xlink:label="lab_obdc_MeasurementInputMarketYieldMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Market Yield</link:label>
    <link:label id="lab_obdc_MeasurementInputMarketYieldMember_label_en-US" xlink:label="lab_obdc_MeasurementInputMarketYieldMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, Market Yield [Member]</link:label>
    <link:label id="lab_obdc_MeasurementInputMarketYieldMember_documentation_en-US" xlink:label="lab_obdc_MeasurementInputMarketYieldMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement Input, Market Yield</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_MeasurementInputMarketYieldMember" xlink:href="obdc-20260331.xsd#obdc_MeasurementInputMarketYieldMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_MeasurementInputMarketYieldMember" xlink:to="lab_obdc_MeasurementInputMarketYieldMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtDisclosureTextBlock_019cafa6-12dd-7669-a82d-901626b7d4d9_terseLabel_en-US" xlink:label="lab_us-gaap_DebtDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt</link:label>
    <link:label id="lab_us-gaap_DebtDisclosureTextBlock_label_en-US" xlink:label="lab_us-gaap_DebtDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Disclosure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtDisclosureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtDisclosureTextBlock" xlink:to="lab_us-gaap_DebtDisclosureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_TrdArrSecuritiesAggAvailAmt_terseLabel_en-US" xlink:label="lab_ecd_TrdArrSecuritiesAggAvailAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregate Available</link:label>
    <link:label id="lab_ecd_TrdArrSecuritiesAggAvailAmt_label_en-US" xlink:label="lab_ecd_TrdArrSecuritiesAggAvailAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trading Arrangement, Securities Aggregate Available Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TrdArrSecuritiesAggAvailAmt" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_TrdArrSecuritiesAggAvailAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TrdArrSecuritiesAggAvailAmt" xlink:to="lab_ecd_TrdArrSecuritiesAggAvailAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyPortfolioTurnover_019cafa6-12dd-7373-909c-e03cb0fe90c6_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyPortfolioTurnover" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Portfolio turnover rate</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyPortfolioTurnover_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyPortfolioTurnover" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Portfolio Turnover</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyPortfolioTurnover" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyPortfolioTurnover"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyPortfolioTurnover" xlink:to="lab_us-gaap_InvestmentCompanyPortfolioTurnover" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockAppreciationRightsSARSMember_terseLabel_en-US" xlink:label="lab_us-gaap_StockAppreciationRightsSARSMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Stock Appreciation Rights (SARs)</link:label>
    <link:label id="lab_us-gaap_StockAppreciationRightsSARSMember_label_en-US" xlink:label="lab_us-gaap_StockAppreciationRightsSARSMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Appreciation Rights (SARs) [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockAppreciationRightsSARSMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockAppreciationRightsSARSMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockAppreciationRightsSARSMember" xlink:to="lab_us-gaap_StockAppreciationRightsSARSMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DividendsPayableCurrentAndNoncurrent_019cafa6-12dd-7dfa-ba68-2444217cc0d1_terseLabel_en-US" xlink:label="lab_us-gaap_DividendsPayableCurrentAndNoncurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distributions payable</link:label>
    <link:label id="lab_us-gaap_DividendsPayableCurrentAndNoncurrent_label_en-US" xlink:label="lab_us-gaap_DividendsPayableCurrentAndNoncurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividends Payable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendsPayableCurrentAndNoncurrent" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DividendsPayableCurrentAndNoncurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendsPayableCurrentAndNoncurrent" xlink:to="lab_us-gaap_DividendsPayableCurrentAndNoncurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CashHeldInForeignCurrencyAcquisitionCost_019cafa6-136c-722f-91e6-b1113006ac7c_terseLabel_en-US" xlink:label="lab_us-gaap_CashHeldInForeignCurrencyAcquisitionCost" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign cash, cost</link:label>
    <link:label id="lab_us-gaap_CashHeldInForeignCurrencyAcquisitionCost_label_en-US" xlink:label="lab_us-gaap_CashHeldInForeignCurrencyAcquisitionCost" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash and Cash Equivalent, Held in Foreign Currency, Acquisition Cost</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashHeldInForeignCurrencyAcquisitionCost" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashHeldInForeignCurrencyAcquisitionCost"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashHeldInForeignCurrencyAcquisitionCost" xlink:to="lab_us-gaap_CashHeldInForeignCurrencyAcquisitionCost" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractGBPMember_019cafa6-136c-7bb3-b42d-91d033bd927b_terseLabel_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractGBPMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign currency forward contract GBP</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractGBPMember_label_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractGBPMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract GBP [Member]</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractGBPMember_documentation_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractGBPMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract GBP</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ForeignCurrencyForwardContractGBPMember" xlink:href="obdc-20260331.xsd#obdc_ForeignCurrencyForwardContractGBPMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ForeignCurrencyForwardContractGBPMember" xlink:to="lab_obdc_ForeignCurrencyForwardContractGBPMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_019cafa6-12dd-71f1-b580-28c34082ab3e_terseLabel_en-US" xlink:label="lab_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Commitments and Contingencies</link:label>
    <link:label id="lab_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_label_en-US" xlink:label="lab_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Commitments and Contingencies Disclosure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommitmentsAndContingenciesDisclosureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock" xlink:to="lab_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_019cafa6-12dd-7c09-9a54-122e41994841_verboseLabel_en-US" xlink:label="lab_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Weighted Average Shares Outstanding - Diluted (in shares)</link:label>
    <link:label id="lab_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_019cafa6-12dd-7645-bfcc-8cb613c64705_terseLabel_en-US" xlink:label="lab_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Weighted average shares of common stock outstanding&#8212;diluted (in shares)</link:label>
    <link:label id="lab_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_label_en-US" xlink:label="lab_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Weighted Average Number of Shares Outstanding, Diluted</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding" xlink:to="lab_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SegmentReportingPolicyPolicyTextBlock_019cafa6-13e2-75ff-89f1-547d227c927a_terseLabel_en-US" xlink:label="lab_us-gaap_SegmentReportingPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Segment Reporting</link:label>
    <link:label id="lab_us-gaap_SegmentReportingPolicyPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_SegmentReportingPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Segment Reporting, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SegmentReportingPolicyPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SegmentReportingPolicyPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SegmentReportingPolicyPolicyTextBlock" xlink:to="lab_us-gaap_SegmentReportingPolicyPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ProfessionalServicesMember_019cafa6-12dd-7bf0-b6a5-3e53572d0125_terseLabel_en-US" xlink:label="lab_obdc_ProfessionalServicesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Professional services</link:label>
    <link:label id="lab_obdc_ProfessionalServicesMember_label_en-US" xlink:label="lab_obdc_ProfessionalServicesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Professional Services [Member]</link:label>
    <link:label id="lab_obdc_ProfessionalServicesMember_documentation_en-US" xlink:label="lab_obdc_ProfessionalServicesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Professional Services</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ProfessionalServicesMember" xlink:href="obdc-20260331.xsd#obdc_ProfessionalServicesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ProfessionalServicesMember" xlink:to="lab_obdc_ProfessionalServicesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FinancialSupportToNonconsolidatedLegalEntityAxis_019cafa6-136c-7abe-98e0-073e26a21544_terseLabel_en-US" xlink:label="lab_us-gaap_FinancialSupportToNonconsolidatedLegalEntityAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial Support to Nonconsolidated Legal Entity [Axis]</link:label>
    <link:label id="lab_us-gaap_FinancialSupportToNonconsolidatedLegalEntityAxis_label_en-US" xlink:label="lab_us-gaap_FinancialSupportToNonconsolidatedLegalEntityAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Financial Support to Nonconsolidated Legal Entity [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancialSupportToNonconsolidatedLegalEntityAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinancialSupportToNonconsolidatedLegalEntityAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FinancialSupportToNonconsolidatedLegalEntityAxis" xlink:to="lab_us-gaap_FinancialSupportToNonconsolidatedLegalEntityAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_NonGaapMeasureDescriptionTextBlock_terseLabel_en-US" xlink:label="lab_ecd_NonGaapMeasureDescriptionTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-GAAP Measure Description</link:label>
    <link:label id="lab_ecd_NonGaapMeasureDescriptionTextBlock_label_en-US" xlink:label="lab_ecd_NonGaapMeasureDescriptionTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-GAAP Measure Description [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_NonGaapMeasureDescriptionTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_NonGaapMeasureDescriptionTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_NonGaapMeasureDescriptionTextBlock" xlink:to="lab_ecd_NonGaapMeasureDescriptionTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeTable_019cafa6-136c-7ada-b77f-e0159030457f_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative [Table]</link:label>
    <link:label id="lab_us-gaap_DerivativeTable_label_en-US" xlink:label="lab_us-gaap_DerivativeTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeTable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeTable" xlink:to="lab_us-gaap_DerivativeTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanySeniorSecurityIndebtednessAssetCoverageRatio_019cafa6-136c-730b-864f-4ed242251da8_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanySeniorSecurityIndebtednessAssetCoverageRatio" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Asset coverage ratio</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanySeniorSecurityIndebtednessAssetCoverageRatio_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanySeniorSecurityIndebtednessAssetCoverageRatio" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Senior Security, Indebtedness, Asset Coverage Ratio</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanySeniorSecurityIndebtednessAssetCoverageRatio" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanySeniorSecurityIndebtednessAssetCoverageRatio"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanySeniorSecurityIndebtednessAssetCoverageRatio" xlink:to="lab_us-gaap_InvestmentCompanySeniorSecurityIndebtednessAssetCoverageRatio" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntitySmallBusiness_019cafa6-136c-7590-aa8d-c0dabbd3cfc3_terseLabel_en-US" xlink:label="lab_dei_EntitySmallBusiness" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Small Business</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntitySmallBusiness" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntitySmallBusiness"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntitySmallBusiness" xlink:to="lab_dei_EntitySmallBusiness" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PaymentsOfStockIssuanceCosts_019cafa6-136c-739a-b9a6-7d33cdd89405_terseLabel_en-US" xlink:label="lab_us-gaap_PaymentsOfStockIssuanceCosts" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Underwriting Fees/Offering Expenses</link:label>
    <link:label id="lab_us-gaap_PaymentsOfStockIssuanceCosts_label_en-US" xlink:label="lab_us-gaap_PaymentsOfStockIssuanceCosts" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payments of Stock Issuance Costs</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfStockIssuanceCosts" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsOfStockIssuanceCosts"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsOfStockIssuanceCosts" xlink:to="lab_us-gaap_PaymentsOfStockIssuanceCosts" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtVariableRateComponentOneGreaterThanOrEqualProductMember_019cafa6-13e2-7bcb-b90d-ecebfb8e432f_terseLabel_en-US" xlink:label="lab_obdc_DebtVariableRateComponentOneGreaterThanOrEqualProductMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component One, Greater Than Or Equal Product</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentOneGreaterThanOrEqualProductMember_label_en-US" xlink:label="lab_obdc_DebtVariableRateComponentOneGreaterThanOrEqualProductMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component One, Greater Than Or Equal Product [Member]</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentOneGreaterThanOrEqualProductMember_documentation_en-US" xlink:label="lab_obdc_DebtVariableRateComponentOneGreaterThanOrEqualProductMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component One, Greater Than Or Equal Product</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtVariableRateComponentOneGreaterThanOrEqualProductMember" xlink:href="obdc-20260331.xsd#obdc_DebtVariableRateComponentOneGreaterThanOrEqualProductMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtVariableRateComponentOneGreaterThanOrEqualProductMember" xlink:to="lab_obdc_DebtVariableRateComponentOneGreaterThanOrEqualProductMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeTaxDisclosureAbstract_label_en-US" xlink:label="lab_us-gaap_IncomeTaxDisclosureAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Income Tax Disclosure [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxDisclosureAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxDisclosureAbstract" xlink:to="lab_us-gaap_IncomeTaxDisclosureAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SeniorSecuredRevolvingCreditFacilityExtendingCommitmentsMember_019cafa6-136c-7a5e-8ad4-6ba7ee698dff_terseLabel_en-US" xlink:label="lab_obdc_SeniorSecuredRevolvingCreditFacilityExtendingCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Extending Commitments</link:label>
    <link:label id="lab_obdc_SeniorSecuredRevolvingCreditFacilityExtendingCommitmentsMember_label_en-US" xlink:label="lab_obdc_SeniorSecuredRevolvingCreditFacilityExtendingCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Senior Secured Revolving Credit Facility, Extending Commitments [Member]</link:label>
    <link:label id="lab_obdc_SeniorSecuredRevolvingCreditFacilityExtendingCommitmentsMember_documentation_en-US" xlink:label="lab_obdc_SeniorSecuredRevolvingCreditFacilityExtendingCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Senior Secured Revolving Credit Facility, Extending Commitments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SeniorSecuredRevolvingCreditFacilityExtendingCommitmentsMember" xlink:href="obdc-20260331.xsd#obdc_SeniorSecuredRevolvingCreditFacilityExtendingCommitmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SeniorSecuredRevolvingCreditFacilityExtendingCommitmentsMember" xlink:to="lab_obdc_SeniorSecuredRevolvingCreditFacilityExtendingCommitmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PreferredStockSharesOutstanding_019cafa6-12dd-7a08-be22-9861f3a6d4e9_terseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Preferred stock, shares outstanding (in shares)</link:label>
    <link:label id="lab_us-gaap_PreferredStockSharesOutstanding_label_en-US" xlink:label="lab_us-gaap_PreferredStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Preferred Stock, Shares Outstanding</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockSharesOutstanding" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PreferredStockSharesOutstanding"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PreferredStockSharesOutstanding" xlink:to="lab_us-gaap_PreferredStockSharesOutstanding" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DistributionPayable_019cafa6-12dd-7679-8711-7caff1202ee8_verboseLabel_en-US" xlink:label="lab_us-gaap_DistributionPayable" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Distribution payable</link:label>
    <link:label id="lab_us-gaap_DistributionPayable_label_en-US" xlink:label="lab_us-gaap_DistributionPayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Distribution Payable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DistributionPayable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DistributionPayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DistributionPayable" xlink:to="lab_us-gaap_DistributionPayable" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentTransitionReport_019cafa6-13e2-7852-b790-2fa3d3601c0f_terseLabel_en-US" xlink:label="lab_dei_DocumentTransitionReport" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Document Transition Report</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentTransitionReport" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentTransitionReport"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentTransitionReport" xlink:to="lab_dei_DocumentTransitionReport" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets_019cafa6-136c-71c9-911c-88586114b355_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other assets</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Asset Acquired, Other Asset, Noncurrent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets" xlink:to="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIMember_019cafa6-13e3-75b4-b962-4c65f87db16d_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII</link:label>
    <link:label id="lab_obdc_CLOVIIMember_label_en-US" xlink:label="lab_obdc_CLOVIIMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIMember" xlink:href="obdc-20260331.xsd#obdc_CLOVIIMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIMember" xlink:to="lab_obdc_CLOVIIMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PreferredStockValueOutstanding_019cafa6-136c-7e04-8e00-5ad4f30c0cef_terseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockValueOutstanding" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Value of outstanding preferred shares</link:label>
    <link:label id="lab_us-gaap_PreferredStockValueOutstanding_label_en-US" xlink:label="lab_us-gaap_PreferredStockValueOutstanding" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Preferred Stock, Value, Outstanding</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockValueOutstanding" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PreferredStockValueOutstanding"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PreferredStockValueOutstanding" xlink:to="lab_us-gaap_PreferredStockValueOutstanding" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AwardUndrlygSecuritiesAmt_terseLabel_en-US" xlink:label="lab_ecd_AwardUndrlygSecuritiesAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Underlying Securities</link:label>
    <link:label id="lab_ecd_AwardUndrlygSecuritiesAmt_label_en-US" xlink:label="lab_ecd_AwardUndrlygSecuritiesAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Underlying Securities Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardUndrlygSecuritiesAmt" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AwardUndrlygSecuritiesAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardUndrlygSecuritiesAmt" xlink:to="lab_ecd_AwardUndrlygSecuritiesAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementPerformanceBasedIncentiveFeeMember_019cafa6-12dd-72f8-93c3-cb67be9fdfee_terseLabel_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementPerformanceBasedIncentiveFeeMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Performance Based Incentive Fee</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementPerformanceBasedIncentiveFeeMember_label_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementPerformanceBasedIncentiveFeeMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Performance Based Incentive Fee [Member]</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementPerformanceBasedIncentiveFeeMember_documentation_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementPerformanceBasedIncentiveFeeMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Performance Based Incentive Fee</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentAdvisoryAgreementPerformanceBasedIncentiveFeeMember" xlink:href="obdc-20260331.xsd#obdc_InvestmentAdvisoryAgreementPerformanceBasedIncentiveFeeMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentAdvisoryAgreementPerformanceBasedIncentiveFeeMember" xlink:to="lab_obdc_InvestmentAdvisoryAgreementPerformanceBasedIncentiveFeeMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RestrictedInvestmentsAtFairValue_019cafa6-13e3-7543-9112-955c97e53a90_terseLabel_en-US" xlink:label="lab_us-gaap_RestrictedInvestmentsAtFairValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Restricted investments, fair value</link:label>
    <link:label id="lab_us-gaap_RestrictedInvestmentsAtFairValue_label_en-US" xlink:label="lab_us-gaap_RestrictedInvestmentsAtFairValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Restricted Investments, at Fair Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedInvestmentsAtFairValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RestrictedInvestmentsAtFairValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RestrictedInvestmentsAtFairValue" xlink:to="lab_us-gaap_RestrictedInvestmentsAtFairValue" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EquityComponentDomain_019cafa6-136c-795b-bb10-00fc5459d1fe_terseLabel_en-US" xlink:label="lab_us-gaap_EquityComponentDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Component [Domain]</link:label>
    <link:label id="lab_us-gaap_EquityComponentDomain_label_en-US" xlink:label="lab_us-gaap_EquityComponentDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Component [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityComponentDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquityComponentDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquityComponentDomain" xlink:to="lab_us-gaap_EquityComponentDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentPeriodEndDate_019cafa6-12dd-7854-a543-21b71fc7adb7_terseLabel_en-US" xlink:label="lab_dei_DocumentPeriodEndDate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Document Period End Date</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentPeriodEndDate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentPeriodEndDate" xlink:to="lab_dei_DocumentPeriodEndDate" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_September2028NotesMember_019d9ad2-cdc8-7d1c-b778-31e9356d51c6_terseLabel_en-US" xlink:label="lab_obdc_September2028NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">September 2028 Notes</link:label>
    <link:label id="lab_obdc_September2028NotesMember_label_en-US" xlink:label="lab_obdc_September2028NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">September 2028 Notes [Member]</link:label>
    <link:label id="lab_obdc_September2028NotesMember_documentation_en-US" xlink:label="lab_obdc_September2028NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">September 2028 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_September2028NotesMember" xlink:href="obdc-20260331.xsd#obdc_September2028NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_September2028NotesMember" xlink:to="lab_obdc_September2028NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeTaxDisclosureTextBlock_019cafa6-136c-74a4-b7dd-6660ab6da93f_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeTaxDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Income Taxes</link:label>
    <link:label id="lab_us-gaap_IncomeTaxDisclosureTextBlock_label_en-US" xlink:label="lab_us-gaap_IncomeTaxDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Income Tax Disclosure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxDisclosureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxDisclosureTextBlock" xlink:to="lab_us-gaap_IncomeTaxDisclosureTextBlock" xlink:type="arc" order="1"/>
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    <link:label id="lab_obdc_OneMonthSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_label_en-US" xlink:label="lab_obdc_OneMonthSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">One Month Secured Overnight Financing Rate Sofr Overnight Index Swap Rate [Member]</link:label>
    <link:label id="lab_obdc_OneMonthSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_documentation_en-US" xlink:label="lab_obdc_OneMonthSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">One Month Secured Overnight Financing Rate Sofr Overnight Index Swap Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_OneMonthSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:href="obdc-20260331.xsd#obdc_OneMonthSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_OneMonthSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:to="lab_obdc_OneMonthSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AwardsCloseToMnpiDiscTableTextBlock_terseLabel_en-US" xlink:label="lab_ecd_AwardsCloseToMnpiDiscTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Awards Close in Time to MNPI Disclosures, Table</link:label>
    <link:label id="lab_ecd_AwardsCloseToMnpiDiscTableTextBlock_label_en-US" xlink:label="lab_ecd_AwardsCloseToMnpiDiscTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Awards Close in Time to MNPI Disclosures [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardsCloseToMnpiDiscTableTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AwardsCloseToMnpiDiscTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardsCloseToMnpiDiscTableTextBlock" xlink:to="lab_ecd_AwardsCloseToMnpiDiscTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIMember_019cafa6-12dd-70d1-9646-8042e28cccf1_terseLabel_en-US" xlink:label="lab_obdc_CLOIMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I</link:label>
    <link:label id="lab_obdc_CLOIMember_label_en-US" xlink:label="lab_obdc_CLOIMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I [Member]</link:label>
    <link:label id="lab_obdc_CLOIMember_documentation_en-US" xlink:label="lab_obdc_CLOIMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIMember" xlink:href="obdc-20260331.xsd#obdc_CLOIMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIMember" xlink:to="lab_obdc_CLOIMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfInvestmentsTable_019cafa6-136c-7764-9d70-838bea5c7f22_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfInvestmentsTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Investments [Table]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfInvestmentsTable_label_en-US" xlink:label="lab_us-gaap_ScheduleOfInvestmentsTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Investments [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfInvestmentsTable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfInvestmentsTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfInvestmentsTable" xlink:to="lab_us-gaap_ScheduleOfInvestmentsTable" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIClassAFNotesMember_019cafa6-12dd-7883-8bf8-3061ab183dd6_terseLabel_en-US" xlink:label="lab_obdc_CLOIClassAFNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I, Class A-F Notes</link:label>
    <link:label id="lab_obdc_CLOIClassAFNotesMember_label_en-US" xlink:label="lab_obdc_CLOIClassAFNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I, Class A-F Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIClassAFNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIClassAFNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I, Class A-F Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIClassAFNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOIClassAFNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIClassAFNotesMember" xlink:to="lab_obdc_CLOIClassAFNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_MergerAgreementMember_019cafa6-13e2-7369-9415-2a80b9ff128a_terseLabel_en-US" xlink:label="lab_obdc_MergerAgreementMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Merger Agreement</link:label>
    <link:label id="lab_obdc_MergerAgreementMember_label_en-US" xlink:label="lab_obdc_MergerAgreementMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Merger Agreement [Member]</link:label>
    <link:label id="lab_obdc_MergerAgreementMember_documentation_en-US" xlink:label="lab_obdc_MergerAgreementMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Merger Agreement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_MergerAgreementMember" xlink:href="obdc-20260331.xsd#obdc_MergerAgreementMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_MergerAgreementMember" xlink:to="lab_obdc_MergerAgreementMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIIClassA1FNotesMember_019cafa6-136c-7641-a017-0eefcb8f219c_terseLabel_en-US" xlink:label="lab_obdc_CLOIIIClassA1FNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO III, Class A-1F Notes</link:label>
    <link:label id="lab_obdc_CLOIIIClassA1FNotesMember_label_en-US" xlink:label="lab_obdc_CLOIIIClassA1FNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO III, Class A-1F Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIIIClassA1FNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIIIClassA1FNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO III, Class A-1F Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIIClassA1FNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOIIIClassA1FNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIIClassA1FNotesMember" xlink:to="lab_obdc_CLOIIIClassA1FNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentType_019cafa6-136c-7ade-a47f-d1fdf2ec7db5_terseLabel_en-US" xlink:label="lab_dei_DocumentType" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Document Type</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentType"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentType" xlink:to="lab_dei_DocumentType" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueInputsLevel3Member_019cafa6-136c-714e-8135-f76a4963b6f8_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel3Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Level 3</link:label>
    <link:label id="lab_us-gaap_FairValueInputsLevel3Member_019cafa6-136c-7b6a-a9b7-07b7384f50cc_verboseLabel_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel3Member" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Level 3</link:label>
    <link:label id="lab_us-gaap_FairValueInputsLevel3Member_label_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel3Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Inputs, Level 3 [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel3Member" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueInputsLevel3Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueInputsLevel3Member" xlink:to="lab_us-gaap_FairValueInputsLevel3Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EarningsPerShareTextBlock_019cafa6-136c-7017-a3f9-a2cf69d702cc_terseLabel_en-US" xlink:label="lab_us-gaap_EarningsPerShareTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Earnings Per Share</link:label>
    <link:label id="lab_us-gaap_EarningsPerShareTextBlock_label_en-US" xlink:label="lab_us-gaap_EarningsPerShareTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Earnings Per Share [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EarningsPerShareTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EarningsPerShareTextBlock" xlink:to="lab_us-gaap_EarningsPerShareTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_OutstandingRecoveryIndName_terseLabel_en-US" xlink:label="lab_ecd_OutstandingRecoveryIndName" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Name</link:label>
    <link:label id="lab_ecd_OutstandingRecoveryIndName_label_en-US" xlink:label="lab_ecd_OutstandingRecoveryIndName" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Outstanding Recovery, Individual Name</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_OutstandingRecoveryIndName" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_OutstandingRecoveryIndName"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_OutstandingRecoveryIndName" xlink:to="lab_ecd_OutstandingRecoveryIndName" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AdditionalPaidInCapital_019cafa6-13e2-7d9a-9776-2e0a8c186805_terseLabel_en-US" xlink:label="lab_us-gaap_AdditionalPaidInCapital" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Additional paid-in-capital</link:label>
    <link:label id="lab_us-gaap_AdditionalPaidInCapital_label_en-US" xlink:label="lab_us-gaap_AdditionalPaidInCapital" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Additional Paid in Capital</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdditionalPaidInCapital" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AdditionalPaidInCapital"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AdditionalPaidInCapital" xlink:to="lab_us-gaap_AdditionalPaidInCapital" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BlueOwlTechnologyFinanceCorp.Member_019cafa6-136c-7264-9878-2823a00f0205_terseLabel_en-US" xlink:label="lab_obdc_BlueOwlTechnologyFinanceCorp.Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Blue Owl Technology Finance Corp.</link:label>
    <link:label id="lab_obdc_BlueOwlTechnologyFinanceCorp.Member_label_en-US" xlink:label="lab_obdc_BlueOwlTechnologyFinanceCorp.Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Blue Owl Technology Finance Corp. [Member]</link:label>
    <link:label id="lab_obdc_BlueOwlTechnologyFinanceCorp.Member_documentation_en-US" xlink:label="lab_obdc_BlueOwlTechnologyFinanceCorp.Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Blue Owl Technology Finance Corp.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BlueOwlTechnologyFinanceCorp.Member" xlink:href="obdc-20260331.xsd#obdc_BlueOwlTechnologyFinanceCorp.Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BlueOwlTechnologyFinanceCorp.Member" xlink:to="lab_obdc_BlueOwlTechnologyFinanceCorp.Member" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_HedgedItemMember_019cafa6-13e3-70d8-b991-762d15198f8f_terseLabel_en-US" xlink:label="lab_obdc_HedgedItemMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Hedged Items</link:label>
    <link:label id="lab_obdc_HedgedItemMember_label_en-US" xlink:label="lab_obdc_HedgedItemMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Hedged Item [Member]</link:label>
    <link:label id="lab_obdc_HedgedItemMember_documentation_en-US" xlink:label="lab_obdc_HedgedItemMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Hedged Item</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_HedgedItemMember" xlink:href="obdc-20260331.xsd#obdc_HedgedItemMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_HedgedItemMember" xlink:to="lab_obdc_HedgedItemMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FoodAndBeverageSectorMember_019cafa6-136c-708e-b675-183bd616c684_terseLabel_en-US" xlink:label="lab_us-gaap_FoodAndBeverageSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Food and beverage</link:label>
    <link:label id="lab_us-gaap_FoodAndBeverageSectorMember_label_en-US" xlink:label="lab_us-gaap_FoodAndBeverageSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Food and Beverage Sector [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FoodAndBeverageSectorMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FoodAndBeverageSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FoodAndBeverageSectorMember" xlink:to="lab_us-gaap_FoodAndBeverageSectorMember" xlink:type="arc" order="1"/>
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    <link:label id="lab_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryTable_label_en-US" xlink:label="lab_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Income [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryTable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfInvestmentIncomeReportedAmountsByCategoryTable"/>
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    <link:label id="lab_us-gaap_TaxBasisOfInvestmentsUnrealizedAppreciationDepreciationNet_019cafa6-12dd-7288-93ee-79f68f9b81a0_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_TaxBasisOfInvestmentsUnrealizedAppreciationDepreciationNet" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Unrealized loss for U.S. federal income tax purposes</link:label>
    <link:label id="lab_us-gaap_TaxBasisOfInvestmentsUnrealizedAppreciationDepreciationNet_label_en-US" xlink:label="lab_us-gaap_TaxBasisOfInvestmentsUnrealizedAppreciationDepreciationNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Tax Basis, Unrealized Gain (Loss)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TaxBasisOfInvestmentsUnrealizedAppreciationDepreciationNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TaxBasisOfInvestmentsUnrealizedAppreciationDepreciationNet"/>
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    <link:label id="lab_srt_RangeAxis_019cafa6-136c-7a5e-ae40-fa138611e444_terseLabel_en-US" xlink:label="lab_srt_RangeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Statistical Measurement [Axis]</link:label>
    <link:label id="lab_srt_RangeAxis_label_en-US" xlink:label="lab_srt_RangeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statistical Measurement [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeAxis" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_RangeAxis"/>
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    <link:label id="lab_obdc_TwoThousandTwentySevenNotesMember_019cafa6-136c-781d-a703-a02cba6ba3f7_verboseLabel_en-US" xlink:label="lab_obdc_TwoThousandTwentySevenNotesMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">2027 Notes</link:label>
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    <link:label id="lab_obdc_TwoThousandTwentySevenNotesMember_label_en-US" xlink:label="lab_obdc_TwoThousandTwentySevenNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Two Thousand Twenty-Seven Notes [Member]</link:label>
    <link:label id="lab_obdc_TwoThousandTwentySevenNotesMember_documentation_en-US" xlink:label="lab_obdc_TwoThousandTwentySevenNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Two Thousand Twenty-Seven Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_TwoThousandTwentySevenNotesMember" xlink:href="obdc-20260331.xsd#obdc_TwoThousandTwentySevenNotesMember"/>
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    <link:label id="lab_obdc_ValuationTechniqueYieldAnalysisMember_label_en-US" xlink:label="lab_obdc_ValuationTechniqueYieldAnalysisMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation Technique, Yield Analysis [Member]</link:label>
    <link:label id="lab_obdc_ValuationTechniqueYieldAnalysisMember_documentation_en-US" xlink:label="lab_obdc_ValuationTechniqueYieldAnalysisMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Valuation Technique, Yield Analysis</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ValuationTechniqueYieldAnalysisMember" xlink:href="obdc-20260331.xsd#obdc_ValuationTechniqueYieldAnalysisMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ValuationTechniqueYieldAnalysisMember" xlink:to="lab_obdc_ValuationTechniqueYieldAnalysisMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryDomain_019cafa6-136c-77db-afcf-c8ad7456bc5f_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Company, Nonconsolidated Subsidiary [Domain]</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryDomain_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Nonconsolidated Subsidiary [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryDomain" xlink:to="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiaryDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_StockRepurchaseProgramAuthorizedAmount1_019cafa6-136c-7130-8f43-51a157048b07_terseLabel_en-US" xlink:label="lab_srt_StockRepurchaseProgramAuthorizedAmount1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Stock repurchase program, authorized amount</link:label>
    <link:label id="lab_srt_StockRepurchaseProgramAuthorizedAmount1_label_en-US" xlink:label="lab_srt_StockRepurchaseProgramAuthorizedAmount1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share Repurchase Program, Authorized, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_StockRepurchaseProgramAuthorizedAmount1" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_StockRepurchaseProgramAuthorizedAmount1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_StockRepurchaseProgramAuthorizedAmount1" xlink:to="lab_srt_StockRepurchaseProgramAuthorizedAmount1" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage_019cafa6-136c-7c1c-b9b0-294d66d06e2d_terseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fee on unused portion of credit facility</link:label>
    <link:label id="lab_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage_label_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Unused Capacity, Commitment Fee Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage" xlink:to="lab_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_UnrealizedGainLossOnDerivativesAndCommodityContractsAbstract_019cafa6-13e3-7ab4-a882-111a6b607227_terseLabel_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossOnDerivativesAndCommodityContractsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net change in unrealized gain (loss):</link:label>
    <link:label id="lab_us-gaap_UnrealizedGainLossOnDerivativesAndCommodityContractsAbstract_label_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossOnDerivativesAndCommodityContractsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unrealized Gain (Loss) on Derivatives and Commodity Contracts [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnrealizedGainLossOnDerivativesAndCommodityContractsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_UnrealizedGainLossOnDerivativesAndCommodityContractsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnrealizedGainLossOnDerivativesAndCommodityContractsAbstract" xlink:to="lab_us-gaap_UnrealizedGainLossOnDerivativesAndCommodityContractsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeFixedInterestRate_019cafa6-12dd-7f89-b876-3e9c3f3fd029_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeFixedInterestRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fixed interest rate</link:label>
    <link:label id="lab_us-gaap_DerivativeFixedInterestRate_label_en-US" xlink:label="lab_us-gaap_DerivativeFixedInterestRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative, Fixed Interest Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeFixedInterestRate" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeFixedInterestRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeFixedInterestRate" xlink:to="lab_us-gaap_DerivativeFixedInterestRate" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PaymentForManagementFee_019cafa6-136c-733e-aa24-9fa1072cc071_terseLabel_en-US" xlink:label="lab_us-gaap_PaymentForManagementFee" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Management fee</link:label>
    <link:label id="lab_us-gaap_PaymentForManagementFee_label_en-US" xlink:label="lab_us-gaap_PaymentForManagementFee" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payment for Management Fee</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentForManagementFee" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentForManagementFee"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentForManagementFee" xlink:to="lab_us-gaap_PaymentForManagementFee" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AggtErrCompAmt_terseLabel_en-US" xlink:label="lab_ecd_AggtErrCompAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregate Erroneous Compensation Amount</link:label>
    <link:label id="lab_ecd_AggtErrCompAmt_label_en-US" xlink:label="lab_ecd_AggtErrCompAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Aggregate Erroneous Compensation Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AggtErrCompAmt" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AggtErrCompAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AggtErrCompAmt" xlink:to="lab_ecd_AggtErrCompAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_PeerGroupIssuersFnTextBlock_terseLabel_en-US" xlink:label="lab_ecd_PeerGroupIssuersFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Peer Group Issuers, Footnote</link:label>
    <link:label id="lab_ecd_PeerGroupIssuersFnTextBlock_label_en-US" xlink:label="lab_ecd_PeerGroupIssuersFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Peer Group Issuers, Footnote [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PeerGroupIssuersFnTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_PeerGroupIssuersFnTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PeerGroupIssuersFnTextBlock" xlink:to="lab_ecd_PeerGroupIssuersFnTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfPortfolioCompanies_019cafa6-13e3-77ed-b344-8350c63d0076_terseLabel_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfPortfolioCompanies" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of portfolio companies</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfPortfolioCompanies_label_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfPortfolioCompanies" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Number Of Portfolio Companies</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfPortfolioCompanies_documentation_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfPortfolioCompanies" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Number Of Portfolio Companies</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfPortfolioCompanies" xlink:href="obdc-20260331.xsd#obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfPortfolioCompanies"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfPortfolioCompanies" xlink:to="lab_obdc_DisposalGroupIncludingDiscontinuedOperationNumberOfPortfolioCompanies" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_ShareRepurchaseProgramDomain_019cafa6-136c-7c16-9302-d79ab954b3a4_terseLabel_en-US" xlink:label="lab_srt_ShareRepurchaseProgramDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share Repurchase Program [Domain]</link:label>
    <link:label id="lab_srt_ShareRepurchaseProgramDomain_label_en-US" xlink:label="lab_srt_ShareRepurchaseProgramDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share Repurchase Program [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ShareRepurchaseProgramDomain" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ShareRepurchaseProgramDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_ShareRepurchaseProgramDomain" xlink:to="lab_srt_ShareRepurchaseProgramDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIClassAL1RLoansMember_019cafa6-136c-7e63-ba9b-e8a8cca52def_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassAL1RLoansMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L1-R Loans</link:label>
    <link:label id="lab_obdc_CLOVIIClassAL1RLoansMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassAL1RLoansMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L1-R Loans [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassAL1RLoansMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassAL1RLoansMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L1-R Loans</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassAL1RLoansMember" xlink:href="obdc-20260331.xsd#obdc_CLOVIIClassAL1RLoansMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassAL1RLoansMember" xlink:to="lab_obdc_CLOVIIClassAL1RLoansMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIClassALRNotesMember_019cafa6-12dd-70ec-b4df-5aee0966a8a9_terseLabel_en-US" xlink:label="lab_obdc_CLOIIClassALRNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO II, Class A-LR Notes</link:label>
    <link:label id="lab_obdc_CLOIIClassALRNotesMember_label_en-US" xlink:label="lab_obdc_CLOIIClassALRNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO II, Class A-LR Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIIClassALRNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIIClassALRNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO II, Class A-LR Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIClassALRNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOIIClassALRNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIClassALRNotesMember" xlink:to="lab_obdc_CLOIIClassALRNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock_019cafa6-136c-79b4-8121-051f8fc0c5bd_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Net Unrealized Gains and Losses on Effective Interest Rate Swaps and Hedged</link:label>
    <link:label id="lab_us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Instruments, Gain (Loss) [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock"/>
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    <link:label id="lab_us-gaap_BusinessAcquisitionSharePrice_019cafa6-12dd-78d1-baa1-abe4f780b180_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionSharePrice" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share price (in usd per share)</link:label>
    <link:label id="lab_us-gaap_BusinessAcquisitionSharePrice_label_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionSharePrice" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Price Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionSharePrice" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessAcquisitionSharePrice"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessAcquisitionSharePrice" xlink:to="lab_us-gaap_BusinessAcquisitionSharePrice" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueInputsLevel1Member_019cafa6-12dd-7424-b83b-d4f7218a33c7_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel1Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Level 1</link:label>
    <link:label id="lab_us-gaap_FairValueInputsLevel1Member_019cafa6-12dd-768e-b1fc-29405ab1e968_verboseLabel_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel1Member" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Level 1</link:label>
    <link:label id="lab_us-gaap_FairValueInputsLevel1Member_label_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel1Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Inputs, Level 1 [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel1Member" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueInputsLevel1Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueInputsLevel1Member" xlink:to="lab_us-gaap_FairValueInputsLevel1Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable_019cafa6-136c-7de7-9813-e9c7f3f206a6_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Payables to affiliates</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable"/>
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    <link:label id="lab_us-gaap_NoninterestExpenseDirectorsFees_019cafa6-13e3-7a7c-9e09-e631bac185b9_terseLabel_en-US" xlink:label="lab_us-gaap_NoninterestExpenseDirectorsFees" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Directors' fees</link:label>
    <link:label id="lab_us-gaap_NoninterestExpenseDirectorsFees_label_en-US" xlink:label="lab_us-gaap_NoninterestExpenseDirectorsFees" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Director Fee</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NoninterestExpenseDirectorsFees" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NoninterestExpenseDirectorsFees"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NoninterestExpenseDirectorsFees" xlink:to="lab_us-gaap_NoninterestExpenseDirectorsFees" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PreferredStockRedemptionPricePerShare_019cafa6-12dd-7744-a417-48c2dea47f7d_terseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockRedemptionPricePerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Preferred stock, redemption price per share (in usd per share)</link:label>
    <link:label id="lab_us-gaap_PreferredStockRedemptionPricePerShare_label_en-US" xlink:label="lab_us-gaap_PreferredStockRedemptionPricePerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Preferred Stock, Redemption Price Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockRedemptionPricePerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PreferredStockRedemptionPricePerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PreferredStockRedemptionPricePerShare" xlink:to="lab_us-gaap_PreferredStockRedemptionPricePerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_019cafa6-12dd-793d-ac37-ccc517178c7a_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Related Party Transactions, by Related Party [Table]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_label_en-US" xlink:label="lab_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable" xlink:to="lab_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EarningsPerShareDiluted_019cafa6-13e2-7f28-89dd-107be1a73fa4_verboseLabel_en-US" xlink:label="lab_us-gaap_EarningsPerShareDiluted" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Earnings Per Share - Diluted (in usd per share)</link:label>
    <link:label id="lab_us-gaap_EarningsPerShareDiluted_019cafa6-13e2-7054-a232-2aaa704ffcef_terseLabel_en-US" xlink:label="lab_us-gaap_EarningsPerShareDiluted" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Earnings per common share- diluted (in usd per share)</link:label>
    <link:label id="lab_us-gaap_EarningsPerShareDiluted_label_en-US" xlink:label="lab_us-gaap_EarningsPerShareDiluted" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Earnings Per Share, Diluted</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareDiluted" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EarningsPerShareDiluted"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EarningsPerShareDiluted" xlink:to="lab_us-gaap_EarningsPerShareDiluted" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_RoyalBankOfCanadaMember_019dafeb-e91d-7a47-bcbc-3829c4bfc758_terseLabel_en-US" xlink:label="lab_obdc_RoyalBankOfCanadaMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Royal Bank of Canada</link:label>
    <link:label id="lab_obdc_RoyalBankOfCanadaMember_label_en-US" xlink:label="lab_obdc_RoyalBankOfCanadaMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Royal Bank of Canada [Member]</link:label>
    <link:label id="lab_obdc_RoyalBankOfCanadaMember_documentation_en-US" xlink:label="lab_obdc_RoyalBankOfCanadaMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Royal Bank of Canada</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_RoyalBankOfCanadaMember" xlink:href="obdc-20260331.xsd#obdc_RoyalBankOfCanadaMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_RoyalBankOfCanadaMember" xlink:to="lab_obdc_RoyalBankOfCanadaMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIClassAFRNotesMember_019cafa6-136c-711c-95cf-88b381cb9d15_terseLabel_en-US" xlink:label="lab_obdc_CLOIIClassAFRNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO II, Class A-FR Notes</link:label>
    <link:label id="lab_obdc_CLOIIClassAFRNotesMember_label_en-US" xlink:label="lab_obdc_CLOIIClassAFRNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO II, Class A-FR Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIIClassAFRNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIIClassAFRNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO II, Class A-FR Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIClassAFRNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOIIClassAFRNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIClassAFRNotesMember" xlink:to="lab_obdc_CLOIIClassAFRNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction_019cafa6-12dd-7e8d-8ab7-f0b978572e41_verboseLabel_en-US" xlink:label="lab_us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Number of Shares Issued (in shares)</link:label>
    <link:label id="lab_us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction_label_en-US" xlink:label="lab_us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Sale of Stock, Number of Shares Issued in Transaction</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction" xlink:to="lab_us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXMember_019cafa6-12dd-7053-b1d5-2a728b2f1d1a_terseLabel_en-US" xlink:label="lab_obdc_CLOXMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO X</link:label>
    <link:label id="lab_obdc_CLOXMember_label_en-US" xlink:label="lab_obdc_CLOXMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO X [Member]</link:label>
    <link:label id="lab_obdc_CLOXMember_documentation_en-US" xlink:label="lab_obdc_CLOXMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO X</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXMember" xlink:href="obdc-20260331.xsd#obdc_CLOXMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXMember" xlink:to="lab_obdc_CLOXMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DividendsAxis_019cafa6-136c-7bfc-8c75-8721ac1a5901_terseLabel_en-US" xlink:label="lab_us-gaap_DividendsAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dividends [Axis]</link:label>
    <link:label id="lab_us-gaap_DividendsAxis_label_en-US" xlink:label="lab_us-gaap_DividendsAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividends [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendsAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DividendsAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendsAxis" xlink:to="lab_us-gaap_DividendsAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_StockRepurchaseProgramAverageCostPerShare_019cafa6-13e2-7509-b414-79e5a0829e4c_terseLabel_en-US" xlink:label="lab_obdc_StockRepurchaseProgramAverageCostPerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Average Price Paid per Share (in usd per shares)</link:label>
    <link:label id="lab_obdc_StockRepurchaseProgramAverageCostPerShare_label_en-US" xlink:label="lab_obdc_StockRepurchaseProgramAverageCostPerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Repurchase Program, Average Cost Per Share</link:label>
    <link:label id="lab_obdc_StockRepurchaseProgramAverageCostPerShare_documentation_en-US" xlink:label="lab_obdc_StockRepurchaseProgramAverageCostPerShare" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Stock Repurchase Program, Average Cost Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_StockRepurchaseProgramAverageCostPerShare" xlink:href="obdc-20260331.xsd#obdc_StockRepurchaseProgramAverageCostPerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_StockRepurchaseProgramAverageCostPerShare" xlink:to="lab_obdc_StockRepurchaseProgramAverageCostPerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessDescriptionAndBasisOfPresentationTextBlock_019cafa6-13e2-7d1e-9771-88a827aaebb2_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessDescriptionAndBasisOfPresentationTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Organization</link:label>
    <link:label id="lab_us-gaap_BusinessDescriptionAndBasisOfPresentationTextBlock_label_en-US" xlink:label="lab_us-gaap_BusinessDescriptionAndBasisOfPresentationTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Description and Basis of Presentation [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessDescriptionAndBasisOfPresentationTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessDescriptionAndBasisOfPresentationTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessDescriptionAndBasisOfPresentationTextBlock" xlink:to="lab_us-gaap_BusinessDescriptionAndBasisOfPresentationTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIClassARNotesMember_019cafa6-12dd-7ec2-aa57-6b312db81edf_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassARNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-R Notes</link:label>
    <link:label id="lab_obdc_CLOVIIClassARNotesMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassARNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassARNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassARNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassARNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOVIIClassARNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassARNotesMember" xlink:to="lab_obdc_CLOVIIClassARNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract_label_en-US" xlink:label="lab_us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investments, Debt and Equity Securities [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:to="lab_us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DistributionSectorMember_019cafa6-13e2-7eaf-8769-b9502e38eceb_terseLabel_en-US" xlink:label="lab_obdc_DistributionSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distribution</link:label>
    <link:label id="lab_obdc_DistributionSectorMember_label_en-US" xlink:label="lab_obdc_DistributionSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Distribution Sector [Member]</link:label>
    <link:label id="lab_obdc_DistributionSectorMember_documentation_en-US" xlink:label="lab_obdc_DistributionSectorMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Distribution Sector</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DistributionSectorMember" xlink:href="obdc-20260331.xsd#obdc_DistributionSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DistributionSectorMember" xlink:to="lab_obdc_DistributionSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_Series2022ANotesTrancheBMember_019cafa6-136c-71da-bd32-8d520052cb35_terseLabel_en-US" xlink:label="lab_obdc_Series2022ANotesTrancheBMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Series 2022A Notes, Tranche B</link:label>
    <link:label id="lab_obdc_Series2022ANotesTrancheBMember_label_en-US" xlink:label="lab_obdc_Series2022ANotesTrancheBMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Series 2022A Notes, Tranche B [Member]</link:label>
    <link:label id="lab_obdc_Series2022ANotesTrancheBMember_documentation_en-US" xlink:label="lab_obdc_Series2022ANotesTrancheBMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Series 2022A Notes, Tranche B</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_Series2022ANotesTrancheBMember" xlink:href="obdc-20260331.xsd#obdc_Series2022ANotesTrancheBMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_Series2022ANotesTrancheBMember" xlink:to="lab_obdc_Series2022ANotesTrancheBMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ThreeMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_019cafa6-136c-7dfd-9a09-86578ec6c666_terseLabel_en-US" xlink:label="lab_obdc_ThreeMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subject To 3 Months</link:label>
    <link:label id="lab_obdc_ThreeMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_label_en-US" xlink:label="lab_obdc_ThreeMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Three Months Secured Overnight Financing Rate Sofr Overnight Index Swap Rate [Member]</link:label>
    <link:label id="lab_obdc_ThreeMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_documentation_en-US" xlink:label="lab_obdc_ThreeMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Three Months Secured Overnight Financing Rate Sofr Overnight Index Swap Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ThreeMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:href="obdc-20260331.xsd#obdc_ThreeMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ThreeMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:to="lab_obdc_ThreeMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestIncomeOperatingPaidInCash_019cafa6-136c-7b0e-b0af-645ffed6803b_terseLabel_en-US" xlink:label="lab_us-gaap_InterestIncomeOperatingPaidInCash" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest and PIK Income</link:label>
    <link:label id="lab_us-gaap_InterestIncomeOperatingPaidInCash_label_en-US" xlink:label="lab_us-gaap_InterestIncomeOperatingPaidInCash" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Income, Operating, Paid in Cash</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeOperatingPaidInCash" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InterestIncomeOperatingPaidInCash"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestIncomeOperatingPaidInCash" xlink:to="lab_us-gaap_InterestIncomeOperatingPaidInCash" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SixMonthsEURIBORMember_019cafa6-12dd-7939-a4c3-270d45e3557d_terseLabel_en-US" xlink:label="lab_obdc_SixMonthsEURIBORMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subject to 6 months EURIBOR</link:label>
    <link:label id="lab_obdc_SixMonthsEURIBORMember_label_en-US" xlink:label="lab_obdc_SixMonthsEURIBORMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Six Months EURIBOR [Member]</link:label>
    <link:label id="lab_obdc_SixMonthsEURIBORMember_documentation_en-US" xlink:label="lab_obdc_SixMonthsEURIBORMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Six Months EURIBOR</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SixMonthsEURIBORMember" xlink:href="obdc-20260331.xsd#obdc_SixMonthsEURIBORMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SixMonthsEURIBORMember" xlink:to="lab_obdc_SixMonthsEURIBORMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationIndemnificationAssetsAmountAsOfAcquisitionDate_019cafa6-13e2-7ddb-b844-6b576577d9cf_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationIndemnificationAssetsAmountAsOfAcquisitionDate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Reimbursement amount</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationIndemnificationAssetsAmountAsOfAcquisitionDate_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationIndemnificationAssetsAmountAsOfAcquisitionDate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Indemnification Asset, Acquisition Date, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationIndemnificationAssetsAmountAsOfAcquisitionDate" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationIndemnificationAssetsAmountAsOfAcquisitionDate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationIndemnificationAssetsAmountAsOfAcquisitionDate" xlink:to="lab_us-gaap_BusinessCombinationIndemnificationAssetsAmountAsOfAcquisitionDate" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FinancialServicesSectorMember_019cafa6-13e3-7556-a48a-c68aabb0a505_terseLabel_en-US" xlink:label="lab_us-gaap_FinancialServicesSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial services</link:label>
    <link:label id="lab_us-gaap_FinancialServicesSectorMember_label_en-US" xlink:label="lab_us-gaap_FinancialServicesSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Financial Services Sector [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancialServicesSectorMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinancialServicesSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FinancialServicesSectorMember" xlink:to="lab_us-gaap_FinancialServicesSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationUnderlyingPortfolioPercentage_019cafa6-13e3-7a9c-b442-477fbd1350b6_terseLabel_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationUnderlyingPortfolioPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Underlying portfolio percentage</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationUnderlyingPortfolioPercentage_label_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationUnderlyingPortfolioPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Underlying Portfolio Percentage</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationUnderlyingPortfolioPercentage_documentation_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationUnderlyingPortfolioPercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Underlying Portfolio Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DisposalGroupIncludingDiscontinuedOperationUnderlyingPortfolioPercentage" xlink:href="obdc-20260331.xsd#obdc_DisposalGroupIncludingDiscontinuedOperationUnderlyingPortfolioPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DisposalGroupIncludingDiscontinuedOperationUnderlyingPortfolioPercentage" xlink:to="lab_obdc_DisposalGroupIncludingDiscontinuedOperationUnderlyingPortfolioPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentCarryingAmount_019cafa6-136c-7197-8085-0a3b019d505e_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentCarryingAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Outstanding Principal</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentCarryingAmount_019cafa6-136c-77f2-abc7-b1e9b1411b22_totalLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentCarryingAmount" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentCarryingAmount_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentCarryingAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Long-Term Debt, Gross</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentCarryingAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentCarryingAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentCarryingAmount" xlink:to="lab_us-gaap_DebtInstrumentCarryingAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentBasisSpreadVariableRate_019cafa6-136c-7d3b-bbeb-aa8adcfb22ea_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentBasisSpreadVariableRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest</link:label>
    <link:label id="lab_us-gaap_InvestmentBasisSpreadVariableRate_label_en-US" xlink:label="lab_us-gaap_InvestmentBasisSpreadVariableRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Basis Spread, Variable Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentBasisSpreadVariableRate" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentBasisSpreadVariableRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentBasisSpreadVariableRate" xlink:to="lab_us-gaap_InvestmentBasisSpreadVariableRate" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_HealthcareProvidersAndServicesMember_019cafa6-136c-784a-bc72-b226d7e540f9_terseLabel_en-US" xlink:label="lab_obdc_HealthcareProvidersAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Healthcare providers and services</link:label>
    <link:label id="lab_obdc_HealthcareProvidersAndServicesMember_label_en-US" xlink:label="lab_obdc_HealthcareProvidersAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Healthcare Providers And Services [Member]</link:label>
    <link:label id="lab_obdc_HealthcareProvidersAndServicesMember_documentation_en-US" xlink:label="lab_obdc_HealthcareProvidersAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Healthcare Providers And Services</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_HealthcareProvidersAndServicesMember" xlink:href="obdc-20260331.xsd#obdc_HealthcareProvidersAndServicesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_HealthcareProvidersAndServicesMember" xlink:to="lab_obdc_HealthcareProvidersAndServicesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SterlingOvernightIndexAverageRateMember_019cafa6-136c-74ea-bb6f-d8b489ef95c9_terseLabel_en-US" xlink:label="lab_obdc_SterlingOvernightIndexAverageRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">SONIA Plus</link:label>
    <link:label id="lab_obdc_SterlingOvernightIndexAverageRateMember_label_en-US" xlink:label="lab_obdc_SterlingOvernightIndexAverageRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Sterling Overnight Index Average Rate [Member]</link:label>
    <link:label id="lab_obdc_SterlingOvernightIndexAverageRateMember_documentation_en-US" xlink:label="lab_obdc_SterlingOvernightIndexAverageRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Sterling Overnight Index Average Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SterlingOvernightIndexAverageRateMember" xlink:href="obdc-20260331.xsd#obdc_SterlingOvernightIndexAverageRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SterlingOvernightIndexAverageRateMember" xlink:to="lab_obdc_SterlingOvernightIndexAverageRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentOwnedBalanceShares_019cafa6-12dd-7325-a3e9-22b3c9c2e12b_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedBalanceShares" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Units (in shares)</link:label>
    <link:label id="lab_us-gaap_InvestmentOwnedBalanceShares_label_en-US" xlink:label="lab_us-gaap_InvestmentOwnedBalanceShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Owned, Balance, Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentOwnedBalanceShares" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentOwnedBalanceShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentOwnedBalanceShares" xlink:to="lab_us-gaap_InvestmentOwnedBalanceShares" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DividendsDomain_019cafa6-136c-7024-bd7d-67205fe282b6_terseLabel_en-US" xlink:label="lab_us-gaap_DividendsDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dividends [Domain]</link:label>
    <link:label id="lab_us-gaap_DividendsDomain_label_en-US" xlink:label="lab_us-gaap_DividendsDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividends [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendsDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DividendsDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendsDomain" xlink:to="lab_us-gaap_DividendsDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_TrdArrExpirationDate_terseLabel_en-US" xlink:label="lab_ecd_TrdArrExpirationDate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Expiration Date</link:label>
    <link:label id="lab_ecd_TrdArrExpirationDate_label_en-US" xlink:label="lab_ecd_TrdArrExpirationDate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trading Arrangement Expiration Date</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TrdArrExpirationDate" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_TrdArrExpirationDate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TrdArrExpirationDate" xlink:to="lab_ecd_TrdArrExpirationDate" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare_019cafa6-13e2-7804-ab35-88860df4f4fe_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net investment income (in usd per share)</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Investment Income (Loss), Per Share, Basic</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" xlink:to="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CommitmentToLSIFinancingDACMember_019cafa6-136c-7e1c-9e82-991b07faedd1_terseLabel_en-US" xlink:label="lab_obdc_CommitmentToLSIFinancingDACMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Commitment To LSI Financing DAC</link:label>
    <link:label id="lab_obdc_CommitmentToLSIFinancingDACMember_label_en-US" xlink:label="lab_obdc_CommitmentToLSIFinancingDACMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Commitment To LSI Financing DAC [Member]</link:label>
    <link:label id="lab_obdc_CommitmentToLSIFinancingDACMember_documentation_en-US" xlink:label="lab_obdc_CommitmentToLSIFinancingDACMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Commitment To LSI Financing DAC</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CommitmentToLSIFinancingDACMember" xlink:href="obdc-20260331.xsd#obdc_CommitmentToLSIFinancingDACMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CommitmentToLSIFinancingDACMember" xlink:to="lab_obdc_CommitmentToLSIFinancingDACMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyTransactionAmountsOfTransaction_019cafa6-12dd-7342-8732-4491dd058974_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionAmountsOfTransaction" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Amount of transaction</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionAmountsOfTransaction_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionAmountsOfTransaction" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction, Amounts of Transaction</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionAmountsOfTransaction" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyTransactionAmountsOfTransaction"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionAmountsOfTransaction" xlink:to="lab_us-gaap_RelatedPartyTransactionAmountsOfTransaction" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestIncomeOperatingPaidInKind_019cafa6-13e3-747b-90d5-1931ee75ae61_terseLabel_en-US" xlink:label="lab_us-gaap_InterestIncomeOperatingPaidInKind" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Payment-in-kind (&#8220;PIK&#8221;) interest income</link:label>
    <link:label id="lab_us-gaap_InterestIncomeOperatingPaidInKind_019cafa6-13e3-772a-996a-4498ab8a56cd_verboseLabel_en-US" xlink:label="lab_us-gaap_InterestIncomeOperatingPaidInKind" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">PIK Interest Income</link:label>
    <link:label id="lab_us-gaap_InterestIncomeOperatingPaidInKind_label_en-US" xlink:label="lab_us-gaap_InterestIncomeOperatingPaidInKind" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Income, Operating, Paid in Kind</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeOperatingPaidInKind" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InterestIncomeOperatingPaidInKind"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestIncomeOperatingPaidInKind" xlink:to="lab_us-gaap_InterestIncomeOperatingPaidInKind" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentsMember_019cafa6-12dd-795d-9b10-2428e41994ec_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total</link:label>
    <link:label id="lab_us-gaap_InvestmentsMember_label_en-US" xlink:label="lab_us-gaap_InvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investments [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentsMember" xlink:to="lab_us-gaap_InvestmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CommonEquityCommitmentsMember_019cafa6-136c-78b2-a5cf-a6398dcce97a_terseLabel_en-US" xlink:label="lab_obdc_CommonEquityCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Common equity commitments</link:label>
    <link:label id="lab_obdc_CommonEquityCommitmentsMember_label_en-US" xlink:label="lab_obdc_CommonEquityCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Common Equity Commitments [Member]</link:label>
    <link:label id="lab_obdc_CommonEquityCommitmentsMember_documentation_en-US" xlink:label="lab_obdc_CommonEquityCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Common Equity Commitments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CommonEquityCommitmentsMember" xlink:href="obdc-20260331.xsd#obdc_CommonEquityCommitmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CommonEquityCommitmentsMember" xlink:to="lab_obdc_CommonEquityCommitmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_GeographicConcentrationRiskMember_019cafa6-136c-7737-8e8e-7269b0a8c69f_terseLabel_en-US" xlink:label="lab_us-gaap_GeographicConcentrationRiskMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Geographic Concentration Risk</link:label>
    <link:label id="lab_us-gaap_GeographicConcentrationRiskMember_label_en-US" xlink:label="lab_us-gaap_GeographicConcentrationRiskMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Geographic Concentration Risk [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GeographicConcentrationRiskMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GeographicConcentrationRiskMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_GeographicConcentrationRiskMember" xlink:to="lab_us-gaap_GeographicConcentrationRiskMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_CompActuallyPaidVsNetIncomeTextBlock_terseLabel_en-US" xlink:label="lab_ecd_CompActuallyPaidVsNetIncomeTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Compensation Actually Paid vs. Net Income</link:label>
    <link:label id="lab_ecd_CompActuallyPaidVsNetIncomeTextBlock_label_en-US" xlink:label="lab_ecd_CompActuallyPaidVsNetIncomeTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Compensation Actually Paid vs. Net Income [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_CompActuallyPaidVsNetIncomeTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_CompActuallyPaidVsNetIncomeTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_CompActuallyPaidVsNetIncomeTextBlock" xlink:to="lab_ecd_CompActuallyPaidVsNetIncomeTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXIVMember_019cafa6-136c-7914-a7d5-402c0b9b3621_terseLabel_en-US" xlink:label="lab_obdc_CLOXIVMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO XIV</link:label>
    <link:label id="lab_obdc_CLOXIVMember_label_en-US" xlink:label="lab_obdc_CLOXIVMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO XIV [Member]</link:label>
    <link:label id="lab_obdc_CLOXIVMember_documentation_en-US" xlink:label="lab_obdc_CLOXIVMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO XIV</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXIVMember" xlink:href="obdc-20260331.xsd#obdc_CLOXIVMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXIVMember" xlink:to="lab_obdc_CLOXIVMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityCurrentReportingStatus_019cafa6-136c-7b3c-9781-56a0fd4b11a1_terseLabel_en-US" xlink:label="lab_dei_EntityCurrentReportingStatus" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Current Reporting Status</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCurrentReportingStatus" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityCurrentReportingStatus"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityCurrentReportingStatus" xlink:to="lab_dei_EntityCurrentReportingStatus" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTableTextBlock_019cafa6-136c-7d8c-8379-dd045d3c3d45_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Investments</link:label>
    <link:label id="lab_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTableTextBlock_label_en-US" xlink:label="lab_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Holdings, Schedule of Investments [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentHoldingsScheduleOfInvestmentsTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTableTextBlock" xlink:to="lab_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeLineItems_019cafa6-12dd-717b-b13c-692b682f226f_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative [Line Items]</link:label>
    <link:label id="lab_us-gaap_DerivativeLineItems_label_en-US" xlink:label="lab_us-gaap_DerivativeLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeLineItems" xlink:to="lab_us-gaap_DerivativeLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ReimbursementOfTransactionRelatedExpensesPolicyPolicyTextBlock_019cafa6-12dd-768a-acaf-c864bd63a942_terseLabel_en-US" xlink:label="lab_obdc_ReimbursementOfTransactionRelatedExpensesPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Reimbursement of Transaction-Related Expenses</link:label>
    <link:label id="lab_obdc_ReimbursementOfTransactionRelatedExpensesPolicyPolicyTextBlock_label_en-US" xlink:label="lab_obdc_ReimbursementOfTransactionRelatedExpensesPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Reimbursement Of Transaction-Related Expenses, Policy [Policy Text Block]</link:label>
    <link:label id="lab_obdc_ReimbursementOfTransactionRelatedExpensesPolicyPolicyTextBlock_documentation_en-US" xlink:label="lab_obdc_ReimbursementOfTransactionRelatedExpensesPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Reimbursement Of Transaction-Related Expenses, Policy</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ReimbursementOfTransactionRelatedExpensesPolicyPolicyTextBlock" xlink:href="obdc-20260331.xsd#obdc_ReimbursementOfTransactionRelatedExpensesPolicyPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ReimbursementOfTransactionRelatedExpensesPolicyPolicyTextBlock" xlink:to="lab_obdc_ReimbursementOfTransactionRelatedExpensesPolicyPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AwardsCloseToMnpiDiscTable_terseLabel_en-US" xlink:label="lab_ecd_AwardsCloseToMnpiDiscTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Awards Close in Time to MNPI Disclosures</link:label>
    <link:label id="lab_ecd_AwardsCloseToMnpiDiscTable_label_en-US" xlink:label="lab_ecd_AwardsCloseToMnpiDiscTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Awards Close in Time to MNPI Disclosures [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardsCloseToMnpiDiscTable" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AwardsCloseToMnpiDiscTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardsCloseToMnpiDiscTable" xlink:to="lab_ecd_AwardsCloseToMnpiDiscTable" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BusinessServicesMember_019cafa6-13e3-7d56-9ec8-bcad19135f1f_terseLabel_en-US" xlink:label="lab_obdc_BusinessServicesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Business services</link:label>
    <link:label id="lab_obdc_BusinessServicesMember_label_en-US" xlink:label="lab_obdc_BusinessServicesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Services [Member]</link:label>
    <link:label id="lab_obdc_BusinessServicesMember_documentation_en-US" xlink:label="lab_obdc_BusinessServicesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Business Services</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BusinessServicesMember" xlink:href="obdc-20260331.xsd#obdc_BusinessServicesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BusinessServicesMember" xlink:to="lab_obdc_BusinessServicesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_TransportationSectorMember_019cafa6-12dd-7bcd-b6d1-3571305617f4_terseLabel_en-US" xlink:label="lab_us-gaap_TransportationSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transportation</link:label>
    <link:label id="lab_us-gaap_TransportationSectorMember_label_en-US" xlink:label="lab_us-gaap_TransportationSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Transportation Sector [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TransportationSectorMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TransportationSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_TransportationSectorMember" xlink:to="lab_us-gaap_TransportationSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyExpenseRatioIncludingIncentiveFee_019cafa6-136c-72f9-a2a2-bc2e7752792e_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyExpenseRatioIncludingIncentiveFee" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Ratio of total expenses to average net assets</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyExpenseRatioIncludingIncentiveFee_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyExpenseRatioIncludingIncentiveFee" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Expense Ratio, after Fee Waiver and Incentive Fee Deduction</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyExpenseRatioIncludingIncentiveFee" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyExpenseRatioIncludingIncentiveFee"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyExpenseRatioIncludingIncentiveFee" xlink:to="lab_us-gaap_InvestmentCompanyExpenseRatioIncludingIncentiveFee" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_HealthcareTechnologySectorMember_019cafa6-136c-78a4-8ba9-e0a49b7ae094_terseLabel_en-US" xlink:label="lab_obdc_HealthcareTechnologySectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Healthcare technology</link:label>
    <link:label id="lab_obdc_HealthcareTechnologySectorMember_label_en-US" xlink:label="lab_obdc_HealthcareTechnologySectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Healthcare Technology Sector [Member]</link:label>
    <link:label id="lab_obdc_HealthcareTechnologySectorMember_documentation_en-US" xlink:label="lab_obdc_HealthcareTechnologySectorMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Healthcare Technology Sector</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_HealthcareTechnologySectorMember" xlink:href="obdc-20260331.xsd#obdc_HealthcareTechnologySectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_HealthcareTechnologySectorMember" xlink:to="lab_obdc_HealthcareTechnologySectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FinancialInstrumentAxis_019cafa6-12dd-7bca-bf87-dc08df95da00_terseLabel_en-US" xlink:label="lab_us-gaap_FinancialInstrumentAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial Instrument [Axis]</link:label>
    <link:label id="lab_us-gaap_FinancialInstrumentAxis_label_en-US" xlink:label="lab_us-gaap_FinancialInstrumentAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Financial Instrument [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancialInstrumentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinancialInstrumentAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FinancialInstrumentAxis" xlink:to="lab_us-gaap_FinancialInstrumentAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StatementOfFinancialPositionAbstract_019cafa6-12dd-740c-b47c-7b2011d2714c_terseLabel_en-US" xlink:label="lab_us-gaap_StatementOfFinancialPositionAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Statement of Financial Position [Abstract]</link:label>
    <link:label id="lab_us-gaap_StatementOfFinancialPositionAbstract_019cafa6-12dd-778c-be7e-d8cdfaa0eb84_verboseLabel_en-US" xlink:label="lab_us-gaap_StatementOfFinancialPositionAbstract" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Consolidated Balance Sheet Data</link:label>
    <link:label id="lab_us-gaap_StatementOfFinancialPositionAbstract_label_en-US" xlink:label="lab_us-gaap_StatementOfFinancialPositionAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statement of Financial Position [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOfFinancialPositionAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatementOfFinancialPositionAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract" xlink:to="lab_us-gaap_StatementOfFinancialPositionAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_ExecutiveCategoryAxis_terseLabel_en-US" xlink:label="lab_ecd_ExecutiveCategoryAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Executive Category:</link:label>
    <link:label id="lab_ecd_ExecutiveCategoryAxis_label_en-US" xlink:label="lab_ecd_ExecutiveCategoryAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Executive Category [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_ExecutiveCategoryAxis" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_ExecutiveCategoryAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_ExecutiveCategoryAxis" xlink:to="lab_ecd_ExecutiveCategoryAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RepaymentsOfDebt_019cafa6-136c-795c-8a2f-5a6942339072_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_RepaymentsOfDebt" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Payments on debt</link:label>
    <link:label id="lab_us-gaap_RepaymentsOfDebt_label_en-US" xlink:label="lab_us-gaap_RepaymentsOfDebt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Repayments of Debt</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RepaymentsOfDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RepaymentsOfDebt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RepaymentsOfDebt" xlink:to="lab_us-gaap_RepaymentsOfDebt" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_LongTermDebtMaturityYearThreeToFive_019cafa6-13e3-75c0-be93-d3cb3fe852d6_terseLabel_en-US" xlink:label="lab_obdc_LongTermDebtMaturityYearThreeToFive" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">3-5 years</link:label>
    <link:label id="lab_obdc_LongTermDebtMaturityYearThreeToFive_label_en-US" xlink:label="lab_obdc_LongTermDebtMaturityYearThreeToFive" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Long Term Debt Maturity Year Three To Five</link:label>
    <link:label id="lab_obdc_LongTermDebtMaturityYearThreeToFive_documentation_en-US" xlink:label="lab_obdc_LongTermDebtMaturityYearThreeToFive" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Long Term Debt Maturity Year Three To Five</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_LongTermDebtMaturityYearThreeToFive" xlink:href="obdc-20260331.xsd#obdc_LongTermDebtMaturityYearThreeToFive"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_LongTermDebtMaturityYearThreeToFive" xlink:to="lab_obdc_LongTermDebtMaturityYearThreeToFive" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MarketApproachValuationTechniqueMember_019cafa6-136c-7bd7-9655-d69f216d754c_terseLabel_en-US" xlink:label="lab_us-gaap_MarketApproachValuationTechniqueMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Market Approach</link:label>
    <link:label id="lab_us-gaap_MarketApproachValuationTechniqueMember_label_en-US" xlink:label="lab_us-gaap_MarketApproachValuationTechniqueMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation, Market Approach [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MarketApproachValuationTechniqueMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MarketApproachValuationTechniqueMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MarketApproachValuationTechniqueMember" xlink:to="lab_us-gaap_MarketApproachValuationTechniqueMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_CurrentFiscalYearEndDate_019cafa6-13e2-7457-86d3-9c9698f29ab8_terseLabel_en-US" xlink:label="lab_dei_CurrentFiscalYearEndDate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Current Fiscal Year End Date</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CurrentFiscalYearEndDate" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CurrentFiscalYearEndDate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_CurrentFiscalYearEndDate" xlink:to="lab_dei_CurrentFiscalYearEndDate" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RealizedInvestmentGainsLossesAbstract_019cafa6-12dd-7dd2-bf53-9374cfd7f7bd_terseLabel_en-US" xlink:label="lab_us-gaap_RealizedInvestmentGainsLossesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net realized gain (loss):</link:label>
    <link:label id="lab_us-gaap_RealizedInvestmentGainsLossesAbstract_label_en-US" xlink:label="lab_us-gaap_RealizedInvestmentGainsLossesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Realized Investment Gains (Losses) [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RealizedInvestmentGainsLossesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RealizedInvestmentGainsLossesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RealizedInvestmentGainsLossesAbstract" xlink:to="lab_us-gaap_RealizedInvestmentGainsLossesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ProfessionalFees_019cafa6-12dd-7347-8ab1-0fb643b20560_verboseLabel_en-US" xlink:label="lab_us-gaap_ProfessionalFees" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Professional fees</link:label>
    <link:label id="lab_us-gaap_ProfessionalFees_label_en-US" xlink:label="lab_us-gaap_ProfessionalFees" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Professional Fees</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProfessionalFees" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProfessionalFees"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProfessionalFees" xlink:to="lab_us-gaap_ProfessionalFees" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeLiabilities_019cafa6-136c-77a4-8b10-2a344c6ec122_negatedLabel_en-US" xlink:label="lab_us-gaap_DerivativeLiabilities" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Liabilities</link:label>
    <link:label id="lab_us-gaap_DerivativeLiabilities_label_en-US" xlink:label="lab_us-gaap_DerivativeLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Liability</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLiabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeLiabilities" xlink:to="lab_us-gaap_DerivativeLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_EqtyAwrdsAdjsExclgValRprtdInSummryCompstnTblMember_terseLabel_en-US" xlink:label="lab_ecd_EqtyAwrdsAdjsExclgValRprtdInSummryCompstnTblMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Awards Adjustments, Excluding Value Reported in Compensation Table</link:label>
    <link:label id="lab_ecd_EqtyAwrdsAdjsExclgValRprtdInSummryCompstnTblMember_label_en-US" xlink:label="lab_ecd_EqtyAwrdsAdjsExclgValRprtdInSummryCompstnTblMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Awards Adjustments, Excluding Value Reported in the Compensation Table [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_EqtyAwrdsAdjsExclgValRprtdInSummryCompstnTblMember" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_EqtyAwrdsAdjsExclgValRprtdInSummryCompstnTblMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_EqtyAwrdsAdjsExclgValRprtdInSummryCompstnTblMember" xlink:to="lab_ecd_EqtyAwrdsAdjsExclgValRprtdInSummryCompstnTblMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtVariableRateComponentAxis_019cafa6-136c-76c2-b0eb-2c051b91e68b_terseLabel_en-US" xlink:label="lab_obdc_DebtVariableRateComponentAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component [Axis]</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentAxis_label_en-US" xlink:label="lab_obdc_DebtVariableRateComponentAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component [Axis]</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentAxis_documentation_en-US" xlink:label="lab_obdc_DebtVariableRateComponentAxis" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtVariableRateComponentAxis" xlink:href="obdc-20260331.xsd#obdc_DebtVariableRateComponentAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtVariableRateComponentAxis" xlink:to="lab_obdc_DebtVariableRateComponentAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FinancialSupportToNonconsolidatedLegalEntityDomain_019cafa6-12dd-7cb5-bd38-7065d95f7182_terseLabel_en-US" xlink:label="lab_us-gaap_FinancialSupportToNonconsolidatedLegalEntityDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial Support to Nonconsolidated Legal Entity [Domain]</link:label>
    <link:label id="lab_us-gaap_FinancialSupportToNonconsolidatedLegalEntityDomain_label_en-US" xlink:label="lab_us-gaap_FinancialSupportToNonconsolidatedLegalEntityDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Financial Support to Nonconsolidated Legal Entity [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancialSupportToNonconsolidatedLegalEntityDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinancialSupportToNonconsolidatedLegalEntityDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FinancialSupportToNonconsolidatedLegalEntityDomain" xlink:to="lab_us-gaap_FinancialSupportToNonconsolidatedLegalEntityDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIClassCNotesMember_019cafa6-13e3-7075-9682-a30daca4e2e1_terseLabel_en-US" xlink:label="lab_obdc_CLOIClassCNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I, Class C Notes</link:label>
    <link:label id="lab_obdc_CLOIClassCNotesMember_label_en-US" xlink:label="lab_obdc_CLOIClassCNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I, Class C Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIClassCNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIClassCNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I, Class C Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIClassCNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOIClassCNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIClassCNotesMember" xlink:to="lab_obdc_CLOIClassCNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodValueAcquisitions_019cafa6-12dd-7b73-8596-a9e58ffc8734_terseLabel_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodValueAcquisitions" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Issuance of common shares in connection with the Mergers</link:label>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodValueAcquisitions_label_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodValueAcquisitions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Issued During Period, Value, Acquisitions</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockIssuedDuringPeriodValueAcquisitions" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockIssuedDuringPeriodValueAcquisitions"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockIssuedDuringPeriodValueAcquisitions" xlink:to="lab_us-gaap_StockIssuedDuringPeriodValueAcquisitions" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtVariableRateComponentThreeGreaterThanEqualProductMember_019cafa6-136c-7408-8723-d8b3b55d7949_terseLabel_en-US" xlink:label="lab_obdc_DebtVariableRateComponentThreeGreaterThanEqualProductMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Three, Greater Than Equal Product</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentThreeGreaterThanEqualProductMember_label_en-US" xlink:label="lab_obdc_DebtVariableRateComponentThreeGreaterThanEqualProductMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Three, Greater Than Equal Product [Member]</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentThreeGreaterThanEqualProductMember_documentation_en-US" xlink:label="lab_obdc_DebtVariableRateComponentThreeGreaterThanEqualProductMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Three, Greater Than Equal Product</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtVariableRateComponentThreeGreaterThanEqualProductMember" xlink:href="obdc-20260331.xsd#obdc_DebtVariableRateComponentThreeGreaterThanEqualProductMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtVariableRateComponentThreeGreaterThanEqualProductMember" xlink:to="lab_obdc_DebtVariableRateComponentThreeGreaterThanEqualProductMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingTaxExpenseBenefit_019cafa6-136c-7039-bb3c-d7aa0c766210_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Income tax (provision) benefit</link:label>
    <link:label id="lab_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingTaxExpenseBenefit_label_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unrealized Gain (Loss), Investment and Derivative, Operating, Tax Expense (Benefit)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingTaxExpenseBenefit" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingTaxExpenseBenefit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingTaxExpenseBenefit" xlink:to="lab_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingTaxExpenseBenefit" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInFinancingActivities_019cafa6-136c-7751-bd56-e4de1aca8e0d_totalLabel_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInFinancingActivities" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net cash provided by (used in) financing activities</link:label>
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInFinancingActivities_label_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInFinancingActivities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash Provided by (Used in) Financing Activity, Including Discontinued Operation</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities" xlink:to="lab_us-gaap_NetCashProvidedByUsedInFinancingActivities" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_MeasureAxis_terseLabel_en-US" xlink:label="lab_ecd_MeasureAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Measure:</link:label>
    <link:label id="lab_ecd_MeasureAxis_label_en-US" xlink:label="lab_ecd_MeasureAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measure [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_MeasureAxis" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_MeasureAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_MeasureAxis" xlink:to="lab_ecd_MeasureAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIVMember_019cafa6-12dd-7b31-8e4d-e1824c80ba75_terseLabel_en-US" xlink:label="lab_obdc_CLOIVMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO IV</link:label>
    <link:label id="lab_obdc_CLOIVMember_label_en-US" xlink:label="lab_obdc_CLOIVMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO IV [Member]</link:label>
    <link:label id="lab_obdc_CLOIVMember_documentation_en-US" xlink:label="lab_obdc_CLOIVMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO IV</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIVMember" xlink:href="obdc-20260331.xsd#obdc_CLOIVMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIVMember" xlink:to="lab_obdc_CLOIVMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ValuationTechniqueAxis_019cafa6-136c-7fe8-b6c9-797883e5df7c_terseLabel_en-US" xlink:label="lab_us-gaap_ValuationTechniqueAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Valuation Approach and Technique [Axis]</link:label>
    <link:label id="lab_us-gaap_ValuationTechniqueAxis_label_en-US" xlink:label="lab_us-gaap_ValuationTechniqueAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation Approach and Technique [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ValuationTechniqueAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ValuationTechniqueAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ValuationTechniqueAxis" xlink:to="lab_us-gaap_ValuationTechniqueAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeFairValueOfDerivativeNet_019cafa6-12dd-725c-9d48-d9924435fa0d_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeFairValueOfDerivativeNet" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value</link:label>
    <link:label id="lab_us-gaap_DerivativeFairValueOfDerivativeNet_019cafa6-12dd-73be-a730-f7a20a05e79a_verboseLabel_en-US" xlink:label="lab_us-gaap_DerivativeFairValueOfDerivativeNet" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Interest rate swaps</link:label>
    <link:label id="lab_us-gaap_DerivativeFairValueOfDerivativeNet_label_en-US" xlink:label="lab_us-gaap_DerivativeFairValueOfDerivativeNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative, Fair Value, Net</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeFairValueOfDerivativeNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeFairValueOfDerivativeNet"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeFairValueOfDerivativeNet" xlink:to="lab_us-gaap_DerivativeFairValueOfDerivativeNet" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1_019cafa6-13e3-7767-afb7-698420045463_terseLabel_en-US" xlink:label="lab_us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Approximate Dollar Value of Shares that May Yet Be Purchased Under the Plan</link:label>
    <link:label id="lab_us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1_label_en-US" xlink:label="lab_us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share Repurchase Program, Remaining Authorized, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1" xlink:to="lab_us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredAmount_019cafa6-136c-739d-a6d2-a3e55239f9c0_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Funded Commitment</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredAmount_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Financial Support to Investee Contractually Required, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredAmount" xlink:to="lab_us-gaap_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_PvpTableTextBlock_terseLabel_en-US" xlink:label="lab_ecd_PvpTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Pay vs Performance Disclosure, Table</link:label>
    <link:label id="lab_ecd_PvpTableTextBlock_label_en-US" xlink:label="lab_ecd_PvpTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Pay vs Performance [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PvpTableTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_PvpTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PvpTableTextBlock" xlink:to="lab_ecd_PvpTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationInvestmentsFloatingRatePercentage_019cafa6-13e3-7282-b624-5cf0f5bf074d_terseLabel_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationInvestmentsFloatingRatePercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments floating rate percentage</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationInvestmentsFloatingRatePercentage_label_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationInvestmentsFloatingRatePercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Investments Floating Rate Percentage</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationInvestmentsFloatingRatePercentage_documentation_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationInvestmentsFloatingRatePercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Investments Floating Rate Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DisposalGroupIncludingDiscontinuedOperationInvestmentsFloatingRatePercentage" xlink:href="obdc-20260331.xsd#obdc_DisposalGroupIncludingDiscontinuedOperationInvestmentsFloatingRatePercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DisposalGroupIncludingDiscontinuedOperationInvestmentsFloatingRatePercentage" xlink:to="lab_obdc_DisposalGroupIncludingDiscontinuedOperationInvestmentsFloatingRatePercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_ForgoneRecoveryDueToViolationOfHomeCountryLawAmt_terseLabel_en-US" xlink:label="lab_ecd_ForgoneRecoveryDueToViolationOfHomeCountryLawAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Forgone Recovery due to Violation of Home Country Law, Amount</link:label>
    <link:label id="lab_ecd_ForgoneRecoveryDueToViolationOfHomeCountryLawAmt_label_en-US" xlink:label="lab_ecd_ForgoneRecoveryDueToViolationOfHomeCountryLawAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Forgone Recovery due to Violation of Home Country Law, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_ForgoneRecoveryDueToViolationOfHomeCountryLawAmt" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_ForgoneRecoveryDueToViolationOfHomeCountryLawAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_ForgoneRecoveryDueToViolationOfHomeCountryLawAmt" xlink:to="lab_ecd_ForgoneRecoveryDueToViolationOfHomeCountryLawAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AmortizationOfFinancingCosts_019cafa6-12dd-7652-891a-c288bc242ec5_verboseLabel_en-US" xlink:label="lab_us-gaap_AmortizationOfFinancingCosts" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Amortization of debt issuance costs</link:label>
    <link:label id="lab_us-gaap_AmortizationOfFinancingCosts_019cafa6-12dd-7eae-9ad1-16de091ebec7_terseLabel_en-US" xlink:label="lab_us-gaap_AmortizationOfFinancingCosts" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Amortization of debt issuance costs</link:label>
    <link:label id="lab_us-gaap_AmortizationOfFinancingCosts_label_en-US" xlink:label="lab_us-gaap_AmortizationOfFinancingCosts" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Amortization of Debt Issuance Costs</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationOfFinancingCosts" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AmortizationOfFinancingCosts"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AmortizationOfFinancingCosts" xlink:to="lab_us-gaap_AmortizationOfFinancingCosts" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentIncomeInvestmentExpense_019cafa6-12dd-7818-b34c-3c34b37af4ed_totalLabel_en-US" xlink:label="lab_us-gaap_InvestmentIncomeInvestmentExpense" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Operating Expenses</link:label>
    <link:label id="lab_us-gaap_InvestmentIncomeInvestmentExpense_019cafa6-12dd-703b-807c-6305fed17b9d_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentIncomeInvestmentExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net operating expenses</link:label>
    <link:label id="lab_us-gaap_InvestmentIncomeInvestmentExpense_label_en-US" xlink:label="lab_us-gaap_InvestmentIncomeInvestmentExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Income, Investment Expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIncomeInvestmentExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIncomeInvestmentExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIncomeInvestmentExpense" xlink:to="lab_us-gaap_InvestmentIncomeInvestmentExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityTaxIdentificationNumber_019cafa6-136c-75c1-ac22-dccd763fa8fb_terseLabel_en-US" xlink:label="lab_dei_EntityTaxIdentificationNumber" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Tax Identification Number</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityTaxIdentificationNumber" xlink:to="lab_dei_EntityTaxIdentificationNumber" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ValuationTechniqueDiscountedCashFlowMember_019cafa6-13e2-7111-837c-9706b4b1e996_terseLabel_en-US" xlink:label="lab_us-gaap_ValuationTechniqueDiscountedCashFlowMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Discounted Cash Flow Analysis</link:label>
    <link:label id="lab_us-gaap_ValuationTechniqueDiscountedCashFlowMember_label_en-US" xlink:label="lab_us-gaap_ValuationTechniqueDiscountedCashFlowMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation Technique, Discounted Cash Flow [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ValuationTechniqueDiscountedCashFlowMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ValuationTechniqueDiscountedCashFlowMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ValuationTechniqueDiscountedCashFlowMember" xlink:to="lab_us-gaap_ValuationTechniqueDiscountedCashFlowMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetNetAmortizationAccretionOfPremiumDiscountOnInvestments_019cafa6-13e2-7ca9-a8e8-997614910cad_terseLabel_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetNetAmortizationAccretionOfPremiumDiscountOnInvestments" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net amortization/accretion of discount/premium on investments</link:label>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetNetAmortizationAccretionOfPremiumDiscountOnInvestments_label_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetNetAmortizationAccretionOfPremiumDiscountOnInvestments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement With Unobservable Inputs Reconciliation, Recurring Basis, Asset, Net Amortization/Accretion Of Premium/Discount On Investments</link:label>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetNetAmortizationAccretionOfPremiumDiscountOnInvestments_documentation_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetNetAmortizationAccretionOfPremiumDiscountOnInvestments" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement With Unobservable Inputs Reconciliation, Recurring Basis, Asset, Net Amortization/Accretion Of Premium/Discount On Investments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetNetAmortizationAccretionOfPremiumDiscountOnInvestments" xlink:href="obdc-20260331.xsd#obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetNetAmortizationAccretionOfPremiumDiscountOnInvestments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetNetAmortizationAccretionOfPremiumDiscountOnInvestments" xlink:to="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetNetAmortizationAccretionOfPremiumDiscountOnInvestments" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationFairValueEquivalentPercentage_019cafa6-13e3-7a47-a110-5874f3f561f3_terseLabel_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationFairValueEquivalentPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair value equivalent percentage</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationFairValueEquivalentPercentage_label_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationFairValueEquivalentPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Fair Value, Equivalent Percentage</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationFairValueEquivalentPercentage_documentation_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationFairValueEquivalentPercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Fair Value, Equivalent Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DisposalGroupIncludingDiscontinuedOperationFairValueEquivalentPercentage" xlink:href="obdc-20260331.xsd#obdc_DisposalGroupIncludingDiscontinuedOperationFairValueEquivalentPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DisposalGroupIncludingDiscontinuedOperationFairValueEquivalentPercentage" xlink:to="lab_obdc_DisposalGroupIncludingDiscontinuedOperationFairValueEquivalentPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommonStockSharesIssued_019cafa6-12dd-784c-a417-d3bab517a41f_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockSharesIssued" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Common stock, shares issued (in shares)</link:label>
    <link:label id="lab_us-gaap_CommonStockSharesIssued_label_en-US" xlink:label="lab_us-gaap_CommonStockSharesIssued" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Common Stock, Shares, Issued</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockSharesIssued" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonStockSharesIssued"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockSharesIssued" xlink:to="lab_us-gaap_CommonStockSharesIssued" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_JointVenturesMember_019cafa6-13e3-7c43-bee7-2ed70f76349f_terseLabel_en-US" xlink:label="lab_obdc_JointVenturesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Joint ventures</link:label>
    <link:label id="lab_obdc_JointVenturesMember_019cafa6-13e3-71e6-bdfd-03918d276d63_verboseLabel_en-US" xlink:label="lab_obdc_JointVenturesMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Joint ventures</link:label>
    <link:label id="lab_obdc_JointVenturesMember_label_en-US" xlink:label="lab_obdc_JointVenturesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Joint Ventures [Member]</link:label>
    <link:label id="lab_obdc_JointVenturesMember_documentation_en-US" xlink:label="lab_obdc_JointVenturesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Joint Ventures</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_JointVenturesMember" xlink:href="obdc-20260331.xsd#obdc_JointVenturesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_JointVenturesMember" xlink:to="lab_obdc_JointVenturesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsBelowAssetCoverageRatioMember_019cafa6-13e2-7610-9fd5-d785a36b0b8e_terseLabel_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsBelowAssetCoverageRatioMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Management Fee - Average Gross Assets Below Asset Coverage Ratio</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsBelowAssetCoverageRatioMember_label_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsBelowAssetCoverageRatioMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Management Fee - Average Gross Assets Below Asset Coverage Ratio [Member]</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsBelowAssetCoverageRatioMember_documentation_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsBelowAssetCoverageRatioMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Management Fee - Average Gross Assets Below Asset Coverage Ratio</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsBelowAssetCoverageRatioMember" xlink:href="obdc-20260331.xsd#obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsBelowAssetCoverageRatioMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsBelowAssetCoverageRatioMember" xlink:to="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsBelowAssetCoverageRatioMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_HealthcareEquipmentAndServicesMember_019cafa6-136c-7978-9eb1-3627d9cbeb70_terseLabel_en-US" xlink:label="lab_obdc_HealthcareEquipmentAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Healthcare equipment and services</link:label>
    <link:label id="lab_obdc_HealthcareEquipmentAndServicesMember_label_en-US" xlink:label="lab_obdc_HealthcareEquipmentAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Healthcare Equipment And Services [Member]</link:label>
    <link:label id="lab_obdc_HealthcareEquipmentAndServicesMember_documentation_en-US" xlink:label="lab_obdc_HealthcareEquipmentAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Healthcare Equipment And Services</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_HealthcareEquipmentAndServicesMember" xlink:href="obdc-20260331.xsd#obdc_HealthcareEquipmentAndServicesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_HealthcareEquipmentAndServicesMember" xlink:to="lab_obdc_HealthcareEquipmentAndServicesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_TradingArrAxis_terseLabel_en-US" xlink:label="lab_ecd_TradingArrAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Trading Arrangement:</link:label>
    <link:label id="lab_ecd_TradingArrAxis_label_en-US" xlink:label="lab_ecd_TradingArrAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trading Arrangement [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TradingArrAxis" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_TradingArrAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TradingArrAxis" xlink:to="lab_ecd_TradingArrAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_TotalShareholderRtnAmt_terseLabel_en-US" xlink:label="lab_ecd_TotalShareholderRtnAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total Shareholder Return Amount</link:label>
    <link:label id="lab_ecd_TotalShareholderRtnAmt_label_en-US" xlink:label="lab_ecd_TotalShareholderRtnAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Total Shareholder Return Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TotalShareholderRtnAmt" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_TotalShareholderRtnAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TotalShareholderRtnAmt" xlink:to="lab_ecd_TotalShareholderRtnAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_MeasurementInputTransactionPriceMember_019cafa6-136c-72b5-8e52-8da2f92e51c1_terseLabel_en-US" xlink:label="lab_obdc_MeasurementInputTransactionPriceMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transaction Price</link:label>
    <link:label id="lab_obdc_MeasurementInputTransactionPriceMember_label_en-US" xlink:label="lab_obdc_MeasurementInputTransactionPriceMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, Transaction Price [Member]</link:label>
    <link:label id="lab_obdc_MeasurementInputTransactionPriceMember_documentation_en-US" xlink:label="lab_obdc_MeasurementInputTransactionPriceMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement Input, Transaction Price</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_MeasurementInputTransactionPriceMember" xlink:href="obdc-20260331.xsd#obdc_MeasurementInputTransactionPriceMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_MeasurementInputTransactionPriceMember" xlink:to="lab_obdc_MeasurementInputTransactionPriceMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_SecurityExchangeName_019cafa6-136c-7ca5-950f-7d423cdf77db_terseLabel_en-US" xlink:label="lab_dei_SecurityExchangeName" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Security Exchange Name</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_SecurityExchangeName"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_SecurityExchangeName" xlink:to="lab_dei_SecurityExchangeName" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtAndEquitySecuritiesUnrealizedGainLossMember_019cafa6-136c-770b-b98b-83f6313831b8_terseLabel_en-US" xlink:label="lab_obdc_DebtAndEquitySecuritiesUnrealizedGainLossMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net change in unrealized gain (loss)</link:label>
    <link:label id="lab_obdc_DebtAndEquitySecuritiesUnrealizedGainLossMember_label_en-US" xlink:label="lab_obdc_DebtAndEquitySecuritiesUnrealizedGainLossMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt and Equity Securities, Unrealized Gain (Loss) [Member]</link:label>
    <link:label id="lab_obdc_DebtAndEquitySecuritiesUnrealizedGainLossMember_documentation_en-US" xlink:label="lab_obdc_DebtAndEquitySecuritiesUnrealizedGainLossMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt and Equity Securities, Unrealized Gain (Loss)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtAndEquitySecuritiesUnrealizedGainLossMember" xlink:href="obdc-20260331.xsd#obdc_DebtAndEquitySecuritiesUnrealizedGainLossMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtAndEquitySecuritiesUnrealizedGainLossMember" xlink:to="lab_obdc_DebtAndEquitySecuritiesUnrealizedGainLossMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ValuationTechniqueRecentTransactionMember_019cafa6-136c-7b0d-a715-eb336e8a50c4_terseLabel_en-US" xlink:label="lab_obdc_ValuationTechniqueRecentTransactionMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Recent Transaction</link:label>
    <link:label id="lab_obdc_ValuationTechniqueRecentTransactionMember_label_en-US" xlink:label="lab_obdc_ValuationTechniqueRecentTransactionMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation Technique, Recent Transaction [Member]</link:label>
    <link:label id="lab_obdc_ValuationTechniqueRecentTransactionMember_documentation_en-US" xlink:label="lab_obdc_ValuationTechniqueRecentTransactionMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Valuation Technique, Recent Transaction</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ValuationTechniqueRecentTransactionMember" xlink:href="obdc-20260331.xsd#obdc_ValuationTechniqueRecentTransactionMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ValuationTechniqueRecentTransactionMember" xlink:to="lab_obdc_ValuationTechniqueRecentTransactionMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_AdvertisingAndMediaMember_019cafa6-12dd-7461-b443-4735f21071fe_terseLabel_en-US" xlink:label="lab_obdc_AdvertisingAndMediaMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Advertising and media</link:label>
    <link:label id="lab_obdc_AdvertisingAndMediaMember_label_en-US" xlink:label="lab_obdc_AdvertisingAndMediaMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Advertising And Media [Member]</link:label>
    <link:label id="lab_obdc_AdvertisingAndMediaMember_documentation_en-US" xlink:label="lab_obdc_AdvertisingAndMediaMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Advertising And Media</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_AdvertisingAndMediaMember" xlink:href="obdc-20260331.xsd#obdc_AdvertisingAndMediaMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_AdvertisingAndMediaMember" xlink:to="lab_obdc_AdvertisingAndMediaMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_019cafa6-12dd-7988-8fb5-ab0098cabdb7_terseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregate Principal Committed</link:label>
    <link:label id="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_019cafa6-12dd-780a-af31-cb81cb81d496_verboseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Maximum principal amount</link:label>
    <link:label id="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_label_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Maximum Borrowing Capacity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:to="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan_019cafa6-13e3-7069-8f51-2640d40d5e76_terseLabel_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dividend reinvestment plan shares (in shares)</link:label>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan_label_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Issued During Period, Shares, Dividend Reinvestment Plan</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan" xlink:to="lab_us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyMarketValuePerShare_019cafa6-136c-7039-8fcb-b785508d977e_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyMarketValuePerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Per share market value at end of period (in usd per share)</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyMarketValuePerShare_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyMarketValuePerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Market Value, Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyMarketValuePerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyMarketValuePerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyMarketValuePerShare" xlink:to="lab_us-gaap_InvestmentCompanyMarketValuePerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockRepurchasedDuringPeriodShares_019cafa6-136c-748f-b7e8-343e85b996bc_terseLabel_en-US" xlink:label="lab_us-gaap_StockRepurchasedDuringPeriodShares" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Stock repurchased during period (in shares)</link:label>
    <link:label id="lab_us-gaap_StockRepurchasedDuringPeriodShares_019cafa6-136c-7c64-929b-35d3751154ae_verboseLabel_en-US" xlink:label="lab_us-gaap_StockRepurchasedDuringPeriodShares" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Total Number of Shares Repurchased (in shares)</link:label>
    <link:label id="lab_us-gaap_StockRepurchasedDuringPeriodShares_label_en-US" xlink:label="lab_us-gaap_StockRepurchasedDuringPeriodShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Repurchased During Period, Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockRepurchasedDuringPeriodShares" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockRepurchasedDuringPeriodShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockRepurchasedDuringPeriodShares" xlink:to="lab_us-gaap_StockRepurchasedDuringPeriodShares" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OperatingExpensesAbstract_019cafa6-13e3-7b43-88f7-13f805522fba_verboseLabel_en-US" xlink:label="lab_us-gaap_OperatingExpensesAbstract" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Operating Expenses</link:label>
    <link:label id="lab_us-gaap_OperatingExpensesAbstract_label_en-US" xlink:label="lab_us-gaap_OperatingExpensesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Operating Expenses [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingExpensesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingExpensesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingExpensesAbstract" xlink:to="lab_us-gaap_OperatingExpensesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain_019cafa6-13e3-785c-a3bf-7f6161cc10e2_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Asset Class [Domain]</link:label>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain_label_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Asset Class [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain" xlink:to="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtSecuritiesFirstLienMember_019cafa6-12dd-7f07-93c2-e8ad0938fb92_terseLabel_en-US" xlink:label="lab_obdc_DebtSecuritiesFirstLienMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">First-lien senior secured debt investments</link:label>
    <link:label id="lab_obdc_DebtSecuritiesFirstLienMember_label_en-US" xlink:label="lab_obdc_DebtSecuritiesFirstLienMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Securities, First Lien [Member]</link:label>
    <link:label id="lab_obdc_DebtSecuritiesFirstLienMember_documentation_en-US" xlink:label="lab_obdc_DebtSecuritiesFirstLienMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Securities, First Lien</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtSecuritiesFirstLienMember" xlink:href="obdc-20260331.xsd#obdc_DebtSecuritiesFirstLienMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtSecuritiesFirstLienMember" xlink:to="lab_obdc_DebtSecuritiesFirstLienMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1_019cafa6-12dd-7c64-916a-b155735b0648_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net change in unrealized gain (loss) / realized gains (losses)</link:label>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1_label_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" xlink:to="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInIncentiveFeePayable_019cafa6-12dd-77aa-88f8-3615b149aa5f_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInIncentiveFeePayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Increase (decrease) in incentive fee payable</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInIncentiveFeePayable_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInIncentiveFeePayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Incentive Fee Payable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInIncentiveFeePayable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInIncentiveFeePayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInIncentiveFeePayable" xlink:to="lab_us-gaap_IncreaseDecreaseInIncentiveFeePayable" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIClassA1NotesMember_019cafa6-12dd-74eb-8689-4b380e57c2a4_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassA1NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-1 Notes</link:label>
    <link:label id="lab_obdc_CLOVIIClassA1NotesMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassA1NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-1 Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassA1NotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassA1NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-1 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassA1NotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOVIIClassA1NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassA1NotesMember" xlink:to="lab_obdc_CLOVIIClassA1NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StatementLineItems_019cafa6-12dd-7bc5-b98c-244d915741fc_terseLabel_en-US" xlink:label="lab_us-gaap_StatementLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Statement [Line Items]</link:label>
    <link:label id="lab_us-gaap_StatementLineItems_label_en-US" xlink:label="lab_us-gaap_StatementLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statement [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatementLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementLineItems" xlink:to="lab_us-gaap_StatementLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ExtinguishmentOfDebtAmount_019cafa6-136c-7ccc-8f6c-a98f2209ac62_terseLabel_en-US" xlink:label="lab_us-gaap_ExtinguishmentOfDebtAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt repaid</link:label>
    <link:label id="lab_us-gaap_ExtinguishmentOfDebtAmount_label_en-US" xlink:label="lab_us-gaap_ExtinguishmentOfDebtAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Extinguishment of Debt, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ExtinguishmentOfDebtAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ExtinguishmentOfDebtAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ExtinguishmentOfDebtAmount" xlink:to="lab_us-gaap_ExtinguishmentOfDebtAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_Rule10b51ArrAdoptedFlag_terseLabel_en-US" xlink:label="lab_ecd_Rule10b51ArrAdoptedFlag" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Rule 10b5-1 Arrangement Adopted</link:label>
    <link:label id="lab_ecd_Rule10b51ArrAdoptedFlag_label_en-US" xlink:label="lab_ecd_Rule10b51ArrAdoptedFlag" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Rule 10b5-1 Arrangement Adopted [Flag]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_Rule10b51ArrAdoptedFlag" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_Rule10b51ArrAdoptedFlag"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_Rule10b51ArrAdoptedFlag" xlink:to="lab_ecd_Rule10b51ArrAdoptedFlag" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentsAtFairValue_019cafa6-136c-78de-b51a-2fea429d7460_terseLabel_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentsAtFairValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments, at fair value (amortized cost of $4,234,860)</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentsAtFairValue_label_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentsAtFairValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Assets Acquired, Investments, at Fair Value</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentsAtFairValue_documentation_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentsAtFairValue" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Assets Acquired, Investments, at Fair Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentsAtFairValue" xlink:href="obdc-20260331.xsd#obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentsAtFairValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentsAtFairValue" xlink:to="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentsAtFairValue" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsequentEventLineItems_019cafa6-136c-72da-b0fa-e06754dce5e2_terseLabel_en-US" xlink:label="lab_us-gaap_SubsequentEventLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subsequent Event [Line Items]</link:label>
    <link:label id="lab_us-gaap_SubsequentEventLineItems_label_en-US" xlink:label="lab_us-gaap_SubsequentEventLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsequent Event [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsequentEventLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventLineItems" xlink:to="lab_us-gaap_SubsequentEventLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtCommitmentsMember_019cafa6-12dd-79a3-8b87-ae0568eac6ce_terseLabel_en-US" xlink:label="lab_obdc_DebtCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt commitments</link:label>
    <link:label id="lab_obdc_DebtCommitmentsMember_label_en-US" xlink:label="lab_obdc_DebtCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Commitments [Member]</link:label>
    <link:label id="lab_obdc_DebtCommitmentsMember_documentation_en-US" xlink:label="lab_obdc_DebtCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Commitments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtCommitmentsMember" xlink:href="obdc-20260331.xsd#obdc_DebtCommitmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtCommitmentsMember" xlink:to="lab_obdc_DebtCommitmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommonStockMember_019cafa6-136c-7b69-95de-ef9c691111c7_netLabel_en-US" xlink:label="lab_us-gaap_CommonStockMember" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:type="resource" xml:lang="en-US">Common equity investments</link:label>
    <link:label id="lab_us-gaap_CommonStockMember_019cafa6-136c-7e0b-8b5d-9529b441b18f_verboseLabel_en-US" xlink:label="lab_us-gaap_CommonStockMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Common equity investments</link:label>
    <link:label id="lab_us-gaap_CommonStockMember_label_en-US" xlink:label="lab_us-gaap_CommonStockMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Common Stock [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonStockMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockMember" xlink:to="lab_us-gaap_CommonStockMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ScheduleOfSharesDistributedDividendReinvestmentPlanTableTextBlock_019cafa6-12dd-7de0-9158-5f08fb37eb63_terseLabel_en-US" xlink:label="lab_obdc_ScheduleOfSharesDistributedDividendReinvestmentPlanTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Shares Distributed Pursuant to the Dividend Reinvestment Plan</link:label>
    <link:label id="lab_obdc_ScheduleOfSharesDistributedDividendReinvestmentPlanTableTextBlock_label_en-US" xlink:label="lab_obdc_ScheduleOfSharesDistributedDividendReinvestmentPlanTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule Of Shares Distributed, Dividend Reinvestment Plan [Table Text Block]</link:label>
    <link:label id="lab_obdc_ScheduleOfSharesDistributedDividendReinvestmentPlanTableTextBlock_documentation_en-US" xlink:label="lab_obdc_ScheduleOfSharesDistributedDividendReinvestmentPlanTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule Of Shares Distributed, Dividend Reinvestment Plan</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ScheduleOfSharesDistributedDividendReinvestmentPlanTableTextBlock" xlink:href="obdc-20260331.xsd#obdc_ScheduleOfSharesDistributedDividendReinvestmentPlanTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ScheduleOfSharesDistributedDividendReinvestmentPlanTableTextBlock" xlink:to="lab_obdc_ScheduleOfSharesDistributedDividendReinvestmentPlanTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVClassA2RNotesMember_019cafa6-13e2-753e-b593-ef29a29d8a6e_terseLabel_en-US" xlink:label="lab_obdc_CLOVClassA2RNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO V, Class A-2R Notes</link:label>
    <link:label id="lab_obdc_CLOVClassA2RNotesMember_label_en-US" xlink:label="lab_obdc_CLOVClassA2RNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO V, Class A-2R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVClassA2RNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVClassA2RNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO V, Class A-2R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVClassA2RNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOVClassA2RNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVClassA2RNotesMember" xlink:to="lab_obdc_CLOVClassA2RNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIClassAL1LoansMember_019cafa6-136c-7ebb-b54e-47d9fcf30b3c_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassAL1LoansMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L1 Loans</link:label>
    <link:label id="lab_obdc_CLOVIIClassAL1LoansMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassAL1LoansMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L1 Loans [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassAL1LoansMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassAL1LoansMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L1 Loans</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassAL1LoansMember" xlink:href="obdc-20260331.xsd#obdc_CLOVIIClassAL1LoansMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassAL1LoansMember" xlink:to="lab_obdc_CLOVIIClassAL1LoansMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_019cafa6-136c-7eb7-8c41-782726f757af_totalLabel_en-US" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net increase (decrease) in cash and restricted cash, including foreign cash (restricted cash of $(33,929) and $(6,832), respectively)</link:label>
    <link:label id="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_label_en-US" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Period Increase (Decrease), Including Exchange Rate Effect and Discontinued Operation</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect" xlink:to="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SpecialtyFinanceDebtInvestmentsMember_019cafa6-136c-7b3c-9f67-0a2700103a39_terseLabel_en-US" xlink:label="lab_obdc_SpecialtyFinanceDebtInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Specialty finance debt investments</link:label>
    <link:label id="lab_obdc_SpecialtyFinanceDebtInvestmentsMember_label_en-US" xlink:label="lab_obdc_SpecialtyFinanceDebtInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Specialty Finance Debt Investments [Member]</link:label>
    <link:label id="lab_obdc_SpecialtyFinanceDebtInvestmentsMember_documentation_en-US" xlink:label="lab_obdc_SpecialtyFinanceDebtInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Specialty Finance Debt Investments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SpecialtyFinanceDebtInvestmentsMember" xlink:href="obdc-20260331.xsd#obdc_SpecialtyFinanceDebtInvestmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SpecialtyFinanceDebtInvestmentsMember" xlink:to="lab_obdc_SpecialtyFinanceDebtInvestmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ValuationTechniqueRecentTransaction1Member_019cafa6-136c-73a8-be61-e707ce0ef8bf_terseLabel_en-US" xlink:label="lab_obdc_ValuationTechniqueRecentTransaction1Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Recent Transaction 1</link:label>
    <link:label id="lab_obdc_ValuationTechniqueRecentTransaction1Member_label_en-US" xlink:label="lab_obdc_ValuationTechniqueRecentTransaction1Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation Technique, Recent Transaction 1 [Member]</link:label>
    <link:label id="lab_obdc_ValuationTechniqueRecentTransaction1Member_documentation_en-US" xlink:label="lab_obdc_ValuationTechniqueRecentTransaction1Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Valuation Technique, Recent Transaction 1</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ValuationTechniqueRecentTransaction1Member" xlink:href="obdc-20260331.xsd#obdc_ValuationTechniqueRecentTransaction1Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ValuationTechniqueRecentTransaction1Member" xlink:to="lab_obdc_ValuationTechniqueRecentTransaction1Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_UnrealizedGainLossOnInvestments_019cafa6-13e2-785c-9c05-afbae6c71644_totalLabel_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossOnInvestments" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Net Change in Unrealized Gain (Loss)</link:label>
    <link:label id="lab_us-gaap_UnrealizedGainLossOnInvestments_label_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossOnInvestments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unrealized Gain (Loss) on Investments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnrealizedGainLossOnInvestments" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_UnrealizedGainLossOnInvestments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnrealizedGainLossOnInvestments" xlink:to="lab_us-gaap_UnrealizedGainLossOnInvestments" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentCompanyExpenseRatioBeforeExpenseSupportExpenseRecoupmentFeeWaiverAndReimbursements_019cafa6-12dd-7c14-9e56-eb746733c2bd_terseLabel_en-US" xlink:label="lab_obdc_InvestmentCompanyExpenseRatioBeforeExpenseSupportExpenseRecoupmentFeeWaiverAndReimbursements" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Ratio of total expenses to average net assets</link:label>
    <link:label id="lab_obdc_InvestmentCompanyExpenseRatioBeforeExpenseSupportExpenseRecoupmentFeeWaiverAndReimbursements_label_en-US" xlink:label="lab_obdc_InvestmentCompanyExpenseRatioBeforeExpenseSupportExpenseRecoupmentFeeWaiverAndReimbursements" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Expense Ratio Before Expense Support, Expense Recoupment, Fee Waiver And Reimbursements</link:label>
    <link:label id="lab_obdc_InvestmentCompanyExpenseRatioBeforeExpenseSupportExpenseRecoupmentFeeWaiverAndReimbursements_documentation_en-US" xlink:label="lab_obdc_InvestmentCompanyExpenseRatioBeforeExpenseSupportExpenseRecoupmentFeeWaiverAndReimbursements" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Company, Expense Ratio Before Expense Support, Expense Recoupment, Fee Waiver And Reimbursements</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentCompanyExpenseRatioBeforeExpenseSupportExpenseRecoupmentFeeWaiverAndReimbursements" xlink:href="obdc-20260331.xsd#obdc_InvestmentCompanyExpenseRatioBeforeExpenseSupportExpenseRecoupmentFeeWaiverAndReimbursements"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentCompanyExpenseRatioBeforeExpenseSupportExpenseRecoupmentFeeWaiverAndReimbursements" xlink:to="lab_obdc_InvestmentCompanyExpenseRatioBeforeExpenseSupportExpenseRecoupmentFeeWaiverAndReimbursements" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SignificantAccountingPoliciesTextBlock_019cafa6-136c-7b79-9fec-30420f15d2d8_terseLabel_en-US" xlink:label="lab_us-gaap_SignificantAccountingPoliciesTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Significant Accounting Policies</link:label>
    <link:label id="lab_us-gaap_SignificantAccountingPoliciesTextBlock_label_en-US" xlink:label="lab_us-gaap_SignificantAccountingPoliciesTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Significant Accounting Policies [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SignificantAccountingPoliciesTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SignificantAccountingPoliciesTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SignificantAccountingPoliciesTextBlock" xlink:to="lab_us-gaap_SignificantAccountingPoliciesTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_RangeMember_019cafa6-136c-7772-9de6-0bf3d90320ad_terseLabel_en-US" xlink:label="lab_srt_RangeMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Statistical Measurement [Domain]</link:label>
    <link:label id="lab_srt_RangeMember_label_en-US" xlink:label="lab_srt_RangeMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statistical Measurement [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_RangeMember" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_RangeMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_RangeMember" xlink:to="lab_srt_RangeMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyTransactionAxis_019cafa6-136c-7116-9ca5-e58ba4ffd19e_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Axis]</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionAxis_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyTransactionAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionAxis" xlink:to="lab_us-gaap_RelatedPartyTransactionAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_NetDebtAndMiscellaneousDebtInvestmentsMember_019cafa6-12dd-787a-9c34-36a9ab1abf27_terseLabel_en-US" xlink:label="lab_obdc_NetDebtAndMiscellaneousDebtInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Debt And Miscellaneous Debt Investments</link:label>
    <link:label id="lab_obdc_NetDebtAndMiscellaneousDebtInvestmentsMember_label_en-US" xlink:label="lab_obdc_NetDebtAndMiscellaneousDebtInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Debt And Miscellaneous Debt Investments [Member]</link:label>
    <link:label id="lab_obdc_NetDebtAndMiscellaneousDebtInvestmentsMember_documentation_en-US" xlink:label="lab_obdc_NetDebtAndMiscellaneousDebtInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Net Debt And Miscellaneous Debt Investments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_NetDebtAndMiscellaneousDebtInvestmentsMember" xlink:href="obdc-20260331.xsd#obdc_NetDebtAndMiscellaneousDebtInvestmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_NetDebtAndMiscellaneousDebtInvestmentsMember" xlink:to="lab_obdc_NetDebtAndMiscellaneousDebtInvestmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPaymentInKind_019cafa6-136c-72f1-b879-af7353613923_terseLabel_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPaymentInKind" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Payment-in-kind</link:label>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPaymentInKind_label_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPaymentInKind" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Payment-In-Kind</link:label>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPaymentInKind_documentation_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPaymentInKind" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Payment-In-Kind</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPaymentInKind" xlink:href="obdc-20260331.xsd#obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPaymentInKind"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPaymentInKind" xlink:to="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPaymentInKind" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestAndDividendIncomeOperatingPaidInKind_019cafa6-136c-7629-b6dc-6c544d0ed79d_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_InterestAndDividendIncomeOperatingPaidInKind" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">PIK interest and dividends</link:label>
    <link:label id="lab_us-gaap_InterestAndDividendIncomeOperatingPaidInKind_label_en-US" xlink:label="lab_us-gaap_InterestAndDividendIncomeOperatingPaidInKind" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest and Dividend Income, Operating, Paid in Kind</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestAndDividendIncomeOperatingPaidInKind" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InterestAndDividendIncomeOperatingPaidInKind"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestAndDividendIncomeOperatingPaidInKind" xlink:to="lab_us-gaap_InterestAndDividendIncomeOperatingPaidInKind" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueByAssetClassAxis_019cafa6-13e3-719d-86de-ba30d8a85c7d_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueByAssetClassAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Asset Class [Axis]</link:label>
    <link:label id="lab_us-gaap_FairValueByAssetClassAxis_label_en-US" xlink:label="lab_us-gaap_FairValueByAssetClassAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Asset Class [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByAssetClassAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueByAssetClassAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueByAssetClassAxis" xlink:to="lab_us-gaap_FairValueByAssetClassAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DividendIncomeOperatingPaidInCash_019cafa6-136c-75d1-a3aa-ce6eeaa0bc34_terseLabel_en-US" xlink:label="lab_us-gaap_DividendIncomeOperatingPaidInCash" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dividend Income</link:label>
    <link:label id="lab_us-gaap_DividendIncomeOperatingPaidInCash_019cafa6-136c-7edb-8c25-10e162d52181_verboseLabel_en-US" xlink:label="lab_us-gaap_DividendIncomeOperatingPaidInCash" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">PIK Dividend Income</link:label>
    <link:label id="lab_us-gaap_DividendIncomeOperatingPaidInCash_label_en-US" xlink:label="lab_us-gaap_DividendIncomeOperatingPaidInCash" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividend Income, Operating, Paid in Cash</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendIncomeOperatingPaidInCash" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DividendIncomeOperatingPaidInCash"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendIncomeOperatingPaidInCash" xlink:to="lab_us-gaap_DividendIncomeOperatingPaidInCash" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtAndEquitySecuritiesRealizedGainLossMember_019cafa6-12dd-79aa-b2b0-dc20d0df1232_terseLabel_en-US" xlink:label="lab_obdc_DebtAndEquitySecuritiesRealizedGainLossMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net realized gain (loss)</link:label>
    <link:label id="lab_obdc_DebtAndEquitySecuritiesRealizedGainLossMember_label_en-US" xlink:label="lab_obdc_DebtAndEquitySecuritiesRealizedGainLossMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt and Equity Securities, Realized Gain (Loss) [Member]</link:label>
    <link:label id="lab_obdc_DebtAndEquitySecuritiesRealizedGainLossMember_documentation_en-US" xlink:label="lab_obdc_DebtAndEquitySecuritiesRealizedGainLossMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt and Equity Securities, Realized Gain (Loss)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtAndEquitySecuritiesRealizedGainLossMember" xlink:href="obdc-20260331.xsd#obdc_DebtAndEquitySecuritiesRealizedGainLossMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtAndEquitySecuritiesRealizedGainLossMember" xlink:to="lab_obdc_DebtAndEquitySecuritiesRealizedGainLossMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ValuationTechniqueDomain_019cafa6-13e2-7a9e-b19f-068ea5d96cdb_terseLabel_en-US" xlink:label="lab_us-gaap_ValuationTechniqueDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Valuation Approach and Technique [Domain]</link:label>
    <link:label id="lab_us-gaap_ValuationTechniqueDomain_label_en-US" xlink:label="lab_us-gaap_ValuationTechniqueDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation Approach and Technique [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ValuationTechniqueDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ValuationTechniqueDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ValuationTechniqueDomain" xlink:to="lab_us-gaap_ValuationTechniqueDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestRateSwapMember_019cafa6-13e2-77bd-9dcf-7a3b8fd90ddf_terseLabel_en-US" xlink:label="lab_us-gaap_InterestRateSwapMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest rate swaps</link:label>
    <link:label id="lab_us-gaap_InterestRateSwapMember_label_en-US" xlink:label="lab_us-gaap_InterestRateSwapMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Rate Swap [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestRateSwapMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InterestRateSwapMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestRateSwapMember" xlink:to="lab_us-gaap_InterestRateSwapMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtPolicyTextBlock_019cafa6-13e2-78d6-a09c-b138232bbb32_terseLabel_en-US" xlink:label="lab_us-gaap_DebtPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Issuance Costs</link:label>
    <link:label id="lab_us-gaap_DebtPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_DebtPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtPolicyTextBlock" xlink:to="lab_us-gaap_DebtPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued_019cafa6-136c-7198-a1e4-7b1061b7b3a0_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregate of shares in company (in shares)</link:label>
    <link:label id="lab_us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued_label_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Consideration Transferred, Equity Interest, Share Issued, Number of Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued" xlink:to="lab_us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DividendsDeclaredTableTextBlock_019cafa6-136c-7979-884a-2de55290be16_terseLabel_en-US" xlink:label="lab_us-gaap_DividendsDeclaredTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Distributions Declared</link:label>
    <link:label id="lab_us-gaap_DividendsDeclaredTableTextBlock_label_en-US" xlink:label="lab_us-gaap_DividendsDeclaredTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividends Declared [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendsDeclaredTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DividendsDeclaredTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendsDeclaredTableTextBlock" xlink:to="lab_us-gaap_DividendsDeclaredTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_TradingArrByIndTable_terseLabel_en-US" xlink:label="lab_ecd_TradingArrByIndTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Trading Arrangements, by Individual</link:label>
    <link:label id="lab_ecd_TradingArrByIndTable_label_en-US" xlink:label="lab_ecd_TradingArrByIndTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trading Arrangements, by Individual [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TradingArrByIndTable" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_TradingArrByIndTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TradingArrByIndTable" xlink:to="lab_ecd_TradingArrByIndTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EarningsPerShareBasic_019cafa6-13e2-7396-bfa8-09afd693fd47_verboseLabel_en-US" xlink:label="lab_us-gaap_EarningsPerShareBasic" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Earnings Per Share - Basic (in usd per share)</link:label>
    <link:label id="lab_us-gaap_EarningsPerShareBasic_019cafa6-13e2-742e-b09f-c18619ffa5be_terseLabel_en-US" xlink:label="lab_us-gaap_EarningsPerShareBasic" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Earnings per common share-basic (in usd per share)</link:label>
    <link:label id="lab_us-gaap_EarningsPerShareBasic_label_en-US" xlink:label="lab_us-gaap_EarningsPerShareBasic" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Earnings Per Share, Basic</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareBasic" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EarningsPerShareBasic"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EarningsPerShareBasic" xlink:to="lab_us-gaap_EarningsPerShareBasic" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentCompanyTaxExpenseBenefitForTaxableSubsidiaries_019cafa6-136c-7f04-a75b-70ea1936e341_terseLabel_en-US" xlink:label="lab_obdc_InvestmentCompanyTaxExpenseBenefitForTaxableSubsidiaries" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Tax expense for taxable subsidiaries</link:label>
    <link:label id="lab_obdc_InvestmentCompanyTaxExpenseBenefitForTaxableSubsidiaries_label_en-US" xlink:label="lab_obdc_InvestmentCompanyTaxExpenseBenefitForTaxableSubsidiaries" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Tax Expense (Benefit) For Taxable Subsidiaries</link:label>
    <link:label id="lab_obdc_InvestmentCompanyTaxExpenseBenefitForTaxableSubsidiaries_documentation_en-US" xlink:label="lab_obdc_InvestmentCompanyTaxExpenseBenefitForTaxableSubsidiaries" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Company, Tax Expense (Benefit) For Taxable Subsidiaries</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentCompanyTaxExpenseBenefitForTaxableSubsidiaries" xlink:href="obdc-20260331.xsd#obdc_InvestmentCompanyTaxExpenseBenefitForTaxableSubsidiaries"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentCompanyTaxExpenseBenefitForTaxableSubsidiaries" xlink:to="lab_obdc_InvestmentCompanyTaxExpenseBenefitForTaxableSubsidiaries" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MeasurementInputDiscountRateMember_019cafa6-136c-738e-9c2c-7d969ac71621_terseLabel_en-US" xlink:label="lab_us-gaap_MeasurementInputDiscountRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Discounted Factor</link:label>
    <link:label id="lab_us-gaap_MeasurementInputDiscountRateMember_label_en-US" xlink:label="lab_us-gaap_MeasurementInputDiscountRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, Discount Rate [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MeasurementInputDiscountRateMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MeasurementInputDiscountRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MeasurementInputDiscountRateMember" xlink:to="lab_us-gaap_MeasurementInputDiscountRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_A2026StockRepurchaseProgramMember_019cafa6-13e3-7c0f-a371-9c8e0c0bdfbb_terseLabel_en-US" xlink:label="lab_obdc_A2026StockRepurchaseProgramMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2026 Stock Repurchase Program</link:label>
    <link:label id="lab_obdc_A2026StockRepurchaseProgramMember_label_en-US" xlink:label="lab_obdc_A2026StockRepurchaseProgramMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">2026 Stock Repurchase Program [Member]</link:label>
    <link:label id="lab_obdc_A2026StockRepurchaseProgramMember_documentation_en-US" xlink:label="lab_obdc_A2026StockRepurchaseProgramMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">2026 Stock Repurchase Program</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_A2026StockRepurchaseProgramMember" xlink:href="obdc-20260331.xsd#obdc_A2026StockRepurchaseProgramMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_A2026StockRepurchaseProgramMember" xlink:to="lab_obdc_A2026StockRepurchaseProgramMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet_019cafa6-12dd-751b-a7f3-7dd036160fca_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">(Increase) decrease in interest and dividend receivable</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Accrued Interest Receivable, Net</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet" xlink:to="lab_us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MeasurementInputEbitdaMultipleMember_019cafa6-13e3-7223-a7da-964647cfa3b1_terseLabel_en-US" xlink:label="lab_us-gaap_MeasurementInputEbitdaMultipleMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">EBITDA Multiple</link:label>
    <link:label id="lab_us-gaap_MeasurementInputEbitdaMultipleMember_label_en-US" xlink:label="lab_us-gaap_MeasurementInputEbitdaMultipleMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, EBITDA Multiple [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MeasurementInputEbitdaMultipleMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MeasurementInputEbitdaMultipleMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MeasurementInputEbitdaMultipleMember" xlink:to="lab_us-gaap_MeasurementInputEbitdaMultipleMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MeasurementInputTypeDomain_019cafa6-13e2-798d-81bc-a54612cc0b37_terseLabel_en-US" xlink:label="lab_us-gaap_MeasurementInputTypeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Measurement Input Type [Domain]</link:label>
    <link:label id="lab_us-gaap_MeasurementInputTypeDomain_label_en-US" xlink:label="lab_us-gaap_MeasurementInputTypeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input Type [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MeasurementInputTypeDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MeasurementInputTypeDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MeasurementInputTypeDomain" xlink:to="lab_us-gaap_MeasurementInputTypeDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_MeasurementInputGrossProfitMultipleMember_019cafa6-136c-7c26-b9eb-59abe9509c3d_terseLabel_en-US" xlink:label="lab_obdc_MeasurementInputGrossProfitMultipleMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Gross Profit Multiple</link:label>
    <link:label id="lab_obdc_MeasurementInputGrossProfitMultipleMember_label_en-US" xlink:label="lab_obdc_MeasurementInputGrossProfitMultipleMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, Gross Profit Multiple [Member]</link:label>
    <link:label id="lab_obdc_MeasurementInputGrossProfitMultipleMember_documentation_en-US" xlink:label="lab_obdc_MeasurementInputGrossProfitMultipleMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement Input, Gross Profit Multiple</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_MeasurementInputGrossProfitMultipleMember" xlink:href="obdc-20260331.xsd#obdc_MeasurementInputGrossProfitMultipleMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_MeasurementInputGrossProfitMultipleMember" xlink:to="lab_obdc_MeasurementInputGrossProfitMultipleMember" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_AffiliatedEntityMember_019cafa6-136c-76d6-9d21-2b48476b76db_terseLabel_en-US" xlink:label="lab_srt_AffiliatedEntityMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Affiliated entity</link:label>
    <link:label id="lab_srt_AffiliatedEntityMember_label_en-US" xlink:label="lab_srt_AffiliatedEntityMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Affiliated Entity [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_AffiliatedEntityMember" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_AffiliatedEntityMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_AffiliatedEntityMember" xlink:to="lab_srt_AffiliatedEntityMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss_019cafa6-136c-7d47-a5dd-8a4d8280f450_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net change in unrealized gain (loss)</link:label>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss_label_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Asset, Recurring Basis, Still Held, Unrealized Gain (Loss)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss"/>
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    <link:label id="lab_ecd_AwardTmgMnpiDiscTextBlock_terseLabel_en-US" xlink:label="lab_ecd_AwardTmgMnpiDiscTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Award Timing MNPI Disclosure</link:label>
    <link:label id="lab_ecd_AwardTmgMnpiDiscTextBlock_label_en-US" xlink:label="lab_ecd_AwardTmgMnpiDiscTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Timing MNPI Disclosure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardTmgMnpiDiscTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AwardTmgMnpiDiscTextBlock"/>
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    <link:label id="lab_obdc_CLOIClassANRNotesMember_019cafa6-136c-729e-81b1-f6d0d967a161_terseLabel_en-US" xlink:label="lab_obdc_CLOIClassANRNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I, Class A-NR Notes</link:label>
    <link:label id="lab_obdc_CLOIClassANRNotesMember_label_en-US" xlink:label="lab_obdc_CLOIClassANRNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I, Class A-NR Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIClassANRNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIClassANRNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I, Class A-NR Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIClassANRNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOIClassANRNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIClassANRNotesMember" xlink:to="lab_obdc_CLOIClassANRNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherGeneralAndAdministrativeExpense_019cafa6-136c-7163-b9f8-551d90814ba2_terseLabel_en-US" xlink:label="lab_us-gaap_OtherGeneralAndAdministrativeExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other general and administrative</link:label>
    <link:label id="lab_us-gaap_OtherGeneralAndAdministrativeExpense_label_en-US" xlink:label="lab_us-gaap_OtherGeneralAndAdministrativeExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other General and Administrative Expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherGeneralAndAdministrativeExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherGeneralAndAdministrativeExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherGeneralAndAdministrativeExpense" xlink:to="lab_us-gaap_OtherGeneralAndAdministrativeExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyThresholdMember_019cafa6-13e3-7976-bad8-5afc564f7d22_terseLabel_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyThresholdMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement - Incentive Rate, Quarterly Threshold</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyThresholdMember_label_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyThresholdMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement - Incentive Rate, Quarterly Threshold [Member]</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyThresholdMember_documentation_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyThresholdMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement - Incentive Rate, Quarterly Threshold</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyThresholdMember" xlink:href="obdc-20260331.xsd#obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyThresholdMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyThresholdMember" xlink:to="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateQuarterlyThresholdMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeInstrumentsGainLossLineItems_019cafa6-12dd-7d85-a3dc-fda729049386_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Instruments, Gain (Loss) [Line Items]</link:label>
    <link:label id="lab_us-gaap_DerivativeInstrumentsGainLossLineItems_label_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Instruments, Gain (Loss) [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeInstrumentsGainLossLineItems"/>
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    <link:label id="lab_us-gaap_HedgingDesignationDomain_label_en-US" xlink:label="lab_us-gaap_HedgingDesignationDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Hedging Designation [Domain]</link:label>
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    <link:label id="lab_obdc_CLOIClassBNotesMember_label_en-US" xlink:label="lab_obdc_CLOIClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I, Class B Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIClassBNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I, Class B Notes</link:label>
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    <link:label id="lab_obdc_CommitmentToIndirectlyOwnedSubsidiaryMember_label_en-US" xlink:label="lab_obdc_CommitmentToIndirectlyOwnedSubsidiaryMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Commitment To Indirectly Owned Subsidiary [Member]</link:label>
    <link:label id="lab_obdc_CommitmentToIndirectlyOwnedSubsidiaryMember_documentation_en-US" xlink:label="lab_obdc_CommitmentToIndirectlyOwnedSubsidiaryMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Commitment To Indirectly Owned Subsidiary</link:label>
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    <link:label id="lab_obdc_CLOIClassALRNotesMember_label_en-US" xlink:label="lab_obdc_CLOIClassALRNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I, Class A-LR Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIClassALRNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIClassALRNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I, Class A-LR Notes</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_obdc_TwoThousandTwentyEightNotesMember" xlink:href="obdc-20260331.xsd#obdc_TwoThousandTwentyEightNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_TwoThousandTwentyEightNotesMember" xlink:to="lab_obdc_TwoThousandTwentyEightNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AccountingPoliciesAbstract_019cafa6-136c-7645-a613-1747cd6ec227_terseLabel_en-US" xlink:label="lab_us-gaap_AccountingPoliciesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accounting Policies [Abstract]</link:label>
    <link:label id="lab_us-gaap_AccountingPoliciesAbstract_label_en-US" xlink:label="lab_us-gaap_AccountingPoliciesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Accounting Policies [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountingPoliciesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccountingPoliciesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AccountingPoliciesAbstract" xlink:to="lab_us-gaap_AccountingPoliciesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ConcentrationRiskTypeDomain_019cafa6-12dd-719b-b278-43f2a9ecaf5b_terseLabel_en-US" xlink:label="lab_us-gaap_ConcentrationRiskTypeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Concentration Risk Type [Domain]</link:label>
    <link:label id="lab_us-gaap_ConcentrationRiskTypeDomain_label_en-US" xlink:label="lab_us-gaap_ConcentrationRiskTypeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Concentration Risk Type [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConcentrationRiskTypeDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ConcentrationRiskTypeDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ConcentrationRiskTypeDomain" xlink:to="lab_us-gaap_ConcentrationRiskTypeDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CashNotHeldInForeignCurrency_019cafa6-13e3-7817-acd2-ef40a3ffd822_terseLabel_en-US" xlink:label="lab_us-gaap_CashNotHeldInForeignCurrency" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash (restricted cash of $13,519 and $47,448, respectively)</link:label>
    <link:label id="lab_us-gaap_CashNotHeldInForeignCurrency_019cafa6-13e3-70ec-a08a-231d3509f037_verboseLabel_en-US" xlink:label="lab_us-gaap_CashNotHeldInForeignCurrency" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Cash</link:label>
    <link:label id="lab_us-gaap_CashNotHeldInForeignCurrency_label_en-US" xlink:label="lab_us-gaap_CashNotHeldInForeignCurrency" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash and Cash Equivalent, Not Held in Foreign Currency</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashNotHeldInForeignCurrency" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashNotHeldInForeignCurrency"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashNotHeldInForeignCurrency" xlink:to="lab_us-gaap_CashNotHeldInForeignCurrency" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DividendsPayableLineItems_019cafa6-12dd-776d-87bf-fe21e275c6c1_terseLabel_en-US" xlink:label="lab_us-gaap_DividendsPayableLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dividends Payable [Line Items]</link:label>
    <link:label id="lab_us-gaap_DividendsPayableLineItems_label_en-US" xlink:label="lab_us-gaap_DividendsPayableLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividends Payable [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendsPayableLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DividendsPayableLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendsPayableLineItems" xlink:to="lab_us-gaap_DividendsPayableLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_LineOfCreditFacilityMaximumBorrowingCapacityIncludingAccordionFeature_019cafa6-136c-7637-b7e1-502a1cd40451_terseLabel_en-US" xlink:label="lab_obdc_LineOfCreditFacilityMaximumBorrowingCapacityIncludingAccordionFeature" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Line of credit facility, including the accordion feature</link:label>
    <link:label id="lab_obdc_LineOfCreditFacilityMaximumBorrowingCapacityIncludingAccordionFeature_label_en-US" xlink:label="lab_obdc_LineOfCreditFacilityMaximumBorrowingCapacityIncludingAccordionFeature" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Maximum Borrowing Capacity, Including Accordion Feature</link:label>
    <link:label id="lab_obdc_LineOfCreditFacilityMaximumBorrowingCapacityIncludingAccordionFeature_documentation_en-US" xlink:label="lab_obdc_LineOfCreditFacilityMaximumBorrowingCapacityIncludingAccordionFeature" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Maximum Borrowing Capacity, Including Accordion Feature</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_LineOfCreditFacilityMaximumBorrowingCapacityIncludingAccordionFeature" xlink:href="obdc-20260331.xsd#obdc_LineOfCreditFacilityMaximumBorrowingCapacityIncludingAccordionFeature"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_LineOfCreditFacilityMaximumBorrowingCapacityIncludingAccordionFeature" xlink:to="lab_obdc_LineOfCreditFacilityMaximumBorrowingCapacityIncludingAccordionFeature" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_HumanResourceSupportServicesMember_019cafa6-136c-7c64-aa8c-1ae755d9ae77_terseLabel_en-US" xlink:label="lab_obdc_HumanResourceSupportServicesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Human resource support services</link:label>
    <link:label id="lab_obdc_HumanResourceSupportServicesMember_label_en-US" xlink:label="lab_obdc_HumanResourceSupportServicesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Human Resource Support Services [Member]</link:label>
    <link:label id="lab_obdc_HumanResourceSupportServicesMember_documentation_en-US" xlink:label="lab_obdc_HumanResourceSupportServicesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Human Resource Support Services</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_HumanResourceSupportServicesMember" xlink:href="obdc-20260331.xsd#obdc_HumanResourceSupportServicesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_HumanResourceSupportServicesMember" xlink:to="lab_obdc_HumanResourceSupportServicesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_PayVsPerformanceDisclosureLineItems_label_en-US" xlink:label="lab_ecd_PayVsPerformanceDisclosureLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Pay vs Performance Disclosure [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PayVsPerformanceDisclosureLineItems" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_PayVsPerformanceDisclosureLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PayVsPerformanceDisclosureLineItems" xlink:to="lab_ecd_PayVsPerformanceDisclosureLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BusinessAcquisitionPercentageOfFeeAndExpensesReimbursed_019cafa6-136c-7bb6-9be2-7ea6137021c8_terseLabel_en-US" xlink:label="lab_obdc_BusinessAcquisitionPercentageOfFeeAndExpensesReimbursed" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage of fee and expenses reimbursed</link:label>
    <link:label id="lab_obdc_BusinessAcquisitionPercentageOfFeeAndExpensesReimbursed_label_en-US" xlink:label="lab_obdc_BusinessAcquisitionPercentageOfFeeAndExpensesReimbursed" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Acquisition, Percentage Of Fee And Expenses Reimbursed</link:label>
    <link:label id="lab_obdc_BusinessAcquisitionPercentageOfFeeAndExpensesReimbursed_documentation_en-US" xlink:label="lab_obdc_BusinessAcquisitionPercentageOfFeeAndExpensesReimbursed" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Business Acquisition, Percentage Of Fee And Expenses Reimbursed</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BusinessAcquisitionPercentageOfFeeAndExpensesReimbursed" xlink:href="obdc-20260331.xsd#obdc_BusinessAcquisitionPercentageOfFeeAndExpensesReimbursed"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BusinessAcquisitionPercentageOfFeeAndExpensesReimbursed" xlink:to="lab_obdc_BusinessAcquisitionPercentageOfFeeAndExpensesReimbursed" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax_019cafa6-13e2-79e0-86b2-b7e83ac7b456_terseLabel_en-US" xlink:label="lab_us-gaap_RealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net realized gain (loss)</link:label>
    <link:label id="lab_us-gaap_RealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax_label_en-US" xlink:label="lab_us-gaap_RealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Realized Gain (Loss), Investment, Derivative, and Foreign Currency Transaction Price Change, Operating, before Tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax" xlink:to="lab_us-gaap_RealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LiabilitiesAbstract_019cafa6-136c-7f81-a001-b73e0473e7b4_verboseLabel_en-US" xlink:label="lab_us-gaap_LiabilitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Liabilities</link:label>
    <link:label id="lab_us-gaap_LiabilitiesAbstract_label_en-US" xlink:label="lab_us-gaap_LiabilitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Liabilities [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilitiesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LiabilitiesAbstract" xlink:to="lab_us-gaap_LiabilitiesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeMember_019cafa6-136c-772d-ade5-91c33f29b5b9_terseLabel_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Management Fee</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeMember_label_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Management Fee [Member]</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeMember_documentation_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Management Fee</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentAdvisoryAgreementManagementFeeMember" xlink:href="obdc-20260331.xsd#obdc_InvestmentAdvisoryAgreementManagementFeeMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentAdvisoryAgreementManagementFeeMember" xlink:to="lab_obdc_InvestmentAdvisoryAgreementManagementFeeMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_EuroInterbankOfferedRateMember_019cafa6-136c-76f5-86c3-6d62d993334a_terseLabel_en-US" xlink:label="lab_obdc_EuroInterbankOfferedRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">EURIBOR Plus</link:label>
    <link:label id="lab_obdc_EuroInterbankOfferedRateMember_label_en-US" xlink:label="lab_obdc_EuroInterbankOfferedRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Euro Interbank Offered Rate [Member]</link:label>
    <link:label id="lab_obdc_EuroInterbankOfferedRateMember_documentation_en-US" xlink:label="lab_obdc_EuroInterbankOfferedRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Euro Interbank Offered Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_EuroInterbankOfferedRateMember" xlink:href="obdc-20260331.xsd#obdc_EuroInterbankOfferedRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_EuroInterbankOfferedRateMember" xlink:to="lab_obdc_EuroInterbankOfferedRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockRedeemedOrCalledDuringPeriodShares_019cafa6-13e3-709e-8558-546f7df0548a_terseLabel_en-US" xlink:label="lab_us-gaap_StockRedeemedOrCalledDuringPeriodShares" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Shares redeemed (in shares)</link:label>
    <link:label id="lab_us-gaap_StockRedeemedOrCalledDuringPeriodShares_label_en-US" xlink:label="lab_us-gaap_StockRedeemedOrCalledDuringPeriodShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Redeemed or Called During Period, Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockRedeemedOrCalledDuringPeriodShares" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockRedeemedOrCalledDuringPeriodShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockRedeemedOrCalledDuringPeriodShares" xlink:to="lab_us-gaap_StockRedeemedOrCalledDuringPeriodShares" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIVIssuerMember_019cafa6-13e3-7dc9-985e-65db08cffed7_terseLabel_en-US" xlink:label="lab_obdc_CLOIVIssuerMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO IV Issuer</link:label>
    <link:label id="lab_obdc_CLOIVIssuerMember_label_en-US" xlink:label="lab_obdc_CLOIVIssuerMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO IV Issuer [Member]</link:label>
    <link:label id="lab_obdc_CLOIVIssuerMember_documentation_en-US" xlink:label="lab_obdc_CLOIVIssuerMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO IV Issuer</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIVIssuerMember" xlink:href="obdc-20260331.xsd#obdc_CLOIVIssuerMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIVIssuerMember" xlink:to="lab_obdc_CLOIVIssuerMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_019cafa6-12dd-792d-9d45-20a8d6294654_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]</link:label>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_label_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward" xlink:to="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1_019cafa6-136c-7c1d-a233-9067be12a3ca_terseLabel_en-US" xlink:label="lab_us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net change in unrealized (gain) loss on effective interest rate swaps and hedged items included in interest expense</link:label>
    <link:label id="lab_us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1_label_en-US" xlink:label="lab_us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Change in Unrealized Gain (Loss) on Hedged Item in Fair Value Hedge</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1" xlink:to="lab_us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StatementOfCashFlowsAbstract_label_en-US" xlink:label="lab_us-gaap_StatementOfCashFlowsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statement of Cash Flows [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOfCashFlowsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatementOfCashFlowsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementOfCashFlowsAbstract" xlink:to="lab_us-gaap_StatementOfCashFlowsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_CoSelectedMeasureAmt_terseLabel_en-US" xlink:label="lab_ecd_CoSelectedMeasureAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Company Selected Measure Amount</link:label>
    <link:label id="lab_ecd_CoSelectedMeasureAmt_label_en-US" xlink:label="lab_ecd_CoSelectedMeasureAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Company Selected Measure Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_CoSelectedMeasureAmt" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_CoSelectedMeasureAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_CoSelectedMeasureAmt" xlink:to="lab_ecd_CoSelectedMeasureAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MeasurementInputTypeAxis_019cafa6-12dd-7676-983c-db867e553703_terseLabel_en-US" xlink:label="lab_us-gaap_MeasurementInputTypeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Measurement Input Type [Axis]</link:label>
    <link:label id="lab_us-gaap_MeasurementInputTypeAxis_label_en-US" xlink:label="lab_us-gaap_MeasurementInputTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input Type [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MeasurementInputTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MeasurementInputTypeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MeasurementInputTypeAxis" xlink:to="lab_us-gaap_MeasurementInputTypeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentIssuerAffiliationAxis_019cafa6-136c-7cbd-b911-04cc1ca9821a_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentIssuerAffiliationAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment, Issuer Affiliation [Axis]</link:label>
    <link:label id="lab_us-gaap_InvestmentIssuerAffiliationAxis_label_en-US" xlink:label="lab_us-gaap_InvestmentIssuerAffiliationAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Issuer Affiliation [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIssuerAffiliationAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIssuerAffiliationAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIssuerAffiliationAxis" xlink:to="lab_us-gaap_InvestmentIssuerAffiliationAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_MeasureName_terseLabel_en-US" xlink:label="lab_ecd_MeasureName" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Name</link:label>
    <link:label id="lab_ecd_MeasureName_label_en-US" xlink:label="lab_ecd_MeasureName" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measure Name</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_MeasureName" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_MeasureName"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_MeasureName" xlink:to="lab_ecd_MeasureName" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SecuredDebtMember_019cafa6-12dd-7e79-bc31-e84bcde097d4_verboseLabel_en-US" xlink:label="lab_us-gaap_SecuredDebtMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Secured debt</link:label>
    <link:label id="lab_us-gaap_SecuredDebtMember_019cafa6-12dd-7913-93ab-11e773f84dd4_terseLabel_en-US" xlink:label="lab_us-gaap_SecuredDebtMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Secured Debt</link:label>
    <link:label id="lab_us-gaap_SecuredDebtMember_label_en-US" xlink:label="lab_us-gaap_SecuredDebtMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Secured Debt [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SecuredDebtMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SecuredDebtMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SecuredDebtMember" xlink:to="lab_us-gaap_SecuredDebtMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentThresholdAxis_019cafa6-12dd-7058-9991-764b082e513a_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentThresholdAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Instrument Threshold [Axis]</link:label>
    <link:label id="lab_obdc_DebtInstrumentThresholdAxis_label_en-US" xlink:label="lab_obdc_DebtInstrumentThresholdAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument Threshold [Axis]</link:label>
    <link:label id="lab_obdc_DebtInstrumentThresholdAxis_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentThresholdAxis" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument Threshold</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentThresholdAxis" xlink:href="obdc-20260331.xsd#obdc_DebtInstrumentThresholdAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentThresholdAxis" xlink:to="lab_obdc_DebtInstrumentThresholdAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EquitySecuritiesIndustryMember_019cafa6-13e3-7e36-b769-66742928f12b_terseLabel_en-US" xlink:label="lab_us-gaap_EquitySecuritiesIndustryMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Industry Sector [Domain]</link:label>
    <link:label id="lab_us-gaap_EquitySecuritiesIndustryMember_label_en-US" xlink:label="lab_us-gaap_EquitySecuritiesIndustryMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Industry Sector [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquitySecuritiesIndustryMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquitySecuritiesIndustryMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquitySecuritiesIndustryMember" xlink:to="lab_us-gaap_EquitySecuritiesIndustryMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_RepurchaseProgram2026Member_019d9aca-0211-7956-9744-a248ae14b01f_terseLabel_en-US" xlink:label="lab_obdc_RepurchaseProgram2026Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Repurchase Program 2026</link:label>
    <link:label id="lab_obdc_RepurchaseProgram2026Member_label_en-US" xlink:label="lab_obdc_RepurchaseProgram2026Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Repurchase Program 2026 [Member]</link:label>
    <link:label id="lab_obdc_RepurchaseProgram2026Member_documentation_en-US" xlink:label="lab_obdc_RepurchaseProgram2026Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Repurchase Program 2026</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_RepurchaseProgram2026Member" xlink:href="obdc-20260331.xsd#obdc_RepurchaseProgram2026Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_RepurchaseProgram2026Member" xlink:to="lab_obdc_RepurchaseProgram2026Member" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVClassA1NotesMember_019cafa6-136c-7372-9cfa-8ae955edc1d6_terseLabel_en-US" xlink:label="lab_obdc_CLOVClassA1NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO V, Class A-1 Notes</link:label>
    <link:label id="lab_obdc_CLOVClassA1NotesMember_label_en-US" xlink:label="lab_obdc_CLOVClassA1NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO V, Class A-1 Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVClassA1NotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVClassA1NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO V, Class A-1 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVClassA1NotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOVClassA1NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVClassA1NotesMember" xlink:to="lab_obdc_CLOVClassA1NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_GoldmanSachsBankUSAMember_019dafeb-ad9b-7517-abb8-66695dab2427_terseLabel_en-US" xlink:label="lab_obdc_GoldmanSachsBankUSAMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Goldman Sachs Bank USA</link:label>
    <link:label id="lab_obdc_GoldmanSachsBankUSAMember_label_en-US" xlink:label="lab_obdc_GoldmanSachsBankUSAMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Goldman Sachs Bank USA [Member]</link:label>
    <link:label id="lab_obdc_GoldmanSachsBankUSAMember_documentation_en-US" xlink:label="lab_obdc_GoldmanSachsBankUSAMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Goldman Sachs Bank USA</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_GoldmanSachsBankUSAMember" xlink:href="obdc-20260331.xsd#obdc_GoldmanSachsBankUSAMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_GoldmanSachsBankUSAMember" xlink:to="lab_obdc_GoldmanSachsBankUSAMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVClassC1NotesMember_019cafa6-13e2-759f-aff9-611a25991367_terseLabel_en-US" xlink:label="lab_obdc_CLOVClassC1NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO V, Class C-1 Notes</link:label>
    <link:label id="lab_obdc_CLOVClassC1NotesMember_label_en-US" xlink:label="lab_obdc_CLOVClassC1NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO V, Class C-1 Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVClassC1NotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVClassC1NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO V, Class C-1 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVClassC1NotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOVClassC1NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVClassC1NotesMember" xlink:to="lab_obdc_CLOVClassC1NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIIClassA1LNotesMember_019cafa6-136c-7f60-93b4-09dba1ec623c_terseLabel_en-US" xlink:label="lab_obdc_CLOIIIClassA1LNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO III, Class A-1L Notes</link:label>
    <link:label id="lab_obdc_CLOIIIClassA1LNotesMember_label_en-US" xlink:label="lab_obdc_CLOIIIClassA1LNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO III, Class A-1L Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIIIClassA1LNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIIIClassA1LNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO III, Class A-1L Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIIClassA1LNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOIIIClassA1LNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIIClassA1LNotesMember" xlink:to="lab_obdc_CLOIIIClassA1LNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_UnsecuredDebtMember_019cafa6-136c-7059-9b0d-4d08d03570e5_verboseLabel_en-US" xlink:label="lab_us-gaap_UnsecuredDebtMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Unsecured debt investments</link:label>
    <link:label id="lab_us-gaap_UnsecuredDebtMember_019cafa6-136c-7ed8-9410-a0b7f0f4a6bd_terseLabel_en-US" xlink:label="lab_us-gaap_UnsecuredDebtMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unsecured Debt</link:label>
    <link:label id="lab_us-gaap_UnsecuredDebtMember_label_en-US" xlink:label="lab_us-gaap_UnsecuredDebtMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unsecured Debt [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnsecuredDebtMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_UnsecuredDebtMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnsecuredDebtMember" xlink:to="lab_us-gaap_UnsecuredDebtMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InterestRateSwap2029NotesMember_019cafa6-13e3-770f-a8ef-abd38ba81aff_terseLabel_en-US" xlink:label="lab_obdc_InterestRateSwap2029NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest Rate Swap, 2029 Notes</link:label>
    <link:label id="lab_obdc_InterestRateSwap2029NotesMember_label_en-US" xlink:label="lab_obdc_InterestRateSwap2029NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Rate Swap, 2029 Notes [Member]</link:label>
    <link:label id="lab_obdc_InterestRateSwap2029NotesMember_documentation_en-US" xlink:label="lab_obdc_InterestRateSwap2029NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest Rate Swap, 2029 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InterestRateSwap2029NotesMember" xlink:href="obdc-20260331.xsd#obdc_InterestRateSwap2029NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InterestRateSwap2029NotesMember" xlink:to="lab_obdc_InterestRateSwap2029NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongTermDebt_019cafa6-136c-7f11-8c1c-b10d35c0648d_terseLabel_en-US" xlink:label="lab_us-gaap_LongTermDebt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt (net of unamortized debt issuance costs of $95,244 and $93,186, respectively)</link:label>
    <link:label id="lab_us-gaap_LongTermDebt_019cafa6-136c-7d7d-99de-800aae562140_verboseLabel_en-US" xlink:label="lab_us-gaap_LongTermDebt" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Total Debt (net of unamortized debt issuance costs)</link:label>
    <link:label id="lab_us-gaap_LongTermDebt_019cafa6-136c-797d-89b6-4de447ff86a3_netLabel_en-US" xlink:label="lab_us-gaap_LongTermDebt" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:type="resource" xml:lang="en-US">Debt</link:label>
    <link:label id="lab_us-gaap_LongTermDebt_label_en-US" xlink:label="lab_us-gaap_LongTermDebt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Long-Term Debt</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LongTermDebt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongTermDebt" xlink:to="lab_us-gaap_LongTermDebt" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_LegalEntityAxis_019cafa6-12dd-78ca-9ec4-b8e5166d9ecf_terseLabel_en-US" xlink:label="lab_dei_LegalEntityAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Legal Entity [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LegalEntityAxis" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_LegalEntityAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_LegalEntityAxis" xlink:to="lab_dei_LegalEntityAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ThreeMonthCORRAMember_019cafa6-12dd-78ef-a84d-5ae333921674_terseLabel_en-US" xlink:label="lab_obdc_ThreeMonthCORRAMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subject to 3 month CORRA</link:label>
    <link:label id="lab_obdc_ThreeMonthCORRAMember_label_en-US" xlink:label="lab_obdc_ThreeMonthCORRAMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Three Month CORRA [Member]</link:label>
    <link:label id="lab_obdc_ThreeMonthCORRAMember_documentation_en-US" xlink:label="lab_obdc_ThreeMonthCORRAMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Three Month CORRA</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ThreeMonthCORRAMember" xlink:href="obdc-20260331.xsd#obdc_ThreeMonthCORRAMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ThreeMonthCORRAMember" xlink:to="lab_obdc_ThreeMonthCORRAMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_Assets_019cafa6-136c-790e-b181-f1665b3a1aef_totalLabel_en-US" xlink:label="lab_us-gaap_Assets" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Assets</link:label>
    <link:label id="lab_us-gaap_Assets_label_en-US" xlink:label="lab_us-gaap_Assets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Assets" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Assets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_Assets" xlink:to="lab_us-gaap_Assets" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ScheduleForFinancialSupportForNonconsolidatedEntityTableTextBlock_019cafa6-12dd-7450-9d05-892b2fcb1107_terseLabel_en-US" xlink:label="lab_obdc_ScheduleForFinancialSupportForNonconsolidatedEntityTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Outstanding Commitments</link:label>
    <link:label id="lab_obdc_ScheduleForFinancialSupportForNonconsolidatedEntityTableTextBlock_label_en-US" xlink:label="lab_obdc_ScheduleForFinancialSupportForNonconsolidatedEntityTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule For Financial Support For Nonconsolidated Entity [Table Text Block]</link:label>
    <link:label id="lab_obdc_ScheduleForFinancialSupportForNonconsolidatedEntityTableTextBlock_documentation_en-US" xlink:label="lab_obdc_ScheduleForFinancialSupportForNonconsolidatedEntityTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule For Financial Support For Nonconsolidated Entity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ScheduleForFinancialSupportForNonconsolidatedEntityTableTextBlock" xlink:href="obdc-20260331.xsd#obdc_ScheduleForFinancialSupportForNonconsolidatedEntityTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ScheduleForFinancialSupportForNonconsolidatedEntityTableTextBlock" xlink:to="lab_obdc_ScheduleForFinancialSupportForNonconsolidatedEntityTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_PortfolioCommitmentsMember_019cafa6-12dd-7a90-ae01-9921b37524bf_terseLabel_en-US" xlink:label="lab_obdc_PortfolioCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Portfolio Commitments</link:label>
    <link:label id="lab_obdc_PortfolioCommitmentsMember_label_en-US" xlink:label="lab_obdc_PortfolioCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Portfolio Commitments [Member]</link:label>
    <link:label id="lab_obdc_PortfolioCommitmentsMember_documentation_en-US" xlink:label="lab_obdc_PortfolioCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Portfolio Commitments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_PortfolioCommitmentsMember" xlink:href="obdc-20260331.xsd#obdc_PortfolioCommitmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_PortfolioCommitmentsMember" xlink:to="lab_obdc_PortfolioCommitmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_HealthcareTechnologyMember_019cafa6-136c-7387-a609-35df8bb3a057_verboseLabel_en-US" xlink:label="lab_obdc_HealthcareTechnologyMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Healthcare technology</link:label>
    <link:label id="lab_obdc_HealthcareTechnologyMember_label_en-US" xlink:label="lab_obdc_HealthcareTechnologyMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Healthcare Technology [Member]</link:label>
    <link:label id="lab_obdc_HealthcareTechnologyMember_documentation_en-US" xlink:label="lab_obdc_HealthcareTechnologyMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Healthcare Technology</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_HealthcareTechnologyMember" xlink:href="obdc-20260331.xsd#obdc_HealthcareTechnologyMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_HealthcareTechnologyMember" xlink:to="lab_obdc_HealthcareTechnologyMember" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_SegmentGeographicalDomain_019cafa6-12dd-75e9-86ea-e4d8d327496c_terseLabel_en-US" xlink:label="lab_srt_SegmentGeographicalDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Geographical [Domain]</link:label>
    <link:label id="lab_srt_SegmentGeographicalDomain_label_en-US" xlink:label="lab_srt_SegmentGeographicalDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Geographical [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_SegmentGeographicalDomain" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_SegmentGeographicalDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_SegmentGeographicalDomain" xlink:to="lab_srt_SegmentGeographicalDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeTaxPolicyTextBlock_019cafa6-13e2-77f2-b95c-bb229e68fb1a_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeTaxPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Income Taxes</link:label>
    <link:label id="lab_us-gaap_IncomeTaxPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_IncomeTaxPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Income Tax, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxPolicyTextBlock" xlink:to="lab_us-gaap_IncomeTaxPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentCompanyShareRepurchasePerShareNet_019cafa6-136c-7426-a86b-7cb7721d4469_terseLabel_en-US" xlink:label="lab_obdc_InvestmentCompanyShareRepurchasePerShareNet" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Repurchase of common shares (in usd per share)</link:label>
    <link:label id="lab_obdc_InvestmentCompanyShareRepurchasePerShareNet_label_en-US" xlink:label="lab_obdc_InvestmentCompanyShareRepurchasePerShareNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Share Repurchase, Per Share, Net</link:label>
    <link:label id="lab_obdc_InvestmentCompanyShareRepurchasePerShareNet_documentation_en-US" xlink:label="lab_obdc_InvestmentCompanyShareRepurchasePerShareNet" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Company, Share Repurchase, Per Share, Net</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentCompanyShareRepurchasePerShareNet" xlink:href="obdc-20260331.xsd#obdc_InvestmentCompanyShareRepurchasePerShareNet"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentCompanyShareRepurchasePerShareNet" xlink:to="lab_obdc_InvestmentCompanyShareRepurchasePerShareNet" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_019cafa6-12dd-7c89-8502-13bfa7f6524c_terseLabel_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash Flows from Operating Activities</link:label>
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_label_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash Provided by (Used in) Operating Activity, Including Discontinued Operation [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="lab_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems_019cafa6-12dd-799b-9795-970120c92575_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Business Combination, Pro Forma Information [Line Items]</link:label>
    <link:label id="lab_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems_label_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Pro Forma Information [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems" xlink:to="lab_us-gaap_BusinessAcquisitionProFormaInformationNonrecurringAdjustmentLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BlueOwlCreditIncomeCorp.Member_019cafa6-12dd-78cb-8298-4fcdbc15c359_terseLabel_en-US" xlink:label="lab_obdc_BlueOwlCreditIncomeCorp.Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Blue Owl Credit Income Corp.</link:label>
    <link:label id="lab_obdc_BlueOwlCreditIncomeCorp.Member_label_en-US" xlink:label="lab_obdc_BlueOwlCreditIncomeCorp.Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Blue Owl Credit Income Corp. [Member]</link:label>
    <link:label id="lab_obdc_BlueOwlCreditIncomeCorp.Member_documentation_en-US" xlink:label="lab_obdc_BlueOwlCreditIncomeCorp.Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Blue Owl Credit Income Corp.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BlueOwlCreditIncomeCorp.Member" xlink:href="obdc-20260331.xsd#obdc_BlueOwlCreditIncomeCorp.Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BlueOwlCreditIncomeCorp.Member" xlink:to="lab_obdc_BlueOwlCreditIncomeCorp.Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ConsumerSectorMember_019cafa6-136c-7c73-bbd2-04cd50cbad77_terseLabel_en-US" xlink:label="lab_us-gaap_ConsumerSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Consumer products</link:label>
    <link:label id="lab_us-gaap_ConsumerSectorMember_label_en-US" xlink:label="lab_us-gaap_ConsumerSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Consumer Sector [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConsumerSectorMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ConsumerSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ConsumerSectorMember" xlink:to="lab_us-gaap_ConsumerSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AerospaceSectorMember_019cafa6-12dd-7355-be60-822e98b99f1a_terseLabel_en-US" xlink:label="lab_us-gaap_AerospaceSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aerospace and defense</link:label>
    <link:label id="lab_us-gaap_AerospaceSectorMember_label_en-US" xlink:label="lab_us-gaap_AerospaceSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Aerospace Sector [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AerospaceSectorMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AerospaceSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AerospaceSectorMember" xlink:to="lab_us-gaap_AerospaceSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ReceivableInvestmentSale_019cafa6-136c-71f2-8117-8726ee988697_terseLabel_en-US" xlink:label="lab_us-gaap_ReceivableInvestmentSale" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Receivable for investments sold</link:label>
    <link:label id="lab_us-gaap_ReceivableInvestmentSale_label_en-US" xlink:label="lab_us-gaap_ReceivableInvestmentSale" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Receivable, Investment, Sale</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReceivableInvestmentSale" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ReceivableInvestmentSale"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ReceivableInvestmentSale" xlink:to="lab_us-gaap_ReceivableInvestmentSale" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentNetContributedCapital_019cafa6-13e3-7593-97d1-38ebd6f7948e_terseLabel_en-US" xlink:label="lab_obdc_InvestmentNetContributedCapital" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Contributed Capital</link:label>
    <link:label id="lab_obdc_InvestmentNetContributedCapital_label_en-US" xlink:label="lab_obdc_InvestmentNetContributedCapital" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Net Contributed Capital</link:label>
    <link:label id="lab_obdc_InvestmentNetContributedCapital_documentation_en-US" xlink:label="lab_obdc_InvestmentNetContributedCapital" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment, Net Contributed Capital</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentNetContributedCapital" xlink:href="obdc-20260331.xsd#obdc_InvestmentNetContributedCapital"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentNetContributedCapital" xlink:to="lab_obdc_InvestmentNetContributedCapital" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ConcentrationRiskByTypeAxis_019cafa6-136c-71d9-b1db-2ff98362f684_terseLabel_en-US" xlink:label="lab_us-gaap_ConcentrationRiskByTypeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Concentration Risk Type [Axis]</link:label>
    <link:label id="lab_us-gaap_ConcentrationRiskByTypeAxis_label_en-US" xlink:label="lab_us-gaap_ConcentrationRiskByTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Concentration Risk Type [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConcentrationRiskByTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ConcentrationRiskByTypeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ConcentrationRiskByTypeAxis" xlink:to="lab_us-gaap_ConcentrationRiskByTypeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIClassAL2LoansMember_019cafa6-12dd-7ed3-b3e6-94573424008d_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassAL2LoansMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L2 Loans</link:label>
    <link:label id="lab_obdc_CLOVIIClassAL2LoansMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassAL2LoansMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L2 Loans [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassAL2LoansMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassAL2LoansMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L2 Loans</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassAL2LoansMember" xlink:href="obdc-20260331.xsd#obdc_CLOVIIClassAL2LoansMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassAL2LoansMember" xlink:to="lab_obdc_CLOVIIClassAL2LoansMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentCovenantTermsAssetCoverageRatioMinimum_019cafa6-12dd-7c22-a953-df2808444d6d_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantTermsAssetCoverageRatioMinimum" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Asset coverage ratio, minimum</link:label>
    <link:label id="lab_obdc_DebtInstrumentCovenantTermsAssetCoverageRatioMinimum_label_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantTermsAssetCoverageRatioMinimum" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Covenant Terms, Asset Coverage Ratio, Minimum</link:label>
    <link:label id="lab_obdc_DebtInstrumentCovenantTermsAssetCoverageRatioMinimum_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantTermsAssetCoverageRatioMinimum" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Covenant Terms, Asset Coverage Ratio, Minimum</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentCovenantTermsAssetCoverageRatioMinimum" xlink:href="obdc-20260331.xsd#obdc_DebtInstrumentCovenantTermsAssetCoverageRatioMinimum"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentCovenantTermsAssetCoverageRatioMinimum" xlink:to="lab_obdc_DebtInstrumentCovenantTermsAssetCoverageRatioMinimum" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommonStockDividendsPerShareDeclared_019cafa6-136c-779e-953e-216b7e609cb0_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockDividendsPerShareDeclared" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Common stock, dividends declared per share (in usd per share)</link:label>
    <link:label id="lab_us-gaap_CommonStockDividendsPerShareDeclared_label_en-US" xlink:label="lab_us-gaap_CommonStockDividendsPerShareDeclared" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Common Stock, Dividends, Per Share, Declared</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockDividendsPerShareDeclared" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonStockDividendsPerShareDeclared"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockDividendsPerShareDeclared" xlink:to="lab_us-gaap_CommonStockDividendsPerShareDeclared" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityCommonStockSharesOutstanding_019cafa6-12dd-7fcb-9f0c-99858a413f40_terseLabel_en-US" xlink:label="lab_dei_EntityCommonStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Common Stock, Shares Outstanding</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCommonStockSharesOutstanding" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityCommonStockSharesOutstanding"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityCommonStockSharesOutstanding" xlink:to="lab_dei_EntityCommonStockSharesOutstanding" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentOwnedBalancePrincipalAmount_019cafa6-136c-7b78-a07a-650c637dcf2a_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedBalancePrincipalAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Par</link:label>
    <link:label id="lab_us-gaap_InvestmentOwnedBalancePrincipalAmount_label_en-US" xlink:label="lab_us-gaap_InvestmentOwnedBalancePrincipalAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Owned, Balance, Principal Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentOwnedBalancePrincipalAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentOwnedBalancePrincipalAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentOwnedBalancePrincipalAmount" xlink:to="lab_us-gaap_InvestmentOwnedBalancePrincipalAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIIClassBRNotesMember_019cafa6-13e3-793c-bc57-0568bdb25e4e_terseLabel_en-US" xlink:label="lab_obdc_CLOIIIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO III Class B-R Notes</link:label>
    <link:label id="lab_obdc_CLOIIIClassBRNotesMember_label_en-US" xlink:label="lab_obdc_CLOIIIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO III, Class B-R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIIIClassBRNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIIIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO III, Class B-R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIIClassBRNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOIIIClassBRNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIIClassBRNotesMember" xlink:to="lab_obdc_CLOIIIClassBRNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets_019cafa6-136c-72b9-8b1f-138c41126652_totalLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total assets acquired</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Asset Acquired, Asset</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets" xlink:to="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIClassALoansMember_019cafa6-12dd-7d99-a7b1-61d77b032896_terseLabel_en-US" xlink:label="lab_obdc_CLOIClassALoansMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I, Class A Loans</link:label>
    <link:label id="lab_obdc_CLOIClassALoansMember_label_en-US" xlink:label="lab_obdc_CLOIClassALoansMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I, Class A Loans [Member]</link:label>
    <link:label id="lab_obdc_CLOIClassALoansMember_documentation_en-US" xlink:label="lab_obdc_CLOIClassALoansMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I, Class A Loans</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIClassALoansMember" xlink:href="obdc-20260331.xsd#obdc_CLOIClassALoansMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIClassALoansMember" xlink:to="lab_obdc_CLOIClassALoansMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueInputsLevel2Member_019cafa6-12dd-701b-8f4c-1c9fdb263161_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel2Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Level 2</link:label>
    <link:label id="lab_us-gaap_FairValueInputsLevel2Member_019cafa6-12dd-795b-ae72-3383cf4ffd32_verboseLabel_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel2Member" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Level 2</link:label>
    <link:label id="lab_us-gaap_FairValueInputsLevel2Member_label_en-US" xlink:label="lab_us-gaap_FairValueInputsLevel2Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Inputs, Level 2 [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInputsLevel2Member" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueInputsLevel2Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueInputsLevel2Member" xlink:to="lab_us-gaap_FairValueInputsLevel2Member" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_InsiderTrdPoliciesProcNotAdoptedTextBlock_terseLabel_en-US" xlink:label="lab_ecd_InsiderTrdPoliciesProcNotAdoptedTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Insider Trading Policies and Procedures Not Adopted</link:label>
    <link:label id="lab_ecd_InsiderTrdPoliciesProcNotAdoptedTextBlock_label_en-US" xlink:label="lab_ecd_InsiderTrdPoliciesProcNotAdoptedTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Insider Trading Policies and Procedures Not Adopted [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_InsiderTrdPoliciesProcNotAdoptedTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_InsiderTrdPoliciesProcNotAdoptedTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_InsiderTrdPoliciesProcNotAdoptedTextBlock" xlink:to="lab_ecd_InsiderTrdPoliciesProcNotAdoptedTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessAcquisitionAcquireeDomain_019cafa6-12dd-7b4b-80a2-0fefc7623a71_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionAcquireeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Business Combination [Domain]</link:label>
    <link:label id="lab_us-gaap_BusinessAcquisitionAcquireeDomain_label_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionAcquireeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAcquireeDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessAcquisitionAcquireeDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessAcquisitionAcquireeDomain" xlink:to="lab_us-gaap_BusinessAcquisitionAcquireeDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_PeoMember_terseLabel_en-US" xlink:label="lab_ecd_PeoMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">PEO</link:label>
    <link:label id="lab_ecd_PeoMember_label_en-US" xlink:label="lab_ecd_PeoMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">PEO [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PeoMember" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_PeoMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PeoMember" xlink:to="lab_ecd_PeoMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfSecuredDebt_019cafa6-13e2-7594-8025-37e7804749b5_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfSecuredDebt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Proceeds from issuance of secured debt</link:label>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfSecuredDebt_label_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfSecuredDebt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds from Issuance of Secured Debt</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfSecuredDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromIssuanceOfSecuredDebt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromIssuanceOfSecuredDebt" xlink:to="lab_us-gaap_ProceedsFromIssuanceOfSecuredDebt" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InitialThirdThresholdPercentageMember_019cafa6-13e3-7c0b-8c3c-6192f8e7f5b2_terseLabel_en-US" xlink:label="lab_obdc_InitialThirdThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Initial Third Threshold Percentage</link:label>
    <link:label id="lab_obdc_InitialThirdThresholdPercentageMember_label_en-US" xlink:label="lab_obdc_InitialThirdThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Initial Third Threshold Percentage [Member]</link:label>
    <link:label id="lab_obdc_InitialThirdThresholdPercentageMember_documentation_en-US" xlink:label="lab_obdc_InitialThirdThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Initial Third Threshold Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InitialThirdThresholdPercentageMember" xlink:href="obdc-20260331.xsd#obdc_InitialThirdThresholdPercentageMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InitialThirdThresholdPercentageMember" xlink:to="lab_obdc_InitialThirdThresholdPercentageMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InterestRateSwaps2030NotesMember_019cafa6-12dd-7249-ba95-40918e86f4cd_terseLabel_en-US" xlink:label="lab_obdc_InterestRateSwaps2030NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest rate swaps 2030 Notes</link:label>
    <link:label id="lab_obdc_InterestRateSwaps2030NotesMember_label_en-US" xlink:label="lab_obdc_InterestRateSwaps2030NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Rate Swaps, 2030 Notes [Member]</link:label>
    <link:label id="lab_obdc_InterestRateSwaps2030NotesMember_documentation_en-US" xlink:label="lab_obdc_InterestRateSwaps2030NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest Rate Swaps, 2030 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InterestRateSwaps2030NotesMember" xlink:href="obdc-20260331.xsd#obdc_InterestRateSwaps2030NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InterestRateSwaps2030NotesMember" xlink:to="lab_obdc_InterestRateSwaps2030NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIClassB1NotesMember_019cafa6-136c-70c7-bb49-2c7d35b5098a_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassB1NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class B-1 Notes</link:label>
    <link:label id="lab_obdc_CLOVIIClassB1NotesMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassB1NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class B-1 Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassB1NotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassB1NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class B-1 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassB1NotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOVIIClassB1NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassB1NotesMember" xlink:to="lab_obdc_CLOVIIClassB1NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ThreeMonthsEURIBORMember_019cafa6-136c-7bc8-b493-86f3f78df50f_terseLabel_en-US" xlink:label="lab_obdc_ThreeMonthsEURIBORMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subject to 3 months EURIBOR</link:label>
    <link:label id="lab_obdc_ThreeMonthsEURIBORMember_label_en-US" xlink:label="lab_obdc_ThreeMonthsEURIBORMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Three Months EURIBOR [Member]</link:label>
    <link:label id="lab_obdc_ThreeMonthsEURIBORMember_documentation_en-US" xlink:label="lab_obdc_ThreeMonthsEURIBORMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Three Months EURIBOR</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ThreeMonthsEURIBORMember" xlink:href="obdc-20260331.xsd#obdc_ThreeMonthsEURIBORMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ThreeMonthsEURIBORMember" xlink:to="lab_obdc_ThreeMonthsEURIBORMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_019cafa6-136c-72c2-8a13-49eb5692dde2_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Changes in operating assets and liabilities:</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustment to Reconcile Net Income to Cash Provided by (Used in) Operating Activity, Increase (Decrease) in Operating Capital [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInOperatingCapitalAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xlink:to="lab_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVClassA1RNotesMember_019cafa6-136c-70e3-9b6f-3b0402d4019f_terseLabel_en-US" xlink:label="lab_obdc_CLOVClassA1RNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO V, Class A-1R Notes</link:label>
    <link:label id="lab_obdc_CLOVClassA1RNotesMember_label_en-US" xlink:label="lab_obdc_CLOVClassA1RNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO V, Class A-1R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVClassA1RNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVClassA1RNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO V, Class A-1R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVClassA1RNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOVClassA1RNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVClassA1RNotesMember" xlink:to="lab_obdc_CLOVClassA1RNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_019cafa6-12dd-792e-a5a9-0923f296de46_periodStartLabel_en-US" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Cash and restricted cash, including foreign cash, beginning of period (restricted cash of $47,448 and $82,387, respectively)</link:label>
    <link:label id="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_019cafa6-12dd-7b46-9d2d-942f42cf2aa9_periodEndLabel_en-US" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Cash and restricted cash, including foreign cash, end of period (restricted cash of $13,519 and $75,555, respectively)</link:label>
    <link:label id="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_label_en-US" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Continuing Operation</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:to="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeStatementAbstract_019cafa6-12dd-7b0a-b859-0e58052003b7_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeStatementAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Statement of Operations</link:label>
    <link:label id="lab_us-gaap_IncomeStatementAbstract_label_en-US" xlink:label="lab_us-gaap_IncomeStatementAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Income Statement [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeStatementAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeStatementAbstract" xlink:to="lab_us-gaap_IncomeStatementAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeAssets_019dd8f5-e2cd-7064-94c9-047b6e4b8336_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Assets</link:label>
    <link:label id="lab_us-gaap_DerivativeAssets_label_en-US" xlink:label="lab_us-gaap_DerivativeAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Asset</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeAssets" xlink:to="lab_us-gaap_DerivativeAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAggregateFairValue_019cafa6-13e3-765f-ac46-50e74a5a8aaa_terseLabel_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAggregateFairValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregate fair value of asset sale</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAggregateFairValue_label_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAggregateFairValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Aggregate Fair Value</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAggregateFairValue_documentation_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAggregateFairValue" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Aggregate Fair Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DisposalGroupIncludingDiscontinuedOperationAggregateFairValue" xlink:href="obdc-20260331.xsd#obdc_DisposalGroupIncludingDiscontinuedOperationAggregateFairValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DisposalGroupIncludingDiscontinuedOperationAggregateFairValue" xlink:to="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAggregateFairValue" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeMember_019cafa6-13e3-753f-9bfb-ba32fbc362e9_terseLabel_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Management Agreement - Incentive Rate, Pre-Incentive Fee Net Investment Income</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeMember_label_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement - Incentive Rate, Pre-Incentive Fee Net Investment Income [Member]</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeMember_documentation_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement - Incentive Rate, Pre-Incentive Fee Net Investment Income</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeMember" xlink:href="obdc-20260331.xsd#obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeMember" xlink:to="lab_obdc_InvestmentAdvisoryAgreementIncentiveRatePreIncentiveFeeNetInvestmentIncomeMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SaleOfStockNameOfTransactionDomain_019cafa6-13e3-7dd4-8785-ff0c7498abf5_terseLabel_en-US" xlink:label="lab_us-gaap_SaleOfStockNameOfTransactionDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Sale of Stock [Domain]</link:label>
    <link:label id="lab_us-gaap_SaleOfStockNameOfTransactionDomain_label_en-US" xlink:label="lab_us-gaap_SaleOfStockNameOfTransactionDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Sale of Stock [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SaleOfStockNameOfTransactionDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SaleOfStockNameOfTransactionDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SaleOfStockNameOfTransactionDomain" xlink:to="lab_us-gaap_SaleOfStockNameOfTransactionDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RetailSectorMember_019cafa6-136c-7e04-ae18-b4f750feb417_terseLabel_en-US" xlink:label="lab_us-gaap_RetailSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Specialty retail</link:label>
    <link:label id="lab_us-gaap_RetailSectorMember_label_en-US" xlink:label="lab_us-gaap_RetailSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Retail Sector [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetailSectorMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RetailSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RetailSectorMember" xlink:to="lab_us-gaap_RetailSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyTotalReturn_019cafa6-13e3-742a-a222-612711f536d8_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyTotalReturn" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total return, based on net asset value</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyTotalReturn_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyTotalReturn" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Total Return</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyTotalReturn" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyTotalReturn"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyTotalReturn" xlink:to="lab_us-gaap_InvestmentCompanyTotalReturn" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SPVAssetFacilityVIIMember_019cafa6-136c-7ad8-869d-0de259e4de48_terseLabel_en-US" xlink:label="lab_obdc_SPVAssetFacilityVIIMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">SPV Asset Facility VII</link:label>
    <link:label id="lab_obdc_SPVAssetFacilityVIIMember_label_en-US" xlink:label="lab_obdc_SPVAssetFacilityVIIMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">SPV Asset Facility VII [Member]</link:label>
    <link:label id="lab_obdc_SPVAssetFacilityVIIMember_documentation_en-US" xlink:label="lab_obdc_SPVAssetFacilityVIIMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">SPV Asset Facility VII</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SPVAssetFacilityVIIMember" xlink:href="obdc-20260331.xsd#obdc_SPVAssetFacilityVIIMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SPVAssetFacilityVIIMember" xlink:to="lab_obdc_SPVAssetFacilityVIIMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts_019cafa6-12dd-7576-9bec-33d33c87addd_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transaction costs</link:label>
    <link:label id="lab_us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts_label_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Transaction Cost, Excluding Separately Recognized Transaction</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts" xlink:to="lab_us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NetInvestmentIncome_019cafa6-12dd-7a51-96fb-b4e287e26ac6_totalLabel_en-US" xlink:label="lab_us-gaap_NetInvestmentIncome" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net Investment Income (Loss) Before Taxes</link:label>
    <link:label id="lab_us-gaap_NetInvestmentIncome_label_en-US" xlink:label="lab_us-gaap_NetInvestmentIncome" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Investment Income</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetInvestmentIncome" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetInvestmentIncome"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetInvestmentIncome" xlink:to="lab_us-gaap_NetInvestmentIncome" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_RestatementDoesNotRequireRecoveryTextBlock_terseLabel_en-US" xlink:label="lab_ecd_RestatementDoesNotRequireRecoveryTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Restatement does not require Recovery</link:label>
    <link:label id="lab_ecd_RestatementDoesNotRequireRecoveryTextBlock_label_en-US" xlink:label="lab_ecd_RestatementDoesNotRequireRecoveryTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Restatement Does Not Require Recovery [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_RestatementDoesNotRequireRecoveryTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_RestatementDoesNotRequireRecoveryTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_RestatementDoesNotRequireRecoveryTextBlock" xlink:to="lab_ecd_RestatementDoesNotRequireRecoveryTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockRepurchaseProgramPeriodInForce1_019cafa6-136c-7329-a1d0-10532c4b6bdb_terseLabel_en-US" xlink:label="lab_us-gaap_StockRepurchaseProgramPeriodInForce1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Repurchase program term</link:label>
    <link:label id="lab_us-gaap_StockRepurchaseProgramPeriodInForce1_label_en-US" xlink:label="lab_us-gaap_StockRepurchaseProgramPeriodInForce1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share Repurchase Program, Period in Force</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockRepurchaseProgramPeriodInForce1" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockRepurchaseProgramPeriodInForce1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockRepurchaseProgramPeriodInForce1" xlink:to="lab_us-gaap_StockRepurchaseProgramPeriodInForce1" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateRealizedCapitalGainsMember_019cafa6-136c-7a08-8990-842ab3b0cb6f_terseLabel_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateRealizedCapitalGainsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Management Agreement - Incentive Rate, Realized Capital Gains</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateRealizedCapitalGainsMember_label_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateRealizedCapitalGainsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement - Incentive Rate, Realized Capital Gains [Member]</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateRealizedCapitalGainsMember_documentation_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateRealizedCapitalGainsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement - Incentive Rate, Realized Capital Gains</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentAdvisoryAgreementIncentiveRateRealizedCapitalGainsMember" xlink:href="obdc-20260331.xsd#obdc_InvestmentAdvisoryAgreementIncentiveRateRealizedCapitalGainsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentAdvisoryAgreementIncentiveRateRealizedCapitalGainsMember" xlink:to="lab_obdc_InvestmentAdvisoryAgreementIncentiveRateRealizedCapitalGainsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract_label_en-US" xlink:label="lab_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Organization, Consolidation and Presentation of Financial Statements [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract" xlink:to="lab_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeNotionalAmount_019cafa6-12dd-7ddb-9f8d-f28b1fb6e63f_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeNotionalAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Notional Amount</link:label>
    <link:label id="lab_us-gaap_DerivativeNotionalAmount_019cafa6-12dd-77f8-b77d-004d0d24aa64_verboseLabel_en-US" xlink:label="lab_us-gaap_DerivativeNotionalAmount" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Notional amount</link:label>
    <link:label id="lab_us-gaap_DerivativeNotionalAmount_label_en-US" xlink:label="lab_us-gaap_DerivativeNotionalAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative, Notional Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeNotionalAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeNotionalAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeNotionalAmount" xlink:to="lab_us-gaap_DerivativeNotionalAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock_019cafa6-13e3-7b6b-a72b-aeab679c583f_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Purchase Price to Assets Acquired and Liabilities Assumed</link:label>
    <link:label id="lab_us-gaap_ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Asset Acquired and Liability Assumed [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock" xlink:to="lab_us-gaap_ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyDividendDistribution_019cafa6-136c-7735-a1eb-1dbb881ff4e1_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyDividendDistribution" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Distributions declared from earnings</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyDividendDistribution_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyDividendDistribution" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Dividend Distribution</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyDividendDistribution" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyDividendDistribution"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyDividendDistribution" xlink:to="lab_us-gaap_InvestmentCompanyDividendDistribution" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_CityAreaCode_019cafa6-136c-7c60-8fcf-9508f630aa82_terseLabel_en-US" xlink:label="lab_dei_CityAreaCode" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">City Area Code</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CityAreaCode"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_CityAreaCode" xlink:to="lab_dei_CityAreaCode" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AwardTmgHowMnpiCnsdrdTextBlock_terseLabel_en-US" xlink:label="lab_ecd_AwardTmgHowMnpiCnsdrdTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Award Timing, How MNPI Considered</link:label>
    <link:label id="lab_ecd_AwardTmgHowMnpiCnsdrdTextBlock_label_en-US" xlink:label="lab_ecd_AwardTmgHowMnpiCnsdrdTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Timing, How MNPI Considered [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardTmgHowMnpiCnsdrdTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AwardTmgHowMnpiCnsdrdTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardTmgHowMnpiCnsdrdTextBlock" xlink:to="lab_ecd_AwardTmgHowMnpiCnsdrdTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_TelecommunicationMember_019cafa6-13e3-7f76-89e5-e0dd9aa4f184_terseLabel_en-US" xlink:label="lab_obdc_TelecommunicationMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Telecommunications</link:label>
    <link:label id="lab_obdc_TelecommunicationMember_label_en-US" xlink:label="lab_obdc_TelecommunicationMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Telecommunication [Member]</link:label>
    <link:label id="lab_obdc_TelecommunicationMember_documentation_en-US" xlink:label="lab_obdc_TelecommunicationMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Telecommunication</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_TelecommunicationMember" xlink:href="obdc-20260331.xsd#obdc_TelecommunicationMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_TelecommunicationMember" xlink:to="lab_obdc_TelecommunicationMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ChemicalsSectorMember_019cafa6-136c-7491-86dc-c93751957fda_terseLabel_en-US" xlink:label="lab_us-gaap_ChemicalsSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Chemicals</link:label>
    <link:label id="lab_us-gaap_ChemicalsSectorMember_label_en-US" xlink:label="lab_us-gaap_ChemicalsSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Chemicals Sector [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ChemicalsSectorMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ChemicalsSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ChemicalsSectorMember" xlink:to="lab_us-gaap_ChemicalsSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_MiscellaneousDebtCommitmentsNettingMember_019cafa6-136c-755f-91bb-225b437a1032_terseLabel_en-US" xlink:label="lab_obdc_MiscellaneousDebtCommitmentsNettingMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Miscellaneous Debt Commitments</link:label>
    <link:label id="lab_obdc_MiscellaneousDebtCommitmentsNettingMember_label_en-US" xlink:label="lab_obdc_MiscellaneousDebtCommitmentsNettingMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Miscellaneous Debt Commitments, Netting [Member]</link:label>
    <link:label id="lab_obdc_MiscellaneousDebtCommitmentsNettingMember_documentation_en-US" xlink:label="lab_obdc_MiscellaneousDebtCommitmentsNettingMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Miscellaneous Debt Commitments, Netting</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_MiscellaneousDebtCommitmentsNettingMember" xlink:href="obdc-20260331.xsd#obdc_MiscellaneousDebtCommitmentsNettingMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_MiscellaneousDebtCommitmentsNettingMember" xlink:to="lab_obdc_MiscellaneousDebtCommitmentsNettingMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DeferredTaxLiabilities_019cafa6-12dd-74b1-ad08-57bbc049e699_terseLabel_en-US" xlink:label="lab_us-gaap_DeferredTaxLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net deferred tax liability</link:label>
    <link:label id="lab_us-gaap_DeferredTaxLiabilities_label_en-US" xlink:label="lab_us-gaap_DeferredTaxLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Tax Liabilities, Net</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxLiabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredTaxLiabilities" xlink:to="lab_us-gaap_DeferredTaxLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_PvpTable_terseLabel_en-US" xlink:label="lab_ecd_PvpTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Pay vs Performance Disclosure</link:label>
    <link:label id="lab_ecd_PvpTable_label_en-US" xlink:label="lab_ecd_PvpTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Pay vs Performance Disclosure [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PvpTable" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_PvpTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PvpTable" xlink:to="lab_ecd_PvpTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestReceivable_019cafa6-136c-74d2-85bb-1f70dcc317dd_verboseLabel_en-US" xlink:label="lab_us-gaap_InterestReceivable" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Interest and dividend receivable</link:label>
    <link:label id="lab_us-gaap_InterestReceivable_label_en-US" xlink:label="lab_us-gaap_InterestReceivable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Receivable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestReceivable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InterestReceivable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestReceivable" xlink:to="lab_us-gaap_InterestReceivable" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SPVAssetFacilityVIMember_019cafa6-136c-7470-998b-51f213200d56_terseLabel_en-US" xlink:label="lab_obdc_SPVAssetFacilityVIMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">SPV Asset Facility VI</link:label>
    <link:label id="lab_obdc_SPVAssetFacilityVIMember_label_en-US" xlink:label="lab_obdc_SPVAssetFacilityVIMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">SPV Asset Facility VI [Member]</link:label>
    <link:label id="lab_obdc_SPVAssetFacilityVIMember_documentation_en-US" xlink:label="lab_obdc_SPVAssetFacilityVIMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">SPV Asset Facility VI</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SPVAssetFacilityVIMember" xlink:href="obdc-20260331.xsd#obdc_SPVAssetFacilityVIMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SPVAssetFacilityVIMember" xlink:to="lab_obdc_SPVAssetFacilityVIMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OpenSwapContractIdentifierAxis_019cafa6-136c-7a49-b1a0-b4801cac85fc_terseLabel_en-US" xlink:label="lab_us-gaap_OpenSwapContractIdentifierAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Open Swap Contract, Identifier [Axis]</link:label>
    <link:label id="lab_us-gaap_OpenSwapContractIdentifierAxis_label_en-US" xlink:label="lab_us-gaap_OpenSwapContractIdentifierAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Open Swap Contract, Identifier [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OpenSwapContractIdentifierAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OpenSwapContractIdentifierAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OpenSwapContractIdentifierAxis" xlink:to="lab_us-gaap_OpenSwapContractIdentifierAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIVClassA2RNotesMember_019cafa6-13e3-79b2-b650-69680a8006fc_terseLabel_en-US" xlink:label="lab_obdc_CLOIVClassA2RNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO IV, Class A-2-R Notes</link:label>
    <link:label id="lab_obdc_CLOIVClassA2RNotesMember_label_en-US" xlink:label="lab_obdc_CLOIVClassA2RNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO IV, Class A-2-R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIVClassA2RNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIVClassA2RNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO IV, Class A-2-R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIVClassA2RNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOIVClassA2RNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIVClassA2RNotesMember" xlink:to="lab_obdc_CLOIVClassA2RNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIVClassA1RNotesMember_019cafa6-13e3-72f7-abd7-0093dfbb6f7d_terseLabel_en-US" xlink:label="lab_obdc_CLOIVClassA1RNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO IV, Class A-1-R Notes</link:label>
    <link:label id="lab_obdc_CLOIVClassA1RNotesMember_label_en-US" xlink:label="lab_obdc_CLOIVClassA1RNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO IV, Class A-1-R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIVClassA1RNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIVClassA1RNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO IV, Class A-1-R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIVClassA1RNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOIVClassA1RNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIVClassA1RNotesMember" xlink:to="lab_obdc_CLOIVClassA1RNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindAccruedInPeriod_019cafa6-13e2-7c30-9aa7-ead9768ab3d4_totalLabel_en-US" xlink:label="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindAccruedInPeriod" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total PIK Income</link:label>
    <link:label id="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindAccruedInPeriod_label_en-US" xlink:label="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindAccruedInPeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest and Dividend Income, Operating, Paid in Kind Accrued In Period</link:label>
    <link:label id="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindAccruedInPeriod_documentation_en-US" xlink:label="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindAccruedInPeriod" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest and Dividend Income, Operating, Paid in Kind Accrued In Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InterestAndDividendIncomeOperatingPaidInKindAccruedInPeriod" xlink:href="obdc-20260331.xsd#obdc_InterestAndDividendIncomeOperatingPaidInKindAccruedInPeriod"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InterestAndDividendIncomeOperatingPaidInKindAccruedInPeriod" xlink:to="lab_obdc_InterestAndDividendIncomeOperatingPaidInKindAccruedInPeriod" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyTransactionsAbstract_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transactions [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyTransactionsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionsAbstract" xlink:to="lab_us-gaap_RelatedPartyTransactionsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncentiveFeeExpense_019cafa6-12dd-70aa-b9e6-176c338581dd_terseLabel_en-US" xlink:label="lab_us-gaap_IncentiveFeeExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Performance based incentive fees</link:label>
    <link:label id="lab_us-gaap_IncentiveFeeExpense_label_en-US" xlink:label="lab_us-gaap_IncentiveFeeExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Incentive Fee Expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncentiveFeeExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncentiveFeeExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncentiveFeeExpense" xlink:to="lab_us-gaap_IncentiveFeeExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherLiabilities_019cafa6-136c-73d1-90f6-bdfb392e7952_terseLabel_en-US" xlink:label="lab_us-gaap_OtherLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Payables to affiliates</link:label>
    <link:label id="lab_us-gaap_OtherLiabilities_label_en-US" xlink:label="lab_us-gaap_OtherLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLiabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherLiabilities" xlink:to="lab_us-gaap_OtherLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_TwoThousandTwentyNineNotesMember_019cafa6-12dd-7975-90f7-42e5488cbf5c_verboseLabel_en-US" xlink:label="lab_obdc_TwoThousandTwentyNineNotesMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">2029 Notes</link:label>
    <link:label id="lab_obdc_TwoThousandTwentyNineNotesMember_019cafa6-12dd-7be4-8ec1-238261eb7792_terseLabel_en-US" xlink:label="lab_obdc_TwoThousandTwentyNineNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2029 Notes</link:label>
    <link:label id="lab_obdc_TwoThousandTwentyNineNotesMember_label_en-US" xlink:label="lab_obdc_TwoThousandTwentyNineNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Two Thousand Twenty-Nine Notes [Member]</link:label>
    <link:label id="lab_obdc_TwoThousandTwentyNineNotesMember_documentation_en-US" xlink:label="lab_obdc_TwoThousandTwentyNineNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Two Thousand Twenty-Nine Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_TwoThousandTwentyNineNotesMember" xlink:href="obdc-20260331.xsd#obdc_TwoThousandTwentyNineNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_TwoThousandTwentyNineNotesMember" xlink:to="lab_obdc_TwoThousandTwentyNineNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXIVClassANotesMember_019cafa6-136c-7e07-bf10-b2170bd4f8fb_terseLabel_en-US" xlink:label="lab_obdc_CLOXIVClassANotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO XIV, Class A Notes</link:label>
    <link:label id="lab_obdc_CLOXIVClassANotesMember_label_en-US" xlink:label="lab_obdc_CLOXIVClassANotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO XIV, Class A Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOXIVClassANotesMember_documentation_en-US" xlink:label="lab_obdc_CLOXIVClassANotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO XIV, Class A Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXIVClassANotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOXIVClassANotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXIVClassANotesMember" xlink:to="lab_obdc_CLOXIVClassANotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NonUsMember_019cafa6-136c-7f62-8825-e3a09df303e1_terseLabel_en-US" xlink:label="lab_us-gaap_NonUsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">International</link:label>
    <link:label id="lab_us-gaap_NonUsMember_label_en-US" xlink:label="lab_us-gaap_NonUsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-US [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NonUsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NonUsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NonUsMember" xlink:to="lab_us-gaap_NonUsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyFinancialHighlightsTableTextBlock_019cafa6-13e3-7f19-8c16-9b4ec8747e4a_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialHighlightsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Financial Highlights for a Common Share Outstanding</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyFinancialHighlightsTableTextBlock_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialHighlightsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Financial Highlights [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyFinancialHighlightsTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyFinancialHighlightsTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyFinancialHighlightsTableTextBlock" xlink:to="lab_us-gaap_InvestmentCompanyFinancialHighlightsTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyExpenseOffsetArrangement_019cafa6-13e3-75ac-a728-5c3b48d11a56_verboseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyExpenseOffsetArrangement" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Management fees waived</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyExpenseOffsetArrangement_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyExpenseOffsetArrangement" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Expense Offset Arrangement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyExpenseOffsetArrangement" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyExpenseOffsetArrangement"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyExpenseOffsetArrangement" xlink:to="lab_us-gaap_InvestmentCompanyExpenseOffsetArrangement" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SupplementalCashFlowInformationAbstract_019cafa6-136c-7585-9757-93c942096315_terseLabel_en-US" xlink:label="lab_us-gaap_SupplementalCashFlowInformationAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Supplemental and Non-Cash Information</link:label>
    <link:label id="lab_us-gaap_SupplementalCashFlowInformationAbstract_label_en-US" xlink:label="lab_us-gaap_SupplementalCashFlowInformationAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Supplemental Cash Flow Information [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SupplementalCashFlowInformationAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SupplementalCashFlowInformationAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SupplementalCashFlowInformationAbstract" xlink:to="lab_us-gaap_SupplementalCashFlowInformationAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables_019cafa6-12dd-7c1f-8f9d-a67e5160dc33_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest receivable</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Asset Acquired, Receivable, Current</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables" xlink:to="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_OtherPerfMeasureAmt_terseLabel_en-US" xlink:label="lab_ecd_OtherPerfMeasureAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other Performance Measure, Amount</link:label>
    <link:label id="lab_ecd_OtherPerfMeasureAmt_label_en-US" xlink:label="lab_ecd_OtherPerfMeasureAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Performance Measure, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_OtherPerfMeasureAmt" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_OtherPerfMeasureAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_OtherPerfMeasureAmt" xlink:to="lab_ecd_OtherPerfMeasureAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentOwnedCost_019cafa6-136c-751e-9c60-52b2311a5e98_terseLabel_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentOwnedCost" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments, at fair value amortized cost</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentOwnedCost_label_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentOwnedCost" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Assets Acquired, Investment Owned, Cost</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentOwnedCost_documentation_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentOwnedCost" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Assets Acquired, Investment Owned, Cost</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentOwnedCost" xlink:href="obdc-20260331.xsd#obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentOwnedCost"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentOwnedCost" xlink:to="lab_obdc_BusinessCombinationRecognizedAssetsAcquiredInvestmentOwnedCost" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PaymentsOfDebtIssuanceCosts_019cafa6-136c-75f5-86e9-92168122609a_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_PaymentsOfDebtIssuanceCosts" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Debt issuance costs</link:label>
    <link:label id="lab_us-gaap_PaymentsOfDebtIssuanceCosts_label_en-US" xlink:label="lab_us-gaap_PaymentsOfDebtIssuanceCosts" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payments of Debt Issuance Costs</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfDebtIssuanceCosts" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsOfDebtIssuanceCosts"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsOfDebtIssuanceCosts" xlink:to="lab_us-gaap_PaymentsOfDebtIssuanceCosts" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio_019cafa6-136c-7aa4-a974-2d2757bbf084_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Ratio of net investment income to average net assets</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Investment Income (Loss) Ratio</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyInvestmentIncomeLossRatio"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" xlink:to="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_TaxBasisOfInvestmentsCostForIncomeTaxPurposes_019cafa6-12dd-7e7e-be1a-e4eb018722d4_terseLabel_en-US" xlink:label="lab_us-gaap_TaxBasisOfInvestmentsCostForIncomeTaxPurposes" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cost for income tax purposes</link:label>
    <link:label id="lab_us-gaap_TaxBasisOfInvestmentsCostForIncomeTaxPurposes_label_en-US" xlink:label="lab_us-gaap_TaxBasisOfInvestmentsCostForIncomeTaxPurposes" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Tax Basis, Cost</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TaxBasisOfInvestmentsCostForIncomeTaxPurposes" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TaxBasisOfInvestmentsCostForIncomeTaxPurposes"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_TaxBasisOfInvestmentsCostForIncomeTaxPurposes" xlink:to="lab_us-gaap_TaxBasisOfInvestmentsCostForIncomeTaxPurposes" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentIncomeOperatingExciseTaxExpenseBenefit_019cafa6-136c-75eb-aae1-c6e2b89d5cc7_terseLabel_en-US" xlink:label="lab_obdc_InvestmentIncomeOperatingExciseTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Excise tax expense (benefit)</link:label>
    <link:label id="lab_obdc_InvestmentIncomeOperatingExciseTaxExpenseBenefit_label_en-US" xlink:label="lab_obdc_InvestmentIncomeOperatingExciseTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Income, Operating, Excise Tax Expense (Benefit)</link:label>
    <link:label id="lab_obdc_InvestmentIncomeOperatingExciseTaxExpenseBenefit_documentation_en-US" xlink:label="lab_obdc_InvestmentIncomeOperatingExciseTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Income, Operating, Excise Tax Expense (Benefit)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentIncomeOperatingExciseTaxExpenseBenefit" xlink:href="obdc-20260331.xsd#obdc_InvestmentIncomeOperatingExciseTaxExpenseBenefit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentIncomeOperatingExciseTaxExpenseBenefit" xlink:to="lab_obdc_InvestmentIncomeOperatingExciseTaxExpenseBenefit" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyDomain_019cafa6-12dd-77cc-987a-1eafc6cad134_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related Party [Domain]</link:label>
    <link:label id="lab_us-gaap_RelatedPartyDomain_label_en-US" xlink:label="lab_us-gaap_RelatedPartyDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related and Nonrelated Parties [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyDomain" xlink:to="lab_us-gaap_RelatedPartyDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebtUnamortizedDebtIssuanceCosts_019cafa6-13e2-790d-9e09-83cdbd74674a_terseLabel_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebtUnamortizedDebtIssuanceCosts" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unamortized debt issuance costs</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebtUnamortizedDebtIssuanceCosts_label_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebtUnamortizedDebtIssuanceCosts" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Liability Assumed, Long-term Debt Unamortized Debt Issuance Costs</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebtUnamortizedDebtIssuanceCosts_documentation_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebtUnamortizedDebtIssuanceCosts" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Liability Assumed, Long-term Debt Unamortized Debt Issuance Costs</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebtUnamortizedDebtIssuanceCosts" xlink:href="obdc-20260331.xsd#obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebtUnamortizedDebtIssuanceCosts"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebtUnamortizedDebtIssuanceCosts" xlink:to="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebtUnamortizedDebtIssuanceCosts" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeInstrumentRiskAxis_019cafa6-12dd-7d2b-b512-c1eb6c270cad_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentRiskAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Instrument [Axis]</link:label>
    <link:label id="lab_us-gaap_DerivativeInstrumentRiskAxis_label_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentRiskAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Instrument [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentRiskAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeInstrumentRiskAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentRiskAxis" xlink:to="lab_us-gaap_DerivativeInstrumentRiskAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXIVClassBNotesMember_019cafa6-12dd-7baa-8c21-b74a3d57bf5b_verboseLabel_en-US" xlink:label="lab_obdc_CLOXIVClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">CLO XIV, Class B Notes</link:label>
    <link:label id="lab_obdc_CLOXIVClassBNotesMember_label_en-US" xlink:label="lab_obdc_CLOXIVClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO XIV, Class B Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOXIVClassBNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOXIVClassBNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO XIV, Class B Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXIVClassBNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOXIVClassBNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXIVClassBNotesMember" xlink:to="lab_obdc_CLOXIVClassBNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueOfFinancialInstrumentsPolicy_019cafa6-12dd-707c-9cfe-55043984ce87_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueOfFinancialInstrumentsPolicy" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments at Fair Value</link:label>
    <link:label id="lab_us-gaap_FairValueOfFinancialInstrumentsPolicy_label_en-US" xlink:label="lab_us-gaap_FairValueOfFinancialInstrumentsPolicy" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value of Financial Instruments, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueOfFinancialInstrumentsPolicy" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueOfFinancialInstrumentsPolicy"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueOfFinancialInstrumentsPolicy" xlink:to="lab_us-gaap_FairValueOfFinancialInstrumentsPolicy" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_JuneTwoThousandTwentyEightNotesMember_019cafa6-12dd-7e23-a308-f96a3a81b94a_terseLabel_en-US" xlink:label="lab_obdc_JuneTwoThousandTwentyEightNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">June 2028 Notes</link:label>
    <link:label id="lab_obdc_JuneTwoThousandTwentyEightNotesMember_label_en-US" xlink:label="lab_obdc_JuneTwoThousandTwentyEightNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">June Two Thousand Twenty Eight Notes [Member]</link:label>
    <link:label id="lab_obdc_JuneTwoThousandTwentyEightNotesMember_documentation_en-US" xlink:label="lab_obdc_JuneTwoThousandTwentyEightNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">June Two Thousand Twenty Eight Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_JuneTwoThousandTwentyEightNotesMember" xlink:href="obdc-20260331.xsd#obdc_JuneTwoThousandTwentyEightNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_JuneTwoThousandTwentyEightNotesMember" xlink:to="lab_obdc_JuneTwoThousandTwentyEightNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PaymentsForRepurchaseOfPreferredStockAndPreferenceStock_019cafa6-13e2-78c5-a61f-41ad4c598395_terseLabel_en-US" xlink:label="lab_us-gaap_PaymentsForRepurchaseOfPreferredStockAndPreferenceStock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt instrument, total redemption price amount</link:label>
    <link:label id="lab_us-gaap_PaymentsForRepurchaseOfPreferredStockAndPreferenceStock_label_en-US" xlink:label="lab_us-gaap_PaymentsForRepurchaseOfPreferredStockAndPreferenceStock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payments for Repurchase of Preferred Stock and Preference Stock</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForRepurchaseOfPreferredStockAndPreferenceStock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsForRepurchaseOfPreferredStockAndPreferenceStock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsForRepurchaseOfPreferredStockAndPreferenceStock" xlink:to="lab_us-gaap_PaymentsForRepurchaseOfPreferredStockAndPreferenceStock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersInFromMergers_019cafa6-12dd-79f5-80c4-1f6f2776fe1a_terseLabel_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersInFromMergers" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transfers in from the OBDE Mergers</link:label>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersInFromMergers_label_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersInFromMergers" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Transfers in from Mergers</link:label>
    <link:label id="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersInFromMergers_documentation_en-US" xlink:label="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersInFromMergers" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Transfers in from Mergers</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersInFromMergers" xlink:href="obdc-20260331.xsd#obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersInFromMergers"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersInFromMergers" xlink:to="lab_obdc_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersInFromMergers" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIIssuerMember_019cafa6-136c-7b8a-bb66-26f4676483ed_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII Issuer</link:label>
    <link:label id="lab_obdc_CLOVIIIssuerMember_label_en-US" xlink:label="lab_obdc_CLOVIIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII Issuer [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIIssuerMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII Issuer</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIIssuerMember" xlink:href="obdc-20260331.xsd#obdc_CLOVIIIssuerMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIIssuerMember" xlink:to="lab_obdc_CLOVIIIssuerMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_StateTeachersRetirementSystemOfOhioMember_019cafa6-12dd-7d27-bf22-e1a1e200e7c9_terseLabel_en-US" xlink:label="lab_obdc_StateTeachersRetirementSystemOfOhioMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">State Teachers Retirement System of Ohio</link:label>
    <link:label id="lab_obdc_StateTeachersRetirementSystemOfOhioMember_label_en-US" xlink:label="lab_obdc_StateTeachersRetirementSystemOfOhioMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">State Teachers Retirement System Of Ohio [Member]</link:label>
    <link:label id="lab_obdc_StateTeachersRetirementSystemOfOhioMember_documentation_en-US" xlink:label="lab_obdc_StateTeachersRetirementSystemOfOhioMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">State Teachers Retirement System Of Ohio</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_StateTeachersRetirementSystemOfOhioMember" xlink:href="obdc-20260331.xsd#obdc_StateTeachersRetirementSystemOfOhioMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_StateTeachersRetirementSystemOfOhioMember" xlink:to="lab_obdc_StateTeachersRetirementSystemOfOhioMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_AprilTwoThousandTwentySevenNotesMember_019cafa6-12dd-7ff7-8a2b-db78f10486e3_terseLabel_en-US" xlink:label="lab_obdc_AprilTwoThousandTwentySevenNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">April 2027 Notes</link:label>
    <link:label id="lab_obdc_AprilTwoThousandTwentySevenNotesMember_label_en-US" xlink:label="lab_obdc_AprilTwoThousandTwentySevenNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">April Two Thousand Twenty Seven Notes [Member]</link:label>
    <link:label id="lab_obdc_AprilTwoThousandTwentySevenNotesMember_documentation_en-US" xlink:label="lab_obdc_AprilTwoThousandTwentySevenNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">April Two Thousand Twenty Seven Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_AprilTwoThousandTwentySevenNotesMember" xlink:href="obdc-20260331.xsd#obdc_AprilTwoThousandTwentySevenNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_AprilTwoThousandTwentySevenNotesMember" xlink:to="lab_obdc_AprilTwoThousandTwentySevenNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityDomain_019cafa6-136c-76ba-a9de-03f60bf17ddf_terseLabel_en-US" xlink:label="lab_dei_EntityDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityDomain" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityDomain" xlink:to="lab_dei_EntityDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtVariableRateComponentTwoLessThanProductMember_019cafa6-136c-77cb-b7e9-1a4d5fa94c87_terseLabel_en-US" xlink:label="lab_obdc_DebtVariableRateComponentTwoLessThanProductMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Two, Less Than Product</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentTwoLessThanProductMember_label_en-US" xlink:label="lab_obdc_DebtVariableRateComponentTwoLessThanProductMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Two, Less Than Product [Member]</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentTwoLessThanProductMember_documentation_en-US" xlink:label="lab_obdc_DebtVariableRateComponentTwoLessThanProductMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component Two, Less Than Product</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtVariableRateComponentTwoLessThanProductMember" xlink:href="obdc-20260331.xsd#obdc_DebtVariableRateComponentTwoLessThanProductMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtVariableRateComponentTwoLessThanProductMember" xlink:to="lab_obdc_DebtVariableRateComponentTwoLessThanProductMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentCompanyCapitalTransactionsIncreaseDecrease_019cafa6-13e2-7396-8e40-4b1e5962e60c_totalLabel_en-US" xlink:label="lab_obdc_InvestmentCompanyCapitalTransactionsIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net Increase (Decrease) in Net Assets Resulting from Capital Share Transactions</link:label>
    <link:label id="lab_obdc_InvestmentCompanyCapitalTransactionsIncreaseDecrease_label_en-US" xlink:label="lab_obdc_InvestmentCompanyCapitalTransactionsIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Capital Transactions, Increase (Decrease)</link:label>
    <link:label id="lab_obdc_InvestmentCompanyCapitalTransactionsIncreaseDecrease_documentation_en-US" xlink:label="lab_obdc_InvestmentCompanyCapitalTransactionsIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Company, Capital Transactions, Increase (Decrease)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentCompanyCapitalTransactionsIncreaseDecrease" xlink:href="obdc-20260331.xsd#obdc_InvestmentCompanyCapitalTransactionsIncreaseDecrease"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentCompanyCapitalTransactionsIncreaseDecrease" xlink:to="lab_obdc_InvestmentCompanyCapitalTransactionsIncreaseDecrease" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AggtChngPnsnValInSummryCompstnTblForAplblYrMember_terseLabel_en-US" xlink:label="lab_ecd_AggtChngPnsnValInSummryCompstnTblForAplblYrMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregate Change in Present Value of Accumulated Benefit for All Pension Plans Reported in Summary Compensation Table</link:label>
    <link:label id="lab_ecd_AggtChngPnsnValInSummryCompstnTblForAplblYrMember_label_en-US" xlink:label="lab_ecd_AggtChngPnsnValInSummryCompstnTblForAplblYrMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Aggregate Change in Present Value of Accumulated Benefit for All Pension Plans Reported in Summary Compensation Table [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AggtChngPnsnValInSummryCompstnTblForAplblYrMember" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AggtChngPnsnValInSummryCompstnTblForAplblYrMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AggtChngPnsnValInSummryCompstnTblForAplblYrMember" xlink:to="lab_ecd_AggtChngPnsnValInSummryCompstnTblForAplblYrMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SeniorSecuredRevolvingCreditFacilityMember_019cafa6-13e3-7e7e-a03e-23154f953111_verboseLabel_en-US" xlink:label="lab_obdc_SeniorSecuredRevolvingCreditFacilityMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Revolving Credit Facility</link:label>
    <link:label id="lab_obdc_SeniorSecuredRevolvingCreditFacilityMember_019cafa6-13e3-7bff-a108-ba1aee674f82_terseLabel_en-US" xlink:label="lab_obdc_SeniorSecuredRevolvingCreditFacilityMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Revolving Credit Facility</link:label>
    <link:label id="lab_obdc_SeniorSecuredRevolvingCreditFacilityMember_label_en-US" xlink:label="lab_obdc_SeniorSecuredRevolvingCreditFacilityMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Senior Secured Revolving Credit Facility [Member]</link:label>
    <link:label id="lab_obdc_SeniorSecuredRevolvingCreditFacilityMember_documentation_en-US" xlink:label="lab_obdc_SeniorSecuredRevolvingCreditFacilityMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Senior Secured Revolving Credit Facility</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SeniorSecuredRevolvingCreditFacilityMember" xlink:href="obdc-20260331.xsd#obdc_SeniorSecuredRevolvingCreditFacilityMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SeniorSecuredRevolvingCreditFacilityMember" xlink:to="lab_obdc_SeniorSecuredRevolvingCreditFacilityMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CaliforniaStateTeachersRetirementSystemMember_019cafa6-13e3-7710-abf4-c67bc7adb822_terseLabel_en-US" xlink:label="lab_obdc_CaliforniaStateTeachersRetirementSystemMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">California State Teachers Retirement System</link:label>
    <link:label id="lab_obdc_CaliforniaStateTeachersRetirementSystemMember_label_en-US" xlink:label="lab_obdc_CaliforniaStateTeachersRetirementSystemMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">California State Teachers Retirement System [Member]</link:label>
    <link:label id="lab_obdc_CaliforniaStateTeachersRetirementSystemMember_documentation_en-US" xlink:label="lab_obdc_CaliforniaStateTeachersRetirementSystemMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">California State Teachers Retirement System</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CaliforniaStateTeachersRetirementSystemMember" xlink:href="obdc-20260331.xsd#obdc_CaliforniaStateTeachersRetirementSystemMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CaliforniaStateTeachersRetirementSystemMember" xlink:to="lab_obdc_CaliforniaStateTeachersRetirementSystemMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestPaidNet_019cafa6-13e3-79c1-895b-b59f8cc0fa56_terseLabel_en-US" xlink:label="lab_us-gaap_InterestPaidNet" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest paid during the period</link:label>
    <link:label id="lab_us-gaap_InterestPaidNet_label_en-US" xlink:label="lab_us-gaap_InterestPaidNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Paid, Excluding Capitalized Interest, Operating Activity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestPaidNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InterestPaidNet"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestPaidNet" xlink:to="lab_us-gaap_InterestPaidNet" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentFiscalYearFocus_019cafa6-12dd-791a-90ed-f3d2d1915df8_terseLabel_en-US" xlink:label="lab_dei_DocumentFiscalYearFocus" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Document Fiscal Year Focus</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentFiscalYearFocus" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentFiscalYearFocus"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentFiscalYearFocus" xlink:to="lab_dei_DocumentFiscalYearFocus" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BasisOfAccountingPolicyPolicyTextBlock_019cafa6-12dd-74bb-9675-b192ed8fdb96_terseLabel_en-US" xlink:label="lab_us-gaap_BasisOfAccountingPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Basis of Presentation</link:label>
    <link:label id="lab_us-gaap_BasisOfAccountingPolicyPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_BasisOfAccountingPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Basis of Accounting, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BasisOfAccountingPolicyPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BasisOfAccountingPolicyPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BasisOfAccountingPolicyPolicyTextBlock" xlink:to="lab_us-gaap_BasisOfAccountingPolicyPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_O2025Q1DividendsMember_019cafa6-136c-7af9-8607-eaaabc23d1ee_terseLabel_en-US" xlink:label="lab_obdc_O2025Q1DividendsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">O 2025 Q1 Dividends</link:label>
    <link:label id="lab_obdc_O2025Q1DividendsMember_label_en-US" xlink:label="lab_obdc_O2025Q1DividendsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">O 2025 Q1 Dividends [Member]</link:label>
    <link:label id="lab_obdc_O2025Q1DividendsMember_documentation_en-US" xlink:label="lab_obdc_O2025Q1DividendsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">O 2025 Q1 Dividends</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_O2025Q1DividendsMember" xlink:href="obdc-20260331.xsd#obdc_O2025Q1DividendsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_O2025Q1DividendsMember" xlink:to="lab_obdc_O2025Q1DividendsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIRefinancingIssuerMember_019cafa6-12dd-7ef3-bb2d-c6b9802c6a10_terseLabel_en-US" xlink:label="lab_obdc_CLOIRefinancingIssuerMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I Refinancing Issuer</link:label>
    <link:label id="lab_obdc_CLOIRefinancingIssuerMember_label_en-US" xlink:label="lab_obdc_CLOIRefinancingIssuerMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I Refinancing Issuer [Member]</link:label>
    <link:label id="lab_obdc_CLOIRefinancingIssuerMember_documentation_en-US" xlink:label="lab_obdc_CLOIRefinancingIssuerMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I Refinancing Issuer</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIRefinancingIssuerMember" xlink:href="obdc-20260331.xsd#obdc_CLOIRefinancingIssuerMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIRefinancingIssuerMember" xlink:to="lab_obdc_CLOIRefinancingIssuerMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyCommittedCapital_019cafa6-13e3-717a-9825-f46532db7542_verboseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyCommittedCapital" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Investment company, committed capital</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyCommittedCapital_019cafa6-13e3-72c2-a069-8ed417b32b69_netLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyCommittedCapital" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:type="resource" xml:lang="en-US">Capital Commitment</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyCommittedCapital_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyCommittedCapital" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Committed Capital</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyCommittedCapital" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyCommittedCapital"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyCommittedCapital" xlink:to="lab_us-gaap_InvestmentCompanyCommittedCapital" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CarryingReportedAmountFairValueDisclosureMember_019cafa6-136c-75fe-b4e4-b0e59ad258b5_terseLabel_en-US" xlink:label="lab_us-gaap_CarryingReportedAmountFairValueDisclosureMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Carrying Value</link:label>
    <link:label id="lab_us-gaap_CarryingReportedAmountFairValueDisclosureMember_label_en-US" xlink:label="lab_us-gaap_CarryingReportedAmountFairValueDisclosureMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Reported Value Measurement [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CarryingReportedAmountFairValueDisclosureMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CarryingReportedAmountFairValueDisclosureMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CarryingReportedAmountFairValueDisclosureMember" xlink:to="lab_us-gaap_CarryingReportedAmountFairValueDisclosureMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationAcquisitionRelatedCosts_019cafa6-12dd-7164-84bd-edce86d8d131_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationAcquisitionRelatedCosts" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transaction costs, net</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationAcquisitionRelatedCosts_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationAcquisitionRelatedCosts" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Acquisition-Related Cost, Expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationAcquisitionRelatedCosts" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationAcquisitionRelatedCosts"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationAcquisitionRelatedCosts" xlink:to="lab_us-gaap_BusinessCombinationAcquisitionRelatedCosts" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentEconomicOwnershipPercentage_019cafa6-136c-7142-89e2-45b1374266dc_terseLabel_en-US" xlink:label="lab_obdc_InvestmentEconomicOwnershipPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment, ownership percentage</link:label>
    <link:label id="lab_obdc_InvestmentEconomicOwnershipPercentage_019cafa6-136c-714a-9c74-2d0152b7a805_verboseLabel_en-US" xlink:label="lab_obdc_InvestmentEconomicOwnershipPercentage" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Economic Ownership Interest</link:label>
    <link:label id="lab_obdc_InvestmentEconomicOwnershipPercentage_label_en-US" xlink:label="lab_obdc_InvestmentEconomicOwnershipPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Economic Ownership Percentage</link:label>
    <link:label id="lab_obdc_InvestmentEconomicOwnershipPercentage_documentation_en-US" xlink:label="lab_obdc_InvestmentEconomicOwnershipPercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment, Economic Ownership Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentEconomicOwnershipPercentage" xlink:href="obdc-20260331.xsd#obdc_InvestmentEconomicOwnershipPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentEconomicOwnershipPercentage" xlink:to="lab_obdc_InvestmentEconomicOwnershipPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EquityAbstract_label_en-US" xlink:label="lab_us-gaap_EquityAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquityAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquityAbstract" xlink:to="lab_us-gaap_EquityAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIIClassA2NotesMember_019cafa6-13e3-7299-aca7-34b809e5f6dd_terseLabel_en-US" xlink:label="lab_obdc_CLOIIIClassA2NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO III, Class A-2 Notes</link:label>
    <link:label id="lab_obdc_CLOIIIClassA2NotesMember_label_en-US" xlink:label="lab_obdc_CLOIIIClassA2NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO III, Class A-2 Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIIIClassA2NotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIIIClassA2NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO III, Class A-2 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIIClassA2NotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOIIIClassA2NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIIClassA2NotesMember" xlink:to="lab_obdc_CLOIIIClassA2NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentCompanyShareIssuanceWithMergersPerShare_019cafa6-13e3-76bf-bf4c-2e2b806cba4b_negatedTerseLabel_en-US" xlink:label="lab_obdc_InvestmentCompanyShareIssuanceWithMergersPerShare" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Issuance of common shares in connection with the OBDE Mergers (in usd per share)</link:label>
    <link:label id="lab_obdc_InvestmentCompanyShareIssuanceWithMergersPerShare_label_en-US" xlink:label="lab_obdc_InvestmentCompanyShareIssuanceWithMergersPerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Share Issuance with Mergers, Per Share</link:label>
    <link:label id="lab_obdc_InvestmentCompanyShareIssuanceWithMergersPerShare_documentation_en-US" xlink:label="lab_obdc_InvestmentCompanyShareIssuanceWithMergersPerShare" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Company, Share Issuance with Mergers, Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentCompanyShareIssuanceWithMergersPerShare" xlink:href="obdc-20260331.xsd#obdc_InvestmentCompanyShareIssuanceWithMergersPerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentCompanyShareIssuanceWithMergersPerShare" xlink:to="lab_obdc_InvestmentCompanyShareIssuanceWithMergersPerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_WestRegionMember_019cafa6-13e3-7f2f-9d0e-663b963ebd13_terseLabel_en-US" xlink:label="lab_us-gaap_WestRegionMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">West</link:label>
    <link:label id="lab_us-gaap_WestRegionMember_label_en-US" xlink:label="lab_us-gaap_WestRegionMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">US West Region [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WestRegionMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_WestRegionMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_WestRegionMember" xlink:to="lab_us-gaap_WestRegionMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativesPolicyTextBlock_019cafa6-136c-70d4-b913-4c0b495969d7_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativesPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial and Derivative Instruments/Foreign Currency Forward Contracts</link:label>
    <link:label id="lab_us-gaap_DerivativesPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_DerivativesPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivatives, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativesPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativesPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativesPolicyTextBlock" xlink:to="lab_us-gaap_DerivativesPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NondesignatedMember_019cafa6-136c-7879-87fc-99b64428964f_terseLabel_en-US" xlink:label="lab_us-gaap_NondesignatedMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Not Designated as Hedging Instrument</link:label>
    <link:label id="lab_us-gaap_NondesignatedMember_label_en-US" xlink:label="lab_us-gaap_NondesignatedMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Not Designated as Hedging Instrument [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NondesignatedMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NondesignatedMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NondesignatedMember" xlink:to="lab_us-gaap_NondesignatedMember" xlink:type="arc" order="1"/>
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    <link:label id="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_label_en-US" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems"/>
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    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther_019cafa6-136c-7e6d-835e-418b56ca2d81_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other liabilities</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Liability Assumed, Other Liability, Noncurrent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther"/>
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    <link:label id="lab_ecd_CompActuallyPaidVsTotalShareholderRtnTextBlock_terseLabel_en-US" xlink:label="lab_ecd_CompActuallyPaidVsTotalShareholderRtnTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Compensation Actually Paid vs. Total Shareholder Return</link:label>
    <link:label id="lab_ecd_CompActuallyPaidVsTotalShareholderRtnTextBlock_label_en-US" xlink:label="lab_ecd_CompActuallyPaidVsTotalShareholderRtnTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Compensation Actually Paid vs. Total Shareholder Return [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_CompActuallyPaidVsTotalShareholderRtnTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_CompActuallyPaidVsTotalShareholderRtnTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_CompActuallyPaidVsTotalShareholderRtnTextBlock" xlink:to="lab_ecd_CompActuallyPaidVsTotalShareholderRtnTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_WeightedAverageMember_019cafa6-136c-7deb-a470-f5f9ae499ff8_terseLabel_en-US" xlink:label="lab_srt_WeightedAverageMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Weighted Average</link:label>
    <link:label id="lab_srt_WeightedAverageMember_label_en-US" xlink:label="lab_srt_WeightedAverageMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Weighted Average [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_WeightedAverageMember" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_WeightedAverageMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_WeightedAverageMember" xlink:to="lab_srt_WeightedAverageMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019cafa6-136c-7648-b27b-9d67b5a93826_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value, Recurring and Nonrecurring [Table]</link:label>
    <link:label id="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_label_en-US" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Recurring and Nonrecurring [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:to="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_FirstLienInvestmentsMember_019cafa6-13e3-70fe-aadd-fd883445c2fd_terseLabel_en-US" xlink:label="lab_obdc_FirstLienInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">First-Lien Investments</link:label>
    <link:label id="lab_obdc_FirstLienInvestmentsMember_label_en-US" xlink:label="lab_obdc_FirstLienInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">First-Lien Investments [Member]</link:label>
    <link:label id="lab_obdc_FirstLienInvestmentsMember_documentation_en-US" xlink:label="lab_obdc_FirstLienInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">First-Lien Investments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_FirstLienInvestmentsMember" xlink:href="obdc-20260331.xsd#obdc_FirstLienInvestmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_FirstLienInvestmentsMember" xlink:to="lab_obdc_FirstLienInvestmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockRedeemedOrCalledDuringPeriodValue_019cafa6-136c-7139-9e14-f45a978a39a2_terseLabel_en-US" xlink:label="lab_us-gaap_StockRedeemedOrCalledDuringPeriodValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Stock redeemed value</link:label>
    <link:label id="lab_us-gaap_StockRedeemedOrCalledDuringPeriodValue_label_en-US" xlink:label="lab_us-gaap_StockRedeemedOrCalledDuringPeriodValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Redeemed or Called During Period, Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockRedeemedOrCalledDuringPeriodValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockRedeemedOrCalledDuringPeriodValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockRedeemedOrCalledDuringPeriodValue" xlink:to="lab_us-gaap_StockRedeemedOrCalledDuringPeriodValue" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MeasurementInputPriceVolatilityMember_019cafa6-12dd-72fa-96e6-f54a0e78b54d_terseLabel_en-US" xlink:label="lab_us-gaap_MeasurementInputPriceVolatilityMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Volatility</link:label>
    <link:label id="lab_us-gaap_MeasurementInputPriceVolatilityMember_label_en-US" xlink:label="lab_us-gaap_MeasurementInputPriceVolatilityMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, Price Volatility [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MeasurementInputPriceVolatilityMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MeasurementInputPriceVolatilityMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MeasurementInputPriceVolatilityMember" xlink:to="lab_us-gaap_MeasurementInputPriceVolatilityMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockRepurchasedDuringPeriodValue_019cafa6-136c-7628-9b75-bd627bbd4977_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_StockRepurchasedDuringPeriodValue" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Repurchase of common shares</link:label>
    <link:label id="lab_us-gaap_StockRepurchasedDuringPeriodValue_019cafa6-136c-79ad-b6ff-aae3d119e04e_verboseLabel_en-US" xlink:label="lab_us-gaap_StockRepurchasedDuringPeriodValue" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Approximate Dollar Value of Shares that have been Purchased Under the Plans</link:label>
    <link:label id="lab_us-gaap_StockRepurchasedDuringPeriodValue_label_en-US" xlink:label="lab_us-gaap_StockRepurchasedDuringPeriodValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Repurchased During Period, Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockRepurchasedDuringPeriodValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockRepurchasedDuringPeriodValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockRepurchasedDuringPeriodValue" xlink:to="lab_us-gaap_StockRepurchasedDuringPeriodValue" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIClassAFRNotesMember_019cafa6-13e2-7292-a8f8-93957cbae210_terseLabel_en-US" xlink:label="lab_obdc_CLOIClassAFRNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I, Class A-FR Notes</link:label>
    <link:label id="lab_obdc_CLOIClassAFRNotesMember_label_en-US" xlink:label="lab_obdc_CLOIClassAFRNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I, Class A-FR Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIClassAFRNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIClassAFRNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I, Class A-FR Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIClassAFRNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOIClassAFRNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIClassAFRNotesMember" xlink:to="lab_obdc_CLOIClassAFRNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIClassBRNotesMember_019cafa6-136c-774f-b6dc-93e234cf1897_terseLabel_en-US" xlink:label="lab_obdc_CLOIIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO II, Class B-R Notes</link:label>
    <link:label id="lab_obdc_CLOIIClassBRNotesMember_label_en-US" xlink:label="lab_obdc_CLOIIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO II, Class B-R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIIClassBRNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO II, Class B-R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIClassBRNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOIIClassBRNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIClassBRNotesMember" xlink:to="lab_obdc_CLOIIClassBRNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SaleOfStockConsiderationReceivedOnTransaction_019cafa6-12dd-7387-9968-9ade154a0f52_terseLabel_en-US" xlink:label="lab_us-gaap_SaleOfStockConsiderationReceivedOnTransaction" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Proceeds</link:label>
    <link:label id="lab_us-gaap_SaleOfStockConsiderationReceivedOnTransaction_label_en-US" xlink:label="lab_us-gaap_SaleOfStockConsiderationReceivedOnTransaction" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Sale of Stock, Consideration Received on Transaction</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SaleOfStockConsiderationReceivedOnTransaction" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SaleOfStockConsiderationReceivedOnTransaction"/>
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    <link:label id="lab_obdc_CLOIIIssuerMember_019cafa6-13e2-7e16-88f4-b4730c8fe5c0_terseLabel_en-US" xlink:label="lab_obdc_CLOIIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO II Issuer</link:label>
    <link:label id="lab_obdc_CLOIIIssuerMember_label_en-US" xlink:label="lab_obdc_CLOIIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO II Issuer [Member]</link:label>
    <link:label id="lab_obdc_CLOIIIssuerMember_documentation_en-US" xlink:label="lab_obdc_CLOIIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO II Issuer</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIIssuerMember" xlink:href="obdc-20260331.xsd#obdc_CLOIIIssuerMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIIssuerMember" xlink:to="lab_obdc_CLOIIIssuerMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseDueFromAffiliates_019cafa6-136c-752a-b388-0883519c4ee7_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseDueFromAffiliates" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">(Increase) decrease in receivable from a controlled affiliate</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseDueFromAffiliates_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseDueFromAffiliates" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) Due from Affiliates</link:label>
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    <link:label id="lab_us-gaap_RevolvingCreditFacilityMember_019cafa6-12dd-7703-becb-2966bd1746a3_terseLabel_en-US" xlink:label="lab_us-gaap_RevolvingCreditFacilityMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Revolving Credit Facility</link:label>
    <link:label id="lab_us-gaap_RevolvingCreditFacilityMember_019cafa6-12dd-7a02-b168-e7fad2e1de02_verboseLabel_en-US" xlink:label="lab_us-gaap_RevolvingCreditFacilityMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Revolving loan commitments</link:label>
    <link:label id="lab_us-gaap_RevolvingCreditFacilityMember_label_en-US" xlink:label="lab_us-gaap_RevolvingCreditFacilityMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Revolving Credit Facility [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevolvingCreditFacilityMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RevolvingCreditFacilityMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RevolvingCreditFacilityMember" xlink:to="lab_us-gaap_RevolvingCreditFacilityMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ValuationTechniqueOptionPricingModelMember_019cafa6-13e3-759f-ae72-1e28a8a8780a_terseLabel_en-US" xlink:label="lab_us-gaap_ValuationTechniqueOptionPricingModelMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Option Pricing Model</link:label>
    <link:label id="lab_us-gaap_ValuationTechniqueOptionPricingModelMember_label_en-US" xlink:label="lab_us-gaap_ValuationTechniqueOptionPricingModelMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation Technique, Option Pricing Model [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ValuationTechniqueOptionPricingModelMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ValuationTechniqueOptionPricingModelMember"/>
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    <link:label id="lab_ecd_TrdArrDuration_terseLabel_en-US" xlink:label="lab_ecd_TrdArrDuration" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Arrangement Duration</link:label>
    <link:label id="lab_ecd_TrdArrDuration_label_en-US" xlink:label="lab_ecd_TrdArrDuration" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trading Arrangement Duration</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TrdArrDuration" xlink:to="lab_ecd_TrdArrDuration" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration_019cafa6-13e2-7695-a389-433015eebb01_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative, Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration]</link:label>
    <link:label id="lab_us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration_label_en-US" xlink:label="lab_us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative, Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration" xlink:to="lab_us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CommitmentToLSIFinancingLLCMember_019cafa6-136c-7d03-8255-4697e6b0a6d2_terseLabel_en-US" xlink:label="lab_obdc_CommitmentToLSIFinancingLLCMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Commitment To LSI Financing LLC</link:label>
    <link:label id="lab_obdc_CommitmentToLSIFinancingLLCMember_label_en-US" xlink:label="lab_obdc_CommitmentToLSIFinancingLLCMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Commitment To LSI Financing LLC [Member]</link:label>
    <link:label id="lab_obdc_CommitmentToLSIFinancingLLCMember_documentation_en-US" xlink:label="lab_obdc_CommitmentToLSIFinancingLLCMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Commitment To LSI Financing LLC</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CommitmentToLSIFinancingLLCMember" xlink:href="obdc-20260331.xsd#obdc_CommitmentToLSIFinancingLLCMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CommitmentToLSIFinancingLLCMember" xlink:to="lab_obdc_CommitmentToLSIFinancingLLCMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInvestmentMember_019cafa6-12dd-7150-8750-df9fe4d62e1b_terseLabel_en-US" xlink:label="lab_obdc_DebtInvestmentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Investment</link:label>
    <link:label id="lab_obdc_DebtInvestmentMember_label_en-US" xlink:label="lab_obdc_DebtInvestmentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Investment [Member]</link:label>
    <link:label id="lab_obdc_DebtInvestmentMember_documentation_en-US" xlink:label="lab_obdc_DebtInvestmentMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Investment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInvestmentMember" xlink:href="obdc-20260331.xsd#obdc_DebtInvestmentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInvestmentMember" xlink:to="lab_obdc_DebtInvestmentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_LocalPhoneNumber_019cafa6-12dd-7e72-8f03-f709ebb995ce_terseLabel_en-US" xlink:label="lab_dei_LocalPhoneNumber" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Local Phone Number</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_LocalPhoneNumber"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_LocalPhoneNumber" xlink:to="lab_dei_LocalPhoneNumber" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_Additional402vDisclosureTextBlock_terseLabel_en-US" xlink:label="lab_ecd_Additional402vDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Additional 402(v) Disclosure</link:label>
    <link:label id="lab_ecd_Additional402vDisclosureTextBlock_label_en-US" xlink:label="lab_ecd_Additional402vDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Additional 402(v) Disclosure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_Additional402vDisclosureTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_Additional402vDisclosureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_Additional402vDisclosureTextBlock" xlink:to="lab_ecd_Additional402vDisclosureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalAfterYearFive_019cafa6-13e3-7ef9-a8c7-e09fdc1c66ff_terseLabel_en-US" xlink:label="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalAfterYearFive" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">After 5 years</link:label>
    <link:label id="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalAfterYearFive_label_en-US" xlink:label="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalAfterYearFive" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Long-Term Debt, Maturity, after Year Five</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalAfterYearFive" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalAfterYearFive"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalAfterYearFive" xlink:to="lab_us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalAfterYearFive" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BlueOwlAlternativeCreditFundMember_019cafa6-13e3-7eb7-b924-e5fa709d13ec_terseLabel_en-US" xlink:label="lab_obdc_BlueOwlAlternativeCreditFundMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Blue Owl Alternative Credit Fund</link:label>
    <link:label id="lab_obdc_BlueOwlAlternativeCreditFundMember_label_en-US" xlink:label="lab_obdc_BlueOwlAlternativeCreditFundMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Blue Owl Alternative Credit Fund [Member]</link:label>
    <link:label id="lab_obdc_BlueOwlAlternativeCreditFundMember_documentation_en-US" xlink:label="lab_obdc_BlueOwlAlternativeCreditFundMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Blue Owl Alternative Credit Fund</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BlueOwlAlternativeCreditFundMember" xlink:href="obdc-20260331.xsd#obdc_BlueOwlAlternativeCreditFundMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BlueOwlAlternativeCreditFundMember" xlink:to="lab_obdc_BlueOwlAlternativeCreditFundMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents_019cafa6-136c-7bbf-9fe2-ce75a6ada192_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash and cash equivalents</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Asset Acquired, Cash and Cash Equivalent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents" xlink:to="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AssetsAbstract_019cafa6-136c-78d7-ac4c-9c9d7e5fef73_verboseLabel_en-US" xlink:label="lab_us-gaap_AssetsAbstract" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Assets</link:label>
    <link:label id="lab_us-gaap_AssetsAbstract_label_en-US" xlink:label="lab_us-gaap_AssetsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Assets [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetsAbstract" xlink:to="lab_us-gaap_AssetsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfUnsecuredDebt_019dd82b-82a9-72f0-9bee-b9c77d982d77_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfUnsecuredDebt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Proceeds from Issuance of Unsecured Debt</link:label>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfUnsecuredDebt_019dd84a-f80e-7668-8cd8-87372ab2f77e_verboseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfUnsecuredDebt" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Received from debt periodic payments</link:label>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfUnsecuredDebt_label_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfUnsecuredDebt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds from Issuance of Unsecured Debt</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfUnsecuredDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromIssuanceOfUnsecuredDebt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromIssuanceOfUnsecuredDebt" xlink:to="lab_us-gaap_ProceedsFromIssuanceOfUnsecuredDebt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CreditFacilityAxis_019cafa6-136c-798e-bd90-459feddfd689_terseLabel_en-US" xlink:label="lab_us-gaap_CreditFacilityAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Credit Facility [Axis]</link:label>
    <link:label id="lab_us-gaap_CreditFacilityAxis_label_en-US" xlink:label="lab_us-gaap_CreditFacilityAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Credit Facility [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CreditFacilityAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CreditFacilityAxis" xlink:to="lab_us-gaap_CreditFacilityAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossAdditions_019cafa6-13e2-72bb-a5a5-928c26a6c7a6_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossAdditions" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Gross Additions</link:label>
    <link:label id="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossAdditions_label_en-US" xlink:label="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossAdditions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investments in and Advances to Affiliates, at Fair Value, Gross Additions</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossAdditions" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossAdditions"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossAdditions" xlink:to="lab_us-gaap_InvestmentsInAndAdvancesToAffiliatesAtFairValueGrossAdditions" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_UndrlygSecurityMktPriceChngPct_terseLabel_en-US" xlink:label="lab_ecd_UndrlygSecurityMktPriceChngPct" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Underlying Security Market Price Change</link:label>
    <link:label id="lab_ecd_UndrlygSecurityMktPriceChngPct_label_en-US" xlink:label="lab_ecd_UndrlygSecurityMktPriceChngPct" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Underlying Security Market Price Change, Percent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_UndrlygSecurityMktPriceChngPct" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_UndrlygSecurityMktPriceChngPct"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_UndrlygSecurityMktPriceChngPct" xlink:to="lab_ecd_UndrlygSecurityMktPriceChngPct" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentAxis_019cafa6-136c-7b09-838d-b8afaadb32a8_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Instrument [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentAxis" xlink:to="lab_us-gaap_DebtInstrumentAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BlueOwlLeasingJVLLCMember_019cafa6-13e3-7209-bcfb-7725801ccf76_terseLabel_en-US" xlink:label="lab_obdc_BlueOwlLeasingJVLLCMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Blue Owl Leasing JV LLC</link:label>
    <link:label id="lab_obdc_BlueOwlLeasingJVLLCMember_label_en-US" xlink:label="lab_obdc_BlueOwlLeasingJVLLCMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Blue Owl Leasing JV LLC [Member]</link:label>
    <link:label id="lab_obdc_BlueOwlLeasingJVLLCMember_documentation_en-US" xlink:label="lab_obdc_BlueOwlLeasingJVLLCMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Blue Owl Leasing JV LLC</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BlueOwlLeasingJVLLCMember" xlink:href="obdc-20260331.xsd#obdc_BlueOwlLeasingJVLLCMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BlueOwlLeasingJVLLCMember" xlink:to="lab_obdc_BlueOwlLeasingJVLLCMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentInterestRateTermsGrossBorrowingBaseMultiplier_019cafa6-136c-7b4b-9d38-77d0ad7f8eda_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentInterestRateTermsGrossBorrowingBaseMultiplier" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest rate term multiplier</link:label>
    <link:label id="lab_obdc_DebtInstrumentInterestRateTermsGrossBorrowingBaseMultiplier_label_en-US" xlink:label="lab_obdc_DebtInstrumentInterestRateTermsGrossBorrowingBaseMultiplier" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Interest Rate Terms, Gross Borrowing Base, Multiplier</link:label>
    <link:label id="lab_obdc_DebtInstrumentInterestRateTermsGrossBorrowingBaseMultiplier_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentInterestRateTermsGrossBorrowingBaseMultiplier" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Interest Rate Terms, Gross Borrowing Base, Multiplier</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentInterestRateTermsGrossBorrowingBaseMultiplier" xlink:href="obdc-20260331.xsd#obdc_DebtInstrumentInterestRateTermsGrossBorrowingBaseMultiplier"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentInterestRateTermsGrossBorrowingBaseMultiplier" xlink:to="lab_obdc_DebtInstrumentInterestRateTermsGrossBorrowingBaseMultiplier" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueDisclosuresTextBlock_019cafa6-136c-78b8-9392-fe6121209753_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueDisclosuresTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value of Investments</link:label>
    <link:label id="lab_us-gaap_FairValueDisclosuresTextBlock_label_en-US" xlink:label="lab_us-gaap_FairValueDisclosuresTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Disclosures [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosuresTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueDisclosuresTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueDisclosuresTextBlock" xlink:to="lab_us-gaap_FairValueDisclosuresTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CreditFacilityDomain_019cafa6-13e2-79e6-b793-38be3758105b_terseLabel_en-US" xlink:label="lab_us-gaap_CreditFacilityDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Credit Facility [Domain]</link:label>
    <link:label id="lab_us-gaap_CreditFacilityDomain_label_en-US" xlink:label="lab_us-gaap_CreditFacilityDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Credit Facility [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CreditFacilityDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CreditFacilityDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CreditFacilityDomain" xlink:to="lab_us-gaap_CreditFacilityDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtAndEquitySecuritiesUnrealizedGainLoss_019cafa6-136c-715b-9d80-30f1c08d6dc0_terseLabel_en-US" xlink:label="lab_us-gaap_DebtAndEquitySecuritiesUnrealizedGainLoss" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net change in unrealized gain (loss)</link:label>
    <link:label id="lab_us-gaap_DebtAndEquitySecuritiesUnrealizedGainLoss_019cafa6-136c-7c30-aa57-c3a2153f8026_negatedLabel_en-US" xlink:label="lab_us-gaap_DebtAndEquitySecuritiesUnrealizedGainLoss" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Net change in unrealized (gain) loss on investments</link:label>
    <link:label id="lab_us-gaap_DebtAndEquitySecuritiesUnrealizedGainLoss_label_en-US" xlink:label="lab_us-gaap_DebtAndEquitySecuritiesUnrealizedGainLoss" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt and Equity Securities, Unrealized Gain (Loss)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtAndEquitySecuritiesUnrealizedGainLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtAndEquitySecuritiesUnrealizedGainLoss"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtAndEquitySecuritiesUnrealizedGainLoss" xlink:to="lab_us-gaap_DebtAndEquitySecuritiesUnrealizedGainLoss" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockholdersEquityAbstract_019cafa6-12dd-7a9f-81b3-6cfb5f6d1891_terseLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquityAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Assets</link:label>
    <link:label id="lab_us-gaap_StockholdersEquityAbstract_label_en-US" xlink:label="lab_us-gaap_StockholdersEquityAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity, Attributable to Parent [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockholdersEquityAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockholdersEquityAbstract" xlink:to="lab_us-gaap_StockholdersEquityAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_JulyTwoThousandTwentySixNotesMember_019cafa6-136c-7363-9932-1939c834dc76_terseLabel_en-US" xlink:label="lab_obdc_JulyTwoThousandTwentySixNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">July 2026 Notes</link:label>
    <link:label id="lab_obdc_JulyTwoThousandTwentySixNotesMember_label_en-US" xlink:label="lab_obdc_JulyTwoThousandTwentySixNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">July Two Thousand Twenty Six Notes [Member]</link:label>
    <link:label id="lab_obdc_JulyTwoThousandTwentySixNotesMember_documentation_en-US" xlink:label="lab_obdc_JulyTwoThousandTwentySixNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">July Two Thousand Twenty Six Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_JulyTwoThousandTwentySixNotesMember" xlink:href="obdc-20260331.xsd#obdc_JulyTwoThousandTwentySixNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_JulyTwoThousandTwentySixNotesMember" xlink:to="lab_obdc_JulyTwoThousandTwentySixNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentOwnedPercentOfNetAssets_019cafa6-136c-7809-b2cb-4f92eb66e1a1_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedPercentOfNetAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">% of Net Assets</link:label>
    <link:label id="lab_us-gaap_InvestmentOwnedPercentOfNetAssets_019cafa6-136c-72e8-9b83-08a3770ff6ee_verboseLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedPercentOfNetAssets" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Investment owned, net assets, percentage</link:label>
    <link:label id="lab_us-gaap_InvestmentOwnedPercentOfNetAssets_label_en-US" xlink:label="lab_us-gaap_InvestmentOwnedPercentOfNetAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Owned, Net Assets, Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentOwnedPercentOfNetAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentOwnedPercentOfNetAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentOwnedPercentOfNetAssets" xlink:to="lab_us-gaap_InvestmentOwnedPercentOfNetAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BlueOwlCapitalCorporationMember_019cafa6-13e2-7e28-a20c-70f3f77ef3f9_terseLabel_en-US" xlink:label="lab_obdc_BlueOwlCapitalCorporationMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Blue Owl Capital Corporation</link:label>
    <link:label id="lab_obdc_BlueOwlCapitalCorporationMember_label_en-US" xlink:label="lab_obdc_BlueOwlCapitalCorporationMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Blue Owl Capital Corporation [Member]</link:label>
    <link:label id="lab_obdc_BlueOwlCapitalCorporationMember_documentation_en-US" xlink:label="lab_obdc_BlueOwlCapitalCorporationMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Blue Owl Capital Corporation</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BlueOwlCapitalCorporationMember" xlink:href="obdc-20260331.xsd#obdc_BlueOwlCapitalCorporationMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BlueOwlCapitalCorporationMember" xlink:to="lab_obdc_BlueOwlCapitalCorporationMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractAUDMember_019cafa6-13e2-79e3-bd86-fc3d38e8e0bf_terseLabel_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractAUDMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign currency forward contract AUD</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractAUDMember_label_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractAUDMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract AUD [Member]</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractAUDMember_documentation_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractAUDMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract AUD</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ForeignCurrencyForwardContractAUDMember" xlink:href="obdc-20260331.xsd#obdc_ForeignCurrencyForwardContractAUDMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ForeignCurrencyForwardContractAUDMember" xlink:to="lab_obdc_ForeignCurrencyForwardContractAUDMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIClassAL2RLoansMember_019cafa6-136c-7bcd-83c8-b79fbf3625a1_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassAL2RLoansMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L2-R loans</link:label>
    <link:label id="lab_obdc_CLOVIIClassAL2RLoansMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassAL2RLoansMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L2-R loans [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassAL2RLoansMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassAL2RLoansMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-L2-R loans</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassAL2RLoansMember" xlink:href="obdc-20260331.xsd#obdc_CLOVIIClassAL2RLoansMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassAL2RLoansMember" xlink:to="lab_obdc_CLOVIIClassAL2RLoansMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentInterestRateStatedPercentage_019cafa6-13e2-7ded-bd3b-8c5a91cf107e_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest rate, stated percentage</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentInterestRateStatedPercentage_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Interest Rate, Stated Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentInterestRateStatedPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:to="lab_us-gaap_DebtInstrumentInterestRateStatedPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_S2025Q1DividendsMember_019cafa6-136c-767a-b6b8-41ea744c6baa_terseLabel_en-US" xlink:label="lab_obdc_S2025Q1DividendsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">S 2025 Q1 Dividends</link:label>
    <link:label id="lab_obdc_S2025Q1DividendsMember_label_en-US" xlink:label="lab_obdc_S2025Q1DividendsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">S 2025 Q1 Dividends [Member]</link:label>
    <link:label id="lab_obdc_S2025Q1DividendsMember_documentation_en-US" xlink:label="lab_obdc_S2025Q1DividendsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">S 2025 Q1 Dividends</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_S2025Q1DividendsMember" xlink:href="obdc-20260331.xsd#obdc_S2025Q1DividendsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_S2025Q1DividendsMember" xlink:to="lab_obdc_S2025Q1DividendsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsMember_019cafa6-12dd-7885-adcd-bde0ae7f46d2_terseLabel_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Management Fee - Average Gross Assets</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsMember_label_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Management Fee - Average Gross Assets [Member]</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsMember_documentation_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Management Fee - Average Gross Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsMember" xlink:href="obdc-20260331.xsd#obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsMember" xlink:to="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAverageGrossAssetsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ManagementFeePayable_019cafa6-136c-7061-8b10-77b9da03a200_terseLabel_en-US" xlink:label="lab_us-gaap_ManagementFeePayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Management fee payable</link:label>
    <link:label id="lab_us-gaap_ManagementFeePayable_label_en-US" xlink:label="lab_us-gaap_ManagementFeePayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Management Fee Payable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ManagementFeePayable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ManagementFeePayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ManagementFeePayable" xlink:to="lab_us-gaap_ManagementFeePayable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeFairValueOfDerivativeAsset_019cafa6-136c-76fa-948f-df9cad7f1487_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeFairValueOfDerivativeAsset" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Assets</link:label>
    <link:label id="lab_us-gaap_DerivativeFairValueOfDerivativeAsset_label_en-US" xlink:label="lab_us-gaap_DerivativeFairValueOfDerivativeAsset" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Asset, Subject to Master Netting Arrangement, before Offset</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeFairValueOfDerivativeAsset" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeFairValueOfDerivativeAsset"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeFairValueOfDerivativeAsset" xlink:to="lab_us-gaap_DerivativeFairValueOfDerivativeAsset" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyAbstract_019cafa6-136c-7974-b477-db181acf0155_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Company [Abstract]</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyAbstract_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyAbstract" xlink:to="lab_us-gaap_InvestmentCompanyAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyFinancialHighlightsTextBlock_019cafa6-136c-7eb4-bb9a-1d9d188d0998_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialHighlightsTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial Highlights</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyFinancialHighlightsTextBlock_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialHighlightsTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Financial Highlights [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyFinancialHighlightsTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyFinancialHighlightsTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyFinancialHighlightsTextBlock" xlink:to="lab_us-gaap_InvestmentCompanyFinancialHighlightsTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityRegistrantName_019cafa6-136c-7f41-a661-db815e6ad09f_terseLabel_en-US" xlink:label="lab_dei_EntityRegistrantName" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Registrant Name</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityRegistrantName"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityRegistrantName" xlink:to="lab_dei_EntityRegistrantName" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_EnergyEquipmentAndServicesMember_019cafa6-136c-79f3-bde6-21f573f39e00_terseLabel_en-US" xlink:label="lab_obdc_EnergyEquipmentAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Energy equipment and services</link:label>
    <link:label id="lab_obdc_EnergyEquipmentAndServicesMember_label_en-US" xlink:label="lab_obdc_EnergyEquipmentAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Energy Equipment and Services [Member]</link:label>
    <link:label id="lab_obdc_EnergyEquipmentAndServicesMember_documentation_en-US" xlink:label="lab_obdc_EnergyEquipmentAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Energy Equipment and Services</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_EnergyEquipmentAndServicesMember" xlink:href="obdc-20260331.xsd#obdc_EnergyEquipmentAndServicesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_EnergyEquipmentAndServicesMember" xlink:to="lab_obdc_EnergyEquipmentAndServicesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_IndustryConcentrationRiskMember_019cafa6-12dd-7878-98ed-fe9772e86b16_terseLabel_en-US" xlink:label="lab_obdc_IndustryConcentrationRiskMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Industry Concentration Risk</link:label>
    <link:label id="lab_obdc_IndustryConcentrationRiskMember_label_en-US" xlink:label="lab_obdc_IndustryConcentrationRiskMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Industry Concentration Risk [Member]</link:label>
    <link:label id="lab_obdc_IndustryConcentrationRiskMember_documentation_en-US" xlink:label="lab_obdc_IndustryConcentrationRiskMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Industry Concentration Risk</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_IndustryConcentrationRiskMember" xlink:href="obdc-20260331.xsd#obdc_IndustryConcentrationRiskMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_IndustryConcentrationRiskMember" xlink:to="lab_obdc_IndustryConcentrationRiskMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_StkPrcOrTsrEstimationMethodTextBlock_terseLabel_en-US" xlink:label="lab_ecd_StkPrcOrTsrEstimationMethodTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Stock Price or TSR Estimation Method</link:label>
    <link:label id="lab_ecd_StkPrcOrTsrEstimationMethodTextBlock_label_en-US" xlink:label="lab_ecd_StkPrcOrTsrEstimationMethodTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Price or TSR Estimation Method [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_StkPrcOrTsrEstimationMethodTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_StkPrcOrTsrEstimationMethodTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_StkPrcOrTsrEstimationMethodTextBlock" xlink:to="lab_ecd_StkPrcOrTsrEstimationMethodTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CashAcquiredFromMergerOperatingActivity_019cafa6-136c-770a-9e74-97fd38f0dbb1_terseLabel_en-US" xlink:label="lab_obdc_CashAcquiredFromMergerOperatingActivity" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash acquired in the OBDE Mergers</link:label>
    <link:label id="lab_obdc_CashAcquiredFromMergerOperatingActivity_label_en-US" xlink:label="lab_obdc_CashAcquiredFromMergerOperatingActivity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash Acquired from Merger, Operating Activity</link:label>
    <link:label id="lab_obdc_CashAcquiredFromMergerOperatingActivity_documentation_en-US" xlink:label="lab_obdc_CashAcquiredFromMergerOperatingActivity" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Cash Acquired from Merger, Operating Activity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CashAcquiredFromMergerOperatingActivity" xlink:href="obdc-20260331.xsd#obdc_CashAcquiredFromMergerOperatingActivity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CashAcquiredFromMergerOperatingActivity" xlink:to="lab_obdc_CashAcquiredFromMergerOperatingActivity" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PaymentForIncentiveFee_019cafa6-13e3-7cb5-a229-216539b5d3a1_terseLabel_en-US" xlink:label="lab_us-gaap_PaymentForIncentiveFee" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Incentive fee</link:label>
    <link:label id="lab_us-gaap_PaymentForIncentiveFee_label_en-US" xlink:label="lab_us-gaap_PaymentForIncentiveFee" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payment for Incentive Fee</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentForIncentiveFee" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentForIncentiveFee"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentForIncentiveFee" xlink:to="lab_us-gaap_PaymentForIncentiveFee" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentTerminationPeriodAxis_019cafa6-136c-7fcf-b283-4a8b0a25aaa1_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentTerminationPeriodAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Instrument, Termination Period [Axis]</link:label>
    <link:label id="lab_obdc_DebtInstrumentTerminationPeriodAxis_label_en-US" xlink:label="lab_obdc_DebtInstrumentTerminationPeriodAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Termination Period [Axis]</link:label>
    <link:label id="lab_obdc_DebtInstrumentTerminationPeriodAxis_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentTerminationPeriodAxis" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Termination Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentTerminationPeriodAxis" xlink:href="obdc-20260331.xsd#obdc_DebtInstrumentTerminationPeriodAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentTerminationPeriodAxis" xlink:to="lab_obdc_DebtInstrumentTerminationPeriodAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_TerminationPeriodFourMember_019cafa6-136c-7952-996d-7ed5c8fd498e_terseLabel_en-US" xlink:label="lab_obdc_TerminationPeriodFourMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">August 26, 2027</link:label>
    <link:label id="lab_obdc_TerminationPeriodFourMember_label_en-US" xlink:label="lab_obdc_TerminationPeriodFourMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Termination Period Four [Member]</link:label>
    <link:label id="lab_obdc_TerminationPeriodFourMember_documentation_en-US" xlink:label="lab_obdc_TerminationPeriodFourMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Termination Period Four</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_TerminationPeriodFourMember" xlink:href="obdc-20260331.xsd#obdc_TerminationPeriodFourMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_TerminationPeriodFourMember" xlink:to="lab_obdc_TerminationPeriodFourMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtCommitmentToAmerginAssetCoMember_019cafa6-13e3-7f43-ade7-57b435c8eb90_terseLabel_en-US" xlink:label="lab_obdc_DebtCommitmentToAmerginAssetCoMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Commitment To Amergin AssetCo</link:label>
    <link:label id="lab_obdc_DebtCommitmentToAmerginAssetCoMember_label_en-US" xlink:label="lab_obdc_DebtCommitmentToAmerginAssetCoMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Commitment To Amergin AssetCo [Member]</link:label>
    <link:label id="lab_obdc_DebtCommitmentToAmerginAssetCoMember_documentation_en-US" xlink:label="lab_obdc_DebtCommitmentToAmerginAssetCoMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Commitment To Amergin AssetCo</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtCommitmentToAmerginAssetCoMember" xlink:href="obdc-20260331.xsd#obdc_DebtCommitmentToAmerginAssetCoMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtCommitmentToAmerginAssetCoMember" xlink:to="lab_obdc_DebtCommitmentToAmerginAssetCoMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyCapitalShareTransactionsAbstract_019cafa6-136c-7c2d-9c53-2af6671826db_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyCapitalShareTransactionsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Capital Share Transactions</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyCapitalShareTransactionsAbstract_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyCapitalShareTransactionsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Capital Share Transaction, Increase (Decrease) [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyCapitalShareTransactionsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyCapitalShareTransactionsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyCapitalShareTransactionsAbstract" xlink:to="lab_us-gaap_InvestmentCompanyCapitalShareTransactionsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NumberOfOperatingSegments_019cafa6-13e3-7605-88b6-2b5f52490db4_terseLabel_en-US" xlink:label="lab_us-gaap_NumberOfOperatingSegments" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of operating segments</link:label>
    <link:label id="lab_us-gaap_NumberOfOperatingSegments_label_en-US" xlink:label="lab_us-gaap_NumberOfOperatingSegments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of Operating Segments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NumberOfOperatingSegments" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NumberOfOperatingSegments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NumberOfOperatingSegments" xlink:to="lab_us-gaap_NumberOfOperatingSegments" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments_019cafa6-136c-74e2-b648-3c1294ee4e10_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Net amortization/accretion of premium/discount on investments</link:label>
    <link:label id="lab_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments_label_en-US" xlink:label="lab_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Accretion (Amortization) of Discounts and Premiums, Investments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments" xlink:to="lab_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SMBCCapitalMarketsInc.Member_019dafeb-64fb-7f35-a31f-1664d11d68a4_terseLabel_en-US" xlink:label="lab_obdc_SMBCCapitalMarketsInc.Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">SMBC Capital Markets, Inc.</link:label>
    <link:label id="lab_obdc_SMBCCapitalMarketsInc.Member_label_en-US" xlink:label="lab_obdc_SMBCCapitalMarketsInc.Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">SMBC Capital Markets, Inc. [Member]</link:label>
    <link:label id="lab_obdc_SMBCCapitalMarketsInc.Member_documentation_en-US" xlink:label="lab_obdc_SMBCCapitalMarketsInc.Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">SMBC Capital Markets, Inc.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SMBCCapitalMarketsInc.Member" xlink:href="obdc-20260331.xsd#obdc_SMBCCapitalMarketsInc.Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SMBCCapitalMarketsInc.Member" xlink:to="lab_obdc_SMBCCapitalMarketsInc.Member" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BlueOwlCapitalCorporationIIMember_019cafa6-12dd-76a8-bf72-87c64ea50996_terseLabel_en-US" xlink:label="lab_obdc_BlueOwlCapitalCorporationIIMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Blue Owl Capital Corporation II</link:label>
    <link:label id="lab_obdc_BlueOwlCapitalCorporationIIMember_label_en-US" xlink:label="lab_obdc_BlueOwlCapitalCorporationIIMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Blue Owl Capital Corporation II [Member]</link:label>
    <link:label id="lab_obdc_BlueOwlCapitalCorporationIIMember_documentation_en-US" xlink:label="lab_obdc_BlueOwlCapitalCorporationIIMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Blue Owl Capital Corporation II</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BlueOwlCapitalCorporationIIMember" xlink:href="obdc-20260331.xsd#obdc_BlueOwlCapitalCorporationIIMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BlueOwlCapitalCorporationIIMember" xlink:to="lab_obdc_BlueOwlCapitalCorporationIIMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NetIncomeLossAttributableToReportingEntityAbstract_019cafa6-12dd-7a35-8154-d0175d72ac5a_terseLabel_en-US" xlink:label="lab_us-gaap_NetIncomeLossAttributableToReportingEntityAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Net Assets Resulting from Operations</link:label>
    <link:label id="lab_us-gaap_NetIncomeLossAttributableToReportingEntityAbstract_label_en-US" xlink:label="lab_us-gaap_NetIncomeLossAttributableToReportingEntityAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Income (Loss), Including Portion Attributable to Noncontrolling Interest [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLossAttributableToReportingEntityAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetIncomeLossAttributableToReportingEntityAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetIncomeLossAttributableToReportingEntityAbstract" xlink:to="lab_us-gaap_NetIncomeLossAttributableToReportingEntityAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_019cafa6-13e2-7517-9644-fe420bfb606d_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related Party [Axis]</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related and Nonrelated Parties [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyTransactionsByRelatedPartyAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" xlink:to="lab_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyDistributionToShareholdersAbstract_019cafa6-136c-7b8f-b23f-a818cf30c2cd_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyDistributionToShareholdersAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distributions</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyDistributionToShareholdersAbstract_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyDistributionToShareholdersAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Distribution to Shareholders [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyDistributionToShareholdersAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyDistributionToShareholdersAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyDistributionToShareholdersAbstract" xlink:to="lab_us-gaap_InvestmentCompanyDistributionToShareholdersAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList_019cafa6-136c-7998-af06-4f880fc9757e_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value, Asset, Recurring Basis, Still Held, Unrealized Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration]</link:label>
    <link:label id="lab_us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList_label_en-US" xlink:label="lab_us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Asset, Recurring Basis, Still Held, Unrealized Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList" xlink:to="lab_us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXIssuerMember_019cafa6-136c-7314-a885-c1a71b44b597_terseLabel_en-US" xlink:label="lab_obdc_CLOXIssuerMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO X Issuer</link:label>
    <link:label id="lab_obdc_CLOXIssuerMember_label_en-US" xlink:label="lab_obdc_CLOXIssuerMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO X Issuer [Member]</link:label>
    <link:label id="lab_obdc_CLOXIssuerMember_documentation_en-US" xlink:label="lab_obdc_CLOXIssuerMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO X Issuer</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXIssuerMember" xlink:href="obdc-20260331.xsd#obdc_CLOXIssuerMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXIssuerMember" xlink:to="lab_obdc_CLOXIssuerMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_RestatementDateAxis_terseLabel_en-US" xlink:label="lab_ecd_RestatementDateAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Restatement Determination Date:</link:label>
    <link:label id="lab_ecd_RestatementDateAxis_label_en-US" xlink:label="lab_ecd_RestatementDateAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Restatement Determination Date [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_RestatementDateAxis" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_RestatementDateAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_RestatementDateAxis" xlink:to="lab_ecd_RestatementDateAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_RevolvingCreditFacilityAgreementMember_019cafa6-136c-7142-b604-16a996df2ec4_terseLabel_en-US" xlink:label="lab_obdc_RevolvingCreditFacilityAgreementMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Revolving Credit Facility Agreement</link:label>
    <link:label id="lab_obdc_RevolvingCreditFacilityAgreementMember_label_en-US" xlink:label="lab_obdc_RevolvingCreditFacilityAgreementMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Revolving Credit Facility Agreement [Member]</link:label>
    <link:label id="lab_obdc_RevolvingCreditFacilityAgreementMember_documentation_en-US" xlink:label="lab_obdc_RevolvingCreditFacilityAgreementMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Revolving Credit Facility Agreement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_RevolvingCreditFacilityAgreementMember" xlink:href="obdc-20260331.xsd#obdc_RevolvingCreditFacilityAgreementMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_RevolvingCreditFacilityAgreementMember" xlink:to="lab_obdc_RevolvingCreditFacilityAgreementMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTax_019cafa6-136c-7456-b41a-e32a2e0fef99_totalLabel_en-US" xlink:label="lab_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTax" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Net Realized and Change in Unrealized Gain (Loss)</link:label>
    <link:label id="lab_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTax_019cafa6-136c-7e87-8af0-755cc72b040f_terseLabel_en-US" xlink:label="lab_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTax" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total net realized and unrealized gain (loss)</link:label>
    <link:label id="lab_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTax_label_en-US" xlink:label="lab_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gain (Loss), Investment and Derivative, Operating, and Foreign Currency Transaction, after Tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTax" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTax"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTax" xlink:to="lab_us-gaap_RealizedAndUnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTax" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestExpenseDebt_019cafa6-12dd-7c01-aea2-b8eaa1eea5a4_verboseLabel_en-US" xlink:label="lab_us-gaap_InterestExpenseDebt" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Interest expense</link:label>
    <link:label id="lab_us-gaap_InterestExpenseDebt_label_en-US" xlink:label="lab_us-gaap_InterestExpenseDebt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Expense, Debt</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InterestExpenseDebt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestExpenseDebt" xlink:to="lab_us-gaap_InterestExpenseDebt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract_019cafa6-13e3-71ce-aae5-e82df0ae31a6_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Liabilities assumed:</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Liability Assumed, Liability [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract" xlink:to="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_EquityInvestmentsSectorMember_019cafa6-13e2-7723-a5d9-c5e6ec250d86_terseLabel_en-US" xlink:label="lab_obdc_EquityInvestmentsSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Investments</link:label>
    <link:label id="lab_obdc_EquityInvestmentsSectorMember_label_en-US" xlink:label="lab_obdc_EquityInvestmentsSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Investments Sector [Member]</link:label>
    <link:label id="lab_obdc_EquityInvestmentsSectorMember_documentation_en-US" xlink:label="lab_obdc_EquityInvestmentsSectorMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Equity Investments Sector</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_EquityInvestmentsSectorMember" xlink:href="obdc-20260331.xsd#obdc_EquityInvestmentsSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_EquityInvestmentsSectorMember" xlink:to="lab_obdc_EquityInvestmentsSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_EquityCommitmentToLSIFinancingDACMember_019cafa6-136c-76b7-bc28-c52274cd07c0_terseLabel_en-US" xlink:label="lab_obdc_EquityCommitmentToLSIFinancingDACMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Commitment To LSI Financing DAC</link:label>
    <link:label id="lab_obdc_EquityCommitmentToLSIFinancingDACMember_label_en-US" xlink:label="lab_obdc_EquityCommitmentToLSIFinancingDACMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Commitment To LSI Financing DAC [Member]</link:label>
    <link:label id="lab_obdc_EquityCommitmentToLSIFinancingDACMember_documentation_en-US" xlink:label="lab_obdc_EquityCommitmentToLSIFinancingDACMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Equity Commitment To LSI Financing DAC</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_EquityCommitmentToLSIFinancingDACMember" xlink:href="obdc-20260331.xsd#obdc_EquityCommitmentToLSIFinancingDACMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_EquityCommitmentToLSIFinancingDACMember" xlink:to="lab_obdc_EquityCommitmentToLSIFinancingDACMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_TrdArrIndName_terseLabel_en-US" xlink:label="lab_ecd_TrdArrIndName" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Name</link:label>
    <link:label id="lab_ecd_TrdArrIndName_label_en-US" xlink:label="lab_ecd_TrdArrIndName" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trading Arrangement, Individual Name</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TrdArrIndName" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_TrdArrIndName"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TrdArrIndName" xlink:to="lab_ecd_TrdArrIndName" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyFinancialCommitmentToInvesteeFutureAmount_019cafa6-136c-7a7c-8eea-3d2fc16a02bf_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialCommitmentToInvesteeFutureAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total Unfunded Commitments</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyFinancialCommitmentToInvesteeFutureAmount_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialCommitmentToInvesteeFutureAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Financial Support to Investee Contractually Required, Not Provided, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyFinancialCommitmentToInvesteeFutureAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyFinancialCommitmentToInvesteeFutureAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyFinancialCommitmentToInvesteeFutureAmount" xlink:to="lab_us-gaap_InvestmentCompanyFinancialCommitmentToInvesteeFutureAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtVariableRateComponentOneLessThanProductMember_019cafa6-136c-7545-b47d-341917268b57_terseLabel_en-US" xlink:label="lab_obdc_DebtVariableRateComponentOneLessThanProductMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component One, Less Than Product</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentOneLessThanProductMember_label_en-US" xlink:label="lab_obdc_DebtVariableRateComponentOneLessThanProductMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component One Less Than Product [Member]</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentOneLessThanProductMember_documentation_en-US" xlink:label="lab_obdc_DebtVariableRateComponentOneLessThanProductMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component One Less Than Product</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtVariableRateComponentOneLessThanProductMember" xlink:href="obdc-20260331.xsd#obdc_DebtVariableRateComponentOneLessThanProductMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtVariableRateComponentOneLessThanProductMember" xlink:to="lab_obdc_DebtVariableRateComponentOneLessThanProductMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InitialThresholdPercentageMember_019cafa6-12dd-792a-9ef0-4d7293b402f6_terseLabel_en-US" xlink:label="lab_obdc_InitialThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Initial Threshold Percentage</link:label>
    <link:label id="lab_obdc_InitialThresholdPercentageMember_label_en-US" xlink:label="lab_obdc_InitialThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Initial Threshold Percentage [Member]</link:label>
    <link:label id="lab_obdc_InitialThresholdPercentageMember_documentation_en-US" xlink:label="lab_obdc_InitialThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Initial Threshold Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InitialThresholdPercentageMember" xlink:href="obdc-20260331.xsd#obdc_InitialThresholdPercentageMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InitialThresholdPercentageMember" xlink:to="lab_obdc_InitialThresholdPercentageMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentRepurchaseAmount_019cafa6-136c-7d4f-940f-adcdb27803cb_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentRepurchaseAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Redeemed principal amount</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentRepurchaseAmount_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentRepurchaseAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Repurchase Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentRepurchaseAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentRepurchaseAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentRepurchaseAmount" xlink:to="lab_us-gaap_DebtInstrumentRepurchaseAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BlueOwlTechnologyIncomeCorp.Member_019cafa6-136c-7755-b29c-121f49ece3c1_terseLabel_en-US" xlink:label="lab_obdc_BlueOwlTechnologyIncomeCorp.Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Blue Owl Technology Income Corp.</link:label>
    <link:label id="lab_obdc_BlueOwlTechnologyIncomeCorp.Member_label_en-US" xlink:label="lab_obdc_BlueOwlTechnologyIncomeCorp.Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Blue Owl Technology Income Corp. [Member]</link:label>
    <link:label id="lab_obdc_BlueOwlTechnologyIncomeCorp.Member_documentation_en-US" xlink:label="lab_obdc_BlueOwlTechnologyIncomeCorp.Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Blue Owl Technology Income Corp.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BlueOwlTechnologyIncomeCorp.Member" xlink:href="obdc-20260331.xsd#obdc_BlueOwlTechnologyIncomeCorp.Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BlueOwlTechnologyIncomeCorp.Member" xlink:to="lab_obdc_BlueOwlTechnologyIncomeCorp.Member" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DividendsShareDeclaredSupplemental_019cafa6-136c-7441-8b78-8071045c2f1c_terseLabel_en-US" xlink:label="lab_obdc_DividendsShareDeclaredSupplemental" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dividends share supplemental (in shares)</link:label>
    <link:label id="lab_obdc_DividendsShareDeclaredSupplemental_label_en-US" xlink:label="lab_obdc_DividendsShareDeclaredSupplemental" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividends, Share, Declared, Supplemental</link:label>
    <link:label id="lab_obdc_DividendsShareDeclaredSupplemental_documentation_en-US" xlink:label="lab_obdc_DividendsShareDeclaredSupplemental" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Dividends, Share, Declared, Supplemental</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DividendsShareDeclaredSupplemental" xlink:href="obdc-20260331.xsd#obdc_DividendsShareDeclaredSupplemental"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DividendsShareDeclaredSupplemental" xlink:to="lab_obdc_DividendsShareDeclaredSupplemental" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentFaceAmount_019cafa6-136c-7c0f-b484-46703d77142f_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentFaceAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregate Principal Committed</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentFaceAmount_019cafa6-136c-7aef-b9e5-17dffae03007_verboseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentFaceAmount" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Principal amount</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentFaceAmount_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentFaceAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Face Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentFaceAmount" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentFaceAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentFaceAmount" xlink:to="lab_us-gaap_DebtInstrumentFaceAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_ShareRepurchaseProgramAxis_019cafa6-136c-7a20-9133-6a1b94829485_terseLabel_en-US" xlink:label="lab_srt_ShareRepurchaseProgramAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share Repurchase Program [Axis]</link:label>
    <link:label id="lab_srt_ShareRepurchaseProgramAxis_label_en-US" xlink:label="lab_srt_ShareRepurchaseProgramAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share Repurchase Program [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ShareRepurchaseProgramAxis" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ShareRepurchaseProgramAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_ShareRepurchaseProgramAxis" xlink:to="lab_srt_ShareRepurchaseProgramAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PreferredStockMember_019cafa6-136c-71eb-b46e-43d81d8d0b5f_verboseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Preferred equity investments</link:label>
    <link:label id="lab_us-gaap_PreferredStockMember_019cafa6-136c-77dd-bc2a-dd1adf7a7475_terseLabel_en-US" xlink:label="lab_us-gaap_PreferredStockMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Preferred equity investments</link:label>
    <link:label id="lab_us-gaap_PreferredStockMember_label_en-US" xlink:label="lab_us-gaap_PreferredStockMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Preferred Stock [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PreferredStockMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PreferredStockMember" xlink:to="lab_us-gaap_PreferredStockMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable_019cafa6-12dd-7490-aebc-743414edaf16_verboseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Issuance of shares in connection with the OBDE Mergers</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable_019cafa6-12dd-7c41-8b99-69128535f49d_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Common stock issued by the Company</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Consideration Transferred, Equity Interest</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable" xlink:to="lab_us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RestrictedInvestmentsPercentOfNetAssets_019cafa6-136c-7b55-98cb-722b69a0d5dd_terseLabel_en-US" xlink:label="lab_us-gaap_RestrictedInvestmentsPercentOfNetAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Restricted investments as a percentage of net assets</link:label>
    <link:label id="lab_us-gaap_RestrictedInvestmentsPercentOfNetAssets_label_en-US" xlink:label="lab_us-gaap_RestrictedInvestmentsPercentOfNetAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Restricted Investments, Percent of Net Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedInvestmentsPercentOfNetAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RestrictedInvestmentsPercentOfNetAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RestrictedInvestmentsPercentOfNetAssets" xlink:to="lab_us-gaap_RestrictedInvestmentsPercentOfNetAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentIssuerAffiliationDomain_019cafa6-136c-7940-8d8d-4a6fd63b5147_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentIssuerAffiliationDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment, Issuer Affiliation [Domain]</link:label>
    <link:label id="lab_us-gaap_InvestmentIssuerAffiliationDomain_label_en-US" xlink:label="lab_us-gaap_InvestmentIssuerAffiliationDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Issuer Affiliation [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIssuerAffiliationDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIssuerAffiliationDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIssuerAffiliationDomain" xlink:to="lab_us-gaap_InvestmentIssuerAffiliationDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AwardsCloseToMnpiDiscIndName_terseLabel_en-US" xlink:label="lab_ecd_AwardsCloseToMnpiDiscIndName" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Name</link:label>
    <link:label id="lab_ecd_AwardsCloseToMnpiDiscIndName_label_en-US" xlink:label="lab_ecd_AwardsCloseToMnpiDiscIndName" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Awards Close in Time to MNPI Disclosures, Individual Name</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardsCloseToMnpiDiscIndName" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AwardsCloseToMnpiDiscIndName"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardsCloseToMnpiDiscIndName" xlink:to="lab_ecd_AwardsCloseToMnpiDiscIndName" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentCovenantComplianceSecuredDebtRatioEventInterestRate_019cafa6-13e3-78cb-b276-10cf1b1a0ee3_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantComplianceSecuredDebtRatioEventInterestRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Secured debt ratio event, interest rate</link:label>
    <link:label id="lab_obdc_DebtInstrumentCovenantComplianceSecuredDebtRatioEventInterestRate_label_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantComplianceSecuredDebtRatioEventInterestRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Covenant Compliance, Secured Debt Ratio Event, Interest Rate</link:label>
    <link:label id="lab_obdc_DebtInstrumentCovenantComplianceSecuredDebtRatioEventInterestRate_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantComplianceSecuredDebtRatioEventInterestRate" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Covenant Compliance, Secured Debt Ratio Event, Interest Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentCovenantComplianceSecuredDebtRatioEventInterestRate" xlink:href="obdc-20260331.xsd#obdc_DebtInstrumentCovenantComplianceSecuredDebtRatioEventInterestRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentCovenantComplianceSecuredDebtRatioEventInterestRate" xlink:to="lab_obdc_DebtInstrumentCovenantComplianceSecuredDebtRatioEventInterestRate" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AggtErrCompNotYetDeterminedTextBlock_terseLabel_en-US" xlink:label="lab_ecd_AggtErrCompNotYetDeterminedTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregate Erroneous Compensation Not Yet Determined</link:label>
    <link:label id="lab_ecd_AggtErrCompNotYetDeterminedTextBlock_label_en-US" xlink:label="lab_ecd_AggtErrCompNotYetDeterminedTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Aggregate Erroneous Compensation Not Yet Determined [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AggtErrCompNotYetDeterminedTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AggtErrCompNotYetDeterminedTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AggtErrCompNotYetDeterminedTextBlock" xlink:to="lab_ecd_AggtErrCompNotYetDeterminedTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractCADMember_019d9ab9-6637-7e55-9e38-0ac70d23f7ee_terseLabel_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractCADMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign currency forward contract CAD</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractCADMember_label_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractCADMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract CAD [Member]</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractCADMember_documentation_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractCADMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract CAD</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ForeignCurrencyForwardContractCADMember" xlink:href="obdc-20260331.xsd#obdc_ForeignCurrencyForwardContractCADMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ForeignCurrencyForwardContractCADMember" xlink:to="lab_obdc_ForeignCurrencyForwardContractCADMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SecondLienInvestmentsMember_019cafa6-13e3-7b97-8eb5-ea6a21e78904_terseLabel_en-US" xlink:label="lab_obdc_SecondLienInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Second-Lien Investments</link:label>
    <link:label id="lab_obdc_SecondLienInvestmentsMember_label_en-US" xlink:label="lab_obdc_SecondLienInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Second-Lien Investments [Member]</link:label>
    <link:label id="lab_obdc_SecondLienInvestmentsMember_documentation_en-US" xlink:label="lab_obdc_SecondLienInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Second-Lien Investments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SecondLienInvestmentsMember" xlink:href="obdc-20260331.xsd#obdc_SecondLienInvestmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SecondLienInvestmentsMember" xlink:to="lab_obdc_SecondLienInvestmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeStatementLocationAxis_019cafa6-136c-74cb-8a31-58ffac6b37da_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeStatementLocationAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Income Statement Location [Axis]</link:label>
    <link:label id="lab_us-gaap_IncomeStatementLocationAxis_label_en-US" xlink:label="lab_us-gaap_IncomeStatementLocationAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statement of Income Location, Balance [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeStatementLocationAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeStatementLocationAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeStatementLocationAxis" xlink:to="lab_us-gaap_IncomeStatementLocationAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DividendIncomeOperatingPaidInCashPercentageOfInvestmentIncome_019cafa6-136c-7686-8ca3-be1723d60d77_terseLabel_en-US" xlink:label="lab_obdc_DividendIncomeOperatingPaidInCashPercentageOfInvestmentIncome" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">PIK Dividend Income as a % of Investment Income</link:label>
    <link:label id="lab_obdc_DividendIncomeOperatingPaidInCashPercentageOfInvestmentIncome_label_en-US" xlink:label="lab_obdc_DividendIncomeOperatingPaidInCashPercentageOfInvestmentIncome" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividend Income Operating Paid In Cash, Percentage of Investment Income</link:label>
    <link:label id="lab_obdc_DividendIncomeOperatingPaidInCashPercentageOfInvestmentIncome_documentation_en-US" xlink:label="lab_obdc_DividendIncomeOperatingPaidInCashPercentageOfInvestmentIncome" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Dividend Income Operating Paid In Cash, Percentage of Investment Income</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DividendIncomeOperatingPaidInCashPercentageOfInvestmentIncome" xlink:href="obdc-20260331.xsd#obdc_DividendIncomeOperatingPaidInCashPercentageOfInvestmentIncome"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DividendIncomeOperatingPaidInCashPercentageOfInvestmentIncome" xlink:to="lab_obdc_DividendIncomeOperatingPaidInCashPercentageOfInvestmentIncome" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity_019cafa6-12dd-7e8a-8e76-b8b85fe37afb_terseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Amount Available</link:label>
    <link:label id="lab_us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity_label_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Remaining Borrowing Capacity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity" xlink:to="lab_us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_UnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax_019cafa6-136c-7f45-897c-0820b9c44c4d_terseLabel_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net change in unrealized gain (loss)</link:label>
    <link:label id="lab_us-gaap_UnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax_label_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unrealized Gain (Loss), Investment, Derivative, and Foreign Currency Transaction Price Change, Operating, before Tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_UnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax" xlink:to="lab_us-gaap_UnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionPriceChangeOperatingBeforeTax" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_019cafa6-136c-70bd-a12f-d19d40014867_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value Hierarchy and NAV [Domain]</link:label>
    <link:label id="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_label_en-US" xlink:label="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Hierarchy and NAV [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasurementsFairValueHierarchyDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:to="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_RestrictedCashAndCashEquivalentsPeriodIncreaseDecrease_019cafa6-12dd-79a6-980b-b0ec6d06ca31_terseLabel_en-US" xlink:label="lab_obdc_RestrictedCashAndCashEquivalentsPeriodIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net increase (decrease) in restricted cash</link:label>
    <link:label id="lab_obdc_RestrictedCashAndCashEquivalentsPeriodIncreaseDecrease_label_en-US" xlink:label="lab_obdc_RestrictedCashAndCashEquivalentsPeriodIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Restricted Cash And Cash Equivalents, Period Increase (Decrease)</link:label>
    <link:label id="lab_obdc_RestrictedCashAndCashEquivalentsPeriodIncreaseDecrease_documentation_en-US" xlink:label="lab_obdc_RestrictedCashAndCashEquivalentsPeriodIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Restricted Cash And Cash Equivalents, Period Increase (Decrease)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_RestrictedCashAndCashEquivalentsPeriodIncreaseDecrease" xlink:href="obdc-20260331.xsd#obdc_RestrictedCashAndCashEquivalentsPeriodIncreaseDecrease"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_RestrictedCashAndCashEquivalentsPeriodIncreaseDecrease" xlink:to="lab_obdc_RestrictedCashAndCashEquivalentsPeriodIncreaseDecrease" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIClassANotesMember_019cafa6-136c-7abf-bbe3-6d4622d11779_terseLabel_en-US" xlink:label="lab_obdc_CLOIClassANotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I, Class A Notes</link:label>
    <link:label id="lab_obdc_CLOIClassANotesMember_label_en-US" xlink:label="lab_obdc_CLOIClassANotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I, Class A Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIClassANotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIClassANotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I, Class A Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIClassANotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOIClassANotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIClassANotesMember" xlink:to="lab_obdc_CLOIClassANotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIssuerMember_019cafa6-136c-7510-a796-999e18af6baa_terseLabel_en-US" xlink:label="lab_obdc_CLOVIssuerMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO V Issuer</link:label>
    <link:label id="lab_obdc_CLOVIssuerMember_label_en-US" xlink:label="lab_obdc_CLOVIssuerMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO V Issuer [Member]</link:label>
    <link:label id="lab_obdc_CLOVIssuerMember_documentation_en-US" xlink:label="lab_obdc_CLOVIssuerMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO V Issuer</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIssuerMember" xlink:href="obdc-20260331.xsd#obdc_CLOVIssuerMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIssuerMember" xlink:to="lab_obdc_CLOVIssuerMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_PharmaceuticalsMember_019cafa6-136c-7fd1-af52-7bec4da8243b_terseLabel_en-US" xlink:label="lab_obdc_PharmaceuticalsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Pharmaceuticals</link:label>
    <link:label id="lab_obdc_PharmaceuticalsMember_019cafa6-136c-7a6e-bc57-c22d68ed6ac1_verboseLabel_en-US" xlink:label="lab_obdc_PharmaceuticalsMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Pharmaceuticals</link:label>
    <link:label id="lab_obdc_PharmaceuticalsMember_label_en-US" xlink:label="lab_obdc_PharmaceuticalsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Pharmaceuticals [Member]</link:label>
    <link:label id="lab_obdc_PharmaceuticalsMember_documentation_en-US" xlink:label="lab_obdc_PharmaceuticalsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Pharmaceuticals</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_PharmaceuticalsMember" xlink:href="obdc-20260331.xsd#obdc_PharmaceuticalsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_PharmaceuticalsMember" xlink:to="lab_obdc_PharmaceuticalsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RevenueRecognitionPolicyTextBlock_019cafa6-12dd-7155-ac7c-9d28a502953d_terseLabel_en-US" xlink:label="lab_us-gaap_RevenueRecognitionPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest and Dividend Income Recognition and Other Income</link:label>
    <link:label id="lab_us-gaap_RevenueRecognitionPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_RevenueRecognitionPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Revenue [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueRecognitionPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RevenueRecognitionPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RevenueRecognitionPolicyTextBlock" xlink:to="lab_us-gaap_RevenueRecognitionPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SeniorNotesMember_019cafa6-136c-73f3-a0b4-dc702febf2b2_terseLabel_en-US" xlink:label="lab_us-gaap_SeniorNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Senior Notes</link:label>
    <link:label id="lab_us-gaap_SeniorNotesMember_label_en-US" xlink:label="lab_us-gaap_SeniorNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Senior Notes [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SeniorNotesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SeniorNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SeniorNotesMember" xlink:to="lab_us-gaap_SeniorNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SPVAssetFacilityIIMember_019cafa6-136c-7ac5-89ad-011c80a26cb1_terseLabel_en-US" xlink:label="lab_obdc_SPVAssetFacilityIIMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">SPV Asset Facility II</link:label>
    <link:label id="lab_obdc_SPVAssetFacilityIIMember_label_en-US" xlink:label="lab_obdc_SPVAssetFacilityIIMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">SPV Asset Facility II [Member]</link:label>
    <link:label id="lab_obdc_SPVAssetFacilityIIMember_documentation_en-US" xlink:label="lab_obdc_SPVAssetFacilityIIMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">SPV Asset Facility II</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SPVAssetFacilityIIMember" xlink:href="obdc-20260331.xsd#obdc_SPVAssetFacilityIIMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SPVAssetFacilityIIMember" xlink:to="lab_obdc_SPVAssetFacilityIIMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentCompanyUnfundedCommittedCapital_019cafa6-136c-786f-a3b3-077fc2b543cc_terseLabel_en-US" xlink:label="lab_obdc_InvestmentCompanyUnfundedCommittedCapital" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unfunded committed capital</link:label>
    <link:label id="lab_obdc_InvestmentCompanyUnfundedCommittedCapital_label_en-US" xlink:label="lab_obdc_InvestmentCompanyUnfundedCommittedCapital" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Unfunded Committed Capital</link:label>
    <link:label id="lab_obdc_InvestmentCompanyUnfundedCommittedCapital_documentation_en-US" xlink:label="lab_obdc_InvestmentCompanyUnfundedCommittedCapital" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Company, Unfunded Committed Capital</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentCompanyUnfundedCommittedCapital" xlink:href="obdc-20260331.xsd#obdc_InvestmentCompanyUnfundedCommittedCapital"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentCompanyUnfundedCommittedCapital" xlink:to="lab_obdc_InvestmentCompanyUnfundedCommittedCapital" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity_019cafa6-136c-72e7-b0bc-5da30f7a9832_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Proceeds from investments and investment repayments, net</link:label>
    <link:label id="lab_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity_label_en-US" xlink:label="lab_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds from Disposition of Investment, Operating Activity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity" xlink:to="lab_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_019cafa6-136c-7ce2-884b-df7bd55df6b4_totalLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total liabilities assumed</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Liability Assumed, Liability</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities" xlink:to="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractCAD2Member_019dafe9-cddf-7ca9-b123-07a616ea56b0_terseLabel_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractCAD2Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign currency forward contract CAD</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractCAD2Member_label_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractCAD2Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract CAD 2 [Member]</link:label>
    <link:label id="lab_obdc_ForeignCurrencyForwardContractCAD2Member_documentation_en-US" xlink:label="lab_obdc_ForeignCurrencyForwardContractCAD2Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Foreign Currency Forward Contract CAD 2</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ForeignCurrencyForwardContractCAD2Member" xlink:href="obdc-20260331.xsd#obdc_ForeignCurrencyForwardContractCAD2Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ForeignCurrencyForwardContractCAD2Member" xlink:to="lab_obdc_ForeignCurrencyForwardContractCAD2Member" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AllExecutiveCategoriesMember_terseLabel_en-US" xlink:label="lab_ecd_AllExecutiveCategoriesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">All Executive Categories</link:label>
    <link:label id="lab_ecd_AllExecutiveCategoriesMember_label_en-US" xlink:label="lab_ecd_AllExecutiveCategoriesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">All Executive Categories [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AllExecutiveCategoriesMember" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AllExecutiveCategoriesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AllExecutiveCategoriesMember" xlink:to="lab_ecd_AllExecutiveCategoriesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommonStockValue_019cafa6-136c-7201-89d7-ff370a4808d0_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Common shares $0.01 par value, 1,000,000,000 shares authorized; 496,305,391 and 499,448,499 shares issued and outstanding, respectively</link:label>
    <link:label id="lab_us-gaap_CommonStockValue_label_en-US" xlink:label="lab_us-gaap_CommonStockValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Common Stock, Value, Issued</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockValue" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonStockValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockValue" xlink:to="lab_us-gaap_CommonStockValue" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsPrepaidExpenseAndOtherAssets_019cafa6-136c-7a6e-a7dd-41a77a4d9f94_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsPrepaidExpenseAndOtherAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Prepaid expenses and other assets</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsPrepaidExpenseAndOtherAssets_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsPrepaidExpenseAndOtherAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Asset Acquired, Prepaid Expense and Other Asset, Current</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsPrepaidExpenseAndOtherAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsPrepaidExpenseAndOtherAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsPrepaidExpenseAndOtherAssets" xlink:to="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsPrepaidExpenseAndOtherAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable_019cafa6-136c-7c33-8f29-5ec46f938cf5_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Table]</link:label>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable_label_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable" xlink:to="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_LondonInterbankOfferedRateLIBOR1Member_019cafa6-12dd-7927-9d20-149b7303e958_terseLabel_en-US" xlink:label="lab_obdc_LondonInterbankOfferedRateLIBOR1Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">LIBOR</link:label>
    <link:label id="lab_obdc_LondonInterbankOfferedRateLIBOR1Member_label_en-US" xlink:label="lab_obdc_LondonInterbankOfferedRateLIBOR1Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">London Interbank Offered Rate (LIBOR) 1 [Member]</link:label>
    <link:label id="lab_obdc_LondonInterbankOfferedRateLIBOR1Member_documentation_en-US" xlink:label="lab_obdc_LondonInterbankOfferedRateLIBOR1Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">London Interbank Offered Rate (LIBOR) 1</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_LondonInterbankOfferedRateLIBOR1Member" xlink:href="obdc-20260331.xsd#obdc_LondonInterbankOfferedRateLIBOR1Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_LondonInterbankOfferedRateLIBOR1Member" xlink:to="lab_obdc_LondonInterbankOfferedRateLIBOR1Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommitmentsAndContingencies_019cafa6-136c-7d2b-9657-6cc0ae0ae158_terseLabel_en-US" xlink:label="lab_us-gaap_CommitmentsAndContingencies" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Commitments and contingencies (Note 8)</link:label>
    <link:label id="lab_us-gaap_CommitmentsAndContingencies_label_en-US" xlink:label="lab_us-gaap_CommitmentsAndContingencies" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Commitments and Contingencies</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingencies" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommitmentsAndContingencies"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommitmentsAndContingencies" xlink:to="lab_us-gaap_CommitmentsAndContingencies" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_EducationMember_019cafa6-136c-7da5-9956-6cf1f2cfb822_terseLabel_en-US" xlink:label="lab_obdc_EducationMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Education</link:label>
    <link:label id="lab_obdc_EducationMember_label_en-US" xlink:label="lab_obdc_EducationMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Education [Member]</link:label>
    <link:label id="lab_obdc_EducationMember_documentation_en-US" xlink:label="lab_obdc_EducationMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Education</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_EducationMember" xlink:href="obdc-20260331.xsd#obdc_EducationMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_EducationMember" xlink:to="lab_obdc_EducationMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember_019cafa6-12dd-7504-ab6e-34dcce8805a1_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">NAV</link:label>
    <link:label id="lab_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember_label_en-US" xlink:label="lab_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Measured at Net Asset Value Per Share [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xlink:to="lab_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessAcquisitionAxis_019cafa6-136c-79cf-bbc0-b9ffaec94146_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Business Combination [Axis]</link:label>
    <link:label id="lab_us-gaap_BusinessAcquisitionAxis_label_en-US" xlink:label="lab_us-gaap_BusinessAcquisitionAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessAcquisitionAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessAcquisitionAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessAcquisitionAxis" xlink:to="lab_us-gaap_BusinessAcquisitionAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput_019cafa6-13e2-768a-8898-b24e4e1e77f9_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Range (Weighted Average)</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Investment Owned, Measurement Input</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput" xlink:to="lab_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventInterestRate_019cafa6-13e2-7ebb-82fd-c94b69eebb93_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventInterestRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Below investment grade event, interest rate</link:label>
    <link:label id="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventInterestRate_label_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventInterestRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Covenant Compliance, Below Investment Grade Event, Interest Rate</link:label>
    <link:label id="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventInterestRate_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventInterestRate" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Covenant Compliance, Below Investment Grade Event, Interest Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventInterestRate" xlink:href="obdc-20260331.xsd#obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventInterestRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventInterestRate" xlink:to="lab_obdc_DebtInstrumentCovenantComplianceBelowInvestmentGradeEventInterestRate" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAverageInvestment_019cafa6-13e3-72a9-b2a0-c22af0ace8e9_terseLabel_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAverageInvestment" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Average investment</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAverageInvestment_label_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAverageInvestment" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Average Investment</link:label>
    <link:label id="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAverageInvestment_documentation_en-US" xlink:label="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAverageInvestment" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disposal Group, Including Discontinued Operation, Average Investment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DisposalGroupIncludingDiscontinuedOperationAverageInvestment" xlink:href="obdc-20260331.xsd#obdc_DisposalGroupIncludingDiscontinuedOperationAverageInvestment"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DisposalGroupIncludingDiscontinuedOperationAverageInvestment" xlink:to="lab_obdc_DisposalGroupIncludingDiscontinuedOperationAverageInvestment" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_HedgedLiabilityFairValueHedgeCumulativeIncreaseDecrease_019cafa6-12dd-7f81-87fb-2e9224f28f14_terseLabel_en-US" xlink:label="lab_us-gaap_HedgedLiabilityFairValueHedgeCumulativeIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cumulative hedging adjustments, included in carrying amount</link:label>
    <link:label id="lab_us-gaap_HedgedLiabilityFairValueHedgeCumulativeIncreaseDecrease_label_en-US" xlink:label="lab_us-gaap_HedgedLiabilityFairValueHedgeCumulativeIncreaseDecrease" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Hedged Liability, Fair Value Hedge, Cumulative Increase (Decrease)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HedgedLiabilityFairValueHedgeCumulativeIncreaseDecrease" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HedgedLiabilityFairValueHedgeCumulativeIncreaseDecrease"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_HedgedLiabilityFairValueHedgeCumulativeIncreaseDecrease" xlink:to="lab_us-gaap_HedgedLiabilityFairValueHedgeCumulativeIncreaseDecrease" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_PeoActuallyPaidCompAmt_terseLabel_en-US" xlink:label="lab_ecd_PeoActuallyPaidCompAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">PEO Actually Paid Compensation Amount</link:label>
    <link:label id="lab_ecd_PeoActuallyPaidCompAmt_label_en-US" xlink:label="lab_ecd_PeoActuallyPaidCompAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">PEO Actually Paid Compensation Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PeoActuallyPaidCompAmt" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_PeoActuallyPaidCompAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PeoActuallyPaidCompAmt" xlink:to="lab_ecd_PeoActuallyPaidCompAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_HedgingDesignationAxis_019cafa6-13e3-73af-841f-574a1f60e657_terseLabel_en-US" xlink:label="lab_us-gaap_HedgingDesignationAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Hedging Designation [Axis]</link:label>
    <link:label id="lab_us-gaap_HedgingDesignationAxis_label_en-US" xlink:label="lab_us-gaap_HedgingDesignationAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Hedging Designation [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HedgingDesignationAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HedgingDesignationAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_HedgingDesignationAxis" xlink:to="lab_us-gaap_HedgingDesignationAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_July2025NotesMember_019cafa6-12dd-758d-800b-702426ac2ea8_terseLabel_en-US" xlink:label="lab_obdc_July2025NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2026 Notes</link:label>
    <link:label id="lab_obdc_July2025NotesMember_label_en-US" xlink:label="lab_obdc_July2025NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">July 2025 Notes [Member]</link:label>
    <link:label id="lab_obdc_July2025NotesMember_documentation_en-US" xlink:label="lab_obdc_July2025NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">July 2025 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_July2025NotesMember" xlink:href="obdc-20260331.xsd#obdc_July2025NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_July2025NotesMember" xlink:to="lab_obdc_July2025NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InsuranceSectorMember_019cafa6-136c-75b3-87ca-90754b6fd10b_terseLabel_en-US" xlink:label="lab_us-gaap_InsuranceSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Insurance</link:label>
    <link:label id="lab_us-gaap_InsuranceSectorMember_019cafa6-136c-7fb6-a448-b24ef37c4df6_verboseLabel_en-US" xlink:label="lab_us-gaap_InsuranceSectorMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Insurance</link:label>
    <link:label id="lab_us-gaap_InsuranceSectorMember_label_en-US" xlink:label="lab_us-gaap_InsuranceSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Insurance Sector [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InsuranceSectorMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InsuranceSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InsuranceSectorMember" xlink:to="lab_us-gaap_InsuranceSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DistributionsDeclared_019cafa6-13e2-7e6f-a670-1fd8f9e5cd5d_terseLabel_en-US" xlink:label="lab_obdc_DistributionsDeclared" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distributions declared during the period</link:label>
    <link:label id="lab_obdc_DistributionsDeclared_label_en-US" xlink:label="lab_obdc_DistributionsDeclared" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Distributions Declared</link:label>
    <link:label id="lab_obdc_DistributionsDeclared_documentation_en-US" xlink:label="lab_obdc_DistributionsDeclared" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Distributions Declared</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DistributionsDeclared" xlink:href="obdc-20260331.xsd#obdc_DistributionsDeclared"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DistributionsDeclared" xlink:to="lab_obdc_DistributionsDeclared" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeContractTypeDomain_019cafa6-13e2-795c-be17-fcf7de2b1d4e_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeContractTypeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Contract [Domain]</link:label>
    <link:label id="lab_us-gaap_DerivativeContractTypeDomain_label_en-US" xlink:label="lab_us-gaap_DerivativeContractTypeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Contract [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeContractTypeDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeContractTypeDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeContractTypeDomain" xlink:to="lab_us-gaap_DerivativeContractTypeDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfCommonStock_019cafa6-136c-7b69-a509-29b0de70cbfe_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Shares issued under the "at the market" offering</link:label>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfCommonStock_label_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds from Issuance of Common Stock</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromIssuanceOfCommonStock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:to="lab_us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersNet_019cafa6-13e2-73f6-81d2-e78a8e7f1ee4_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersNet" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transfers into (out of) Level 3</link:label>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersNet_label_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Transfers, Net</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersNet"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersNet" xlink:to="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersNet" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AllIndividualsMember_terseLabel_en-US" xlink:label="lab_ecd_AllIndividualsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">All Individuals</link:label>
    <link:label id="lab_ecd_AllIndividualsMember_label_en-US" xlink:label="lab_ecd_AllIndividualsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">All Individuals [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AllIndividualsMember" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AllIndividualsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AllIndividualsMember" xlink:to="lab_ecd_AllIndividualsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongtermDebtTypeDomain_019cafa6-136c-79e0-938f-5e856310030e_terseLabel_en-US" xlink:label="lab_us-gaap_LongtermDebtTypeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Long-Term Debt, Type [Domain]</link:label>
    <link:label id="lab_us-gaap_LongtermDebtTypeDomain_label_en-US" xlink:label="lab_us-gaap_LongtermDebtTypeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Long-Term Debt, Type [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongtermDebtTypeDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LongtermDebtTypeDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LongtermDebtTypeDomain" xlink:to="lab_us-gaap_LongtermDebtTypeDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueDisclosuresAbstract_label_en-US" xlink:label="lab_us-gaap_FairValueDisclosuresAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Disclosures [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueDisclosuresAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueDisclosuresAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueDisclosuresAbstract" xlink:to="lab_us-gaap_FairValueDisclosuresAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiarySummarizedFinancialInformationTableTextBlock_019cafa6-136c-7585-8d03-5362dcc9b060_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiarySummarizedFinancialInformationTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Financial Information</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiarySummarizedFinancialInformationTableTextBlock_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiarySummarizedFinancialInformationTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Nonconsolidated Subsidiary, Summarized Financial Information [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyNonconsolidatedSubsidiarySummarizedFinancialInformationTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyNonconsolidatedSubsidiarySummarizedFinancialInformationTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyNonconsolidatedSubsidiarySummarizedFinancialInformationTableTextBlock" xlink:to="lab_us-gaap_InvestmentCompanyNonconsolidatedSubsidiarySummarizedFinancialInformationTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_RepurchaseProgram2025Member_019cafa6-13e3-70ad-bb8e-f066dc6ce99a_terseLabel_en-US" xlink:label="lab_obdc_RepurchaseProgram2025Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Repurchase Program 2025</link:label>
    <link:label id="lab_obdc_RepurchaseProgram2025Member_label_en-US" xlink:label="lab_obdc_RepurchaseProgram2025Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Repurchase Program 2025 [Member]</link:label>
    <link:label id="lab_obdc_RepurchaseProgram2025Member_documentation_en-US" xlink:label="lab_obdc_RepurchaseProgram2025Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Repurchase Program 2025</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_RepurchaseProgram2025Member" xlink:href="obdc-20260331.xsd#obdc_RepurchaseProgram2025Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_RepurchaseProgram2025Member" xlink:to="lab_obdc_RepurchaseProgram2025Member" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_ForgoneRecoveryIndName_terseLabel_en-US" xlink:label="lab_ecd_ForgoneRecoveryIndName" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Name</link:label>
    <link:label id="lab_ecd_ForgoneRecoveryIndName_label_en-US" xlink:label="lab_ecd_ForgoneRecoveryIndName" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Forgone Recovery, Individual Name</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_ForgoneRecoveryIndName" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_ForgoneRecoveryIndName"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_ForgoneRecoveryIndName" xlink:to="lab_ecd_ForgoneRecoveryIndName" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyDistributionToShareholdersPerShare_019cafa6-136c-7e87-8896-7054a59f575d_negatedLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyDistributionToShareholdersPerShare" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Distributions declared from earnings (in usd per share)</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyDistributionToShareholdersPerShare_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyDistributionToShareholdersPerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Distribution to Shareholders, Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyDistributionToShareholdersPerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyDistributionToShareholdersPerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyDistributionToShareholdersPerShare" xlink:to="lab_us-gaap_InvestmentCompanyDistributionToShareholdersPerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_UnrealizedGainLossOnDerivatives_019cafa6-136c-7724-8fe8-fa3aa9055990_negatedLabel_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossOnDerivatives" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Net change in interest rate swap attributed to unsecured notes</link:label>
    <link:label id="lab_us-gaap_UnrealizedGainLossOnDerivatives_label_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossOnDerivatives" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unrealized Gain (Loss) on Derivatives</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnrealizedGainLossOnDerivatives" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_UnrealizedGainLossOnDerivatives"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnrealizedGainLossOnDerivatives" xlink:to="lab_us-gaap_UnrealizedGainLossOnDerivatives" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_ChngInFrValOfOutsdngAndUnvstdEqtyAwrdsGrntdInPrrYrsMember_terseLabel_en-US" xlink:label="lab_ecd_ChngInFrValOfOutsdngAndUnvstdEqtyAwrdsGrntdInPrrYrsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Year-over-Year Change in Fair Value of Equity Awards Granted in Prior Years That are Outstanding and Unvested</link:label>
    <link:label id="lab_ecd_ChngInFrValOfOutsdngAndUnvstdEqtyAwrdsGrntdInPrrYrsMember_label_en-US" xlink:label="lab_ecd_ChngInFrValOfOutsdngAndUnvstdEqtyAwrdsGrntdInPrrYrsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Year-over-Year Change in Fair Value of Equity Awards Granted in Prior Years That are Outstanding and Unvested [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_ChngInFrValOfOutsdngAndUnvstdEqtyAwrdsGrntdInPrrYrsMember" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_ChngInFrValOfOutsdngAndUnvstdEqtyAwrdsGrntdInPrrYrsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_ChngInFrValOfOutsdngAndUnvstdEqtyAwrdsGrntdInPrrYrsMember" xlink:to="lab_ecd_ChngInFrValOfOutsdngAndUnvstdEqtyAwrdsGrntdInPrrYrsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInDueToAffiliates_019cafa6-136c-7a61-80b4-45b34d51d004_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInDueToAffiliates" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Increase (decrease) in payables to affiliate</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInDueToAffiliates_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInDueToAffiliates" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Due to Affiliates</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInDueToAffiliates" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInDueToAffiliates"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInDueToAffiliates" xlink:to="lab_us-gaap_IncreaseDecreaseInDueToAffiliates" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIIIssuerMember_019cafa6-136c-794b-8b4a-c606bedaccb3_terseLabel_en-US" xlink:label="lab_obdc_CLOIIIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO III Issuer</link:label>
    <link:label id="lab_obdc_CLOIIIIssuerMember_label_en-US" xlink:label="lab_obdc_CLOIIIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO III Issuer [Member]</link:label>
    <link:label id="lab_obdc_CLOIIIIssuerMember_documentation_en-US" xlink:label="lab_obdc_CLOIIIIssuerMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO III Issuer</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIIIssuerMember" xlink:href="obdc-20260331.xsd#obdc_CLOIIIIssuerMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIIIssuerMember" xlink:to="lab_obdc_CLOIIIIssuerMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIClassA2NotesMember_019cafa6-136c-7ba3-943e-bcb965ec8530_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassA2NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-2 Notes</link:label>
    <link:label id="lab_obdc_CLOVIIClassA2NotesMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassA2NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-2 Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassA2NotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassA2NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class A-2 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassA2NotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOVIIClassA2NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassA2NotesMember" xlink:to="lab_obdc_CLOVIIClassA2NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeBasisSpreadOnVariableRate_019cafa6-136c-7626-bb50-afe36ccc168a_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeBasisSpreadOnVariableRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Basis spread on variable rate</link:label>
    <link:label id="lab_us-gaap_DerivativeBasisSpreadOnVariableRate_label_en-US" xlink:label="lab_us-gaap_DerivativeBasisSpreadOnVariableRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative, Basis Spread on Variable Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeBasisSpreadOnVariableRate" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeBasisSpreadOnVariableRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeBasisSpreadOnVariableRate" xlink:to="lab_us-gaap_DerivativeBasisSpreadOnVariableRate" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_ErrCompAnalysisTextBlock_terseLabel_en-US" xlink:label="lab_ecd_ErrCompAnalysisTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Erroneous Compensation Analysis</link:label>
    <link:label id="lab_ecd_ErrCompAnalysisTextBlock_label_en-US" xlink:label="lab_ecd_ErrCompAnalysisTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Erroneous Compensation Analysis [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_ErrCompAnalysisTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_ErrCompAnalysisTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_ErrCompAnalysisTextBlock" xlink:to="lab_ecd_ErrCompAnalysisTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_StatementGeographicalAxis_019cafa6-136c-758c-9e4e-da702a281b0a_terseLabel_en-US" xlink:label="lab_srt_StatementGeographicalAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Geographical [Axis]</link:label>
    <link:label id="lab_srt_StatementGeographicalAxis_label_en-US" xlink:label="lab_srt_StatementGeographicalAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Geographical [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_StatementGeographicalAxis" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_StatementGeographicalAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_StatementGeographicalAxis" xlink:to="lab_srt_StatementGeographicalAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_Rule10b51ArrTrmntdFlag_terseLabel_en-US" xlink:label="lab_ecd_Rule10b51ArrTrmntdFlag" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Rule 10b5-1 Arrangement Terminated</link:label>
    <link:label id="lab_ecd_Rule10b51ArrTrmntdFlag_label_en-US" xlink:label="lab_ecd_Rule10b51ArrTrmntdFlag" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Rule 10b5-1 Arrangement Terminated [Flag]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_Rule10b51ArrTrmntdFlag" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_Rule10b51ArrTrmntdFlag"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_Rule10b51ArrTrmntdFlag" xlink:to="lab_ecd_Rule10b51ArrTrmntdFlag" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIClassBRNotesMember_019cafa6-136c-7b45-a7a1-29137f796436_terseLabel_en-US" xlink:label="lab_obdc_CLOIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO I, Class B-R Notes</link:label>
    <link:label id="lab_obdc_CLOIClassBRNotesMember_label_en-US" xlink:label="lab_obdc_CLOIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO I, Class B-R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIClassBRNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO I, Class B-R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIClassBRNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOIClassBRNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIClassBRNotesMember" xlink:to="lab_obdc_CLOIClassBRNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax_019cafa6-136c-7add-9ff9-d0ac89d5b1b8_totalLabel_en-US" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total net unrealized and realized gain (loss) on foreign currency forward contracts</link:label>
    <link:label id="lab_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax_label_en-US" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gain (Loss), Foreign Currency Transaction, before Tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ForeignCurrencyTransactionGainLossBeforeTax"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax" xlink:to="lab_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfSaleOfStockBySubsidiaryOrEquityMethodInvesteeDisclosureTextBlock_019cafa6-13e2-72ee-8726-864355d55a81_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfSaleOfStockBySubsidiaryOrEquityMethodInvesteeDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Sale of Stock, ATM Offerings</link:label>
    <link:label id="lab_us-gaap_ScheduleOfSaleOfStockBySubsidiaryOrEquityMethodInvesteeDisclosureTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfSaleOfStockBySubsidiaryOrEquityMethodInvesteeDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Sale of Stock by Subsidiary or Equity Method Investee Disclosure [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfSaleOfStockBySubsidiaryOrEquityMethodInvesteeDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfSaleOfStockBySubsidiaryOrEquityMethodInvesteeDisclosureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfSaleOfStockBySubsidiaryOrEquityMethodInvesteeDisclosureTextBlock" xlink:to="lab_us-gaap_ScheduleOfSaleOfStockBySubsidiaryOrEquityMethodInvesteeDisclosureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_ErrCompRecoveryTable_terseLabel_en-US" xlink:label="lab_ecd_ErrCompRecoveryTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Erroneously Awarded Compensation Recovery</link:label>
    <link:label id="lab_ecd_ErrCompRecoveryTable_label_en-US" xlink:label="lab_ecd_ErrCompRecoveryTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Erroneously Awarded Compensation Recovery [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_ErrCompRecoveryTable" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_ErrCompRecoveryTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_ErrCompRecoveryTable" xlink:to="lab_ecd_ErrCompRecoveryTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ConcentrationRiskBenchmarkDomain_019cafa6-12dd-731f-9535-2835e28c1dff_terseLabel_en-US" xlink:label="lab_us-gaap_ConcentrationRiskBenchmarkDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Concentration Risk Benchmark [Domain]</link:label>
    <link:label id="lab_us-gaap_ConcentrationRiskBenchmarkDomain_label_en-US" xlink:label="lab_us-gaap_ConcentrationRiskBenchmarkDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Concentration Risk Benchmark [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ConcentrationRiskBenchmarkDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ConcentrationRiskBenchmarkDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ConcentrationRiskBenchmarkDomain" xlink:to="lab_us-gaap_ConcentrationRiskBenchmarkDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestIncomeOperating_019cafa6-136c-7112-9ece-3c251f78d3f7_terseLabel_en-US" xlink:label="lab_us-gaap_InterestIncomeOperating" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest income</link:label>
    <link:label id="lab_us-gaap_InterestIncomeOperating_label_en-US" xlink:label="lab_us-gaap_InterestIncomeOperating" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Income, Operating</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeOperating" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InterestIncomeOperating"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestIncomeOperating" xlink:to="lab_us-gaap_InterestIncomeOperating" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_Security12bTitle_019cafa6-13e2-7e8c-952f-2986c04964db_terseLabel_en-US" xlink:label="lab_dei_Security12bTitle" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Title of 12(b) Security</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_Security12bTitle"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_Security12bTitle" xlink:to="lab_dei_Security12bTitle" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EarningsPerShareAbstract_019cafa6-13e2-7da2-a09e-04e82a704593_terseLabel_en-US" xlink:label="lab_us-gaap_EarningsPerShareAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Earnings Per Share [Abstract]</link:label>
    <link:label id="lab_us-gaap_EarningsPerShareAbstract_label_en-US" xlink:label="lab_us-gaap_EarningsPerShareAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Earnings Per Share [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EarningsPerShareAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EarningsPerShareAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EarningsPerShareAbstract" xlink:to="lab_us-gaap_EarningsPerShareAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentIncomeOperatingAfterExpenseAndTax_019cafa6-136c-7037-872a-c264048dfdaa_totalLabel_en-US" xlink:label="lab_us-gaap_InvestmentIncomeOperatingAfterExpenseAndTax" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net Investment Income (Loss) After Taxes</link:label>
    <link:label id="lab_us-gaap_InvestmentIncomeOperatingAfterExpenseAndTax_019cafa6-136c-71b9-b7fa-6ca1f504659d_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentIncomeOperatingAfterExpenseAndTax" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net investment income (loss)</link:label>
    <link:label id="lab_us-gaap_InvestmentIncomeOperatingAfterExpenseAndTax_label_en-US" xlink:label="lab_us-gaap_InvestmentIncomeOperatingAfterExpenseAndTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Income, Operating, after Expense and Tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIncomeOperatingAfterExpenseAndTax" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIncomeOperatingAfterExpenseAndTax"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIncomeOperatingAfterExpenseAndTax" xlink:to="lab_us-gaap_InvestmentIncomeOperatingAfterExpenseAndTax" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIClassCNotesMember_019cafa6-136c-7940-b33b-99b93c15247e_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassCNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class C Notes</link:label>
    <link:label id="lab_obdc_CLOVIIClassCNotesMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassCNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class C Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassCNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassCNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class C Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassCNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOVIIClassCNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassCNotesMember" xlink:to="lab_obdc_CLOVIIClassCNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestIncomeAndInterestExpenseDisclosureTableTextBlock_019cafa6-12dd-776e-8f21-f38849c117b5_terseLabel_en-US" xlink:label="lab_us-gaap_InterestIncomeAndInterestExpenseDisclosureTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Components of Interest Expense</link:label>
    <link:label id="lab_us-gaap_InterestIncomeAndInterestExpenseDisclosureTableTextBlock_label_en-US" xlink:label="lab_us-gaap_InterestIncomeAndInterestExpenseDisclosureTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Income and Interest Expense Disclosure [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeAndInterestExpenseDisclosureTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InterestIncomeAndInterestExpenseDisclosureTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestIncomeAndInterestExpenseDisclosureTableTextBlock" xlink:to="lab_us-gaap_InterestIncomeAndInterestExpenseDisclosureTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BuildingsAndRealEstateMember_019cafa6-13e2-7c38-b32e-218a35da8abc_terseLabel_en-US" xlink:label="lab_obdc_BuildingsAndRealEstateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Buildings and real estate</link:label>
    <link:label id="lab_obdc_BuildingsAndRealEstateMember_label_en-US" xlink:label="lab_obdc_BuildingsAndRealEstateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Buildings And Real Estate [Member]</link:label>
    <link:label id="lab_obdc_BuildingsAndRealEstateMember_documentation_en-US" xlink:label="lab_obdc_BuildingsAndRealEstateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Buildings And Real Estate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BuildingsAndRealEstateMember" xlink:href="obdc-20260331.xsd#obdc_BuildingsAndRealEstateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BuildingsAndRealEstateMember" xlink:to="lab_obdc_BuildingsAndRealEstateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentRevolvingPeriod_019cafa6-12dd-778a-9f91-23dd54a09c7c_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentRevolvingPeriod" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt instrument revolving period</link:label>
    <link:label id="lab_obdc_DebtInstrumentRevolvingPeriod_label_en-US" xlink:label="lab_obdc_DebtInstrumentRevolvingPeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument Revolving Period</link:label>
    <link:label id="lab_obdc_DebtInstrumentRevolvingPeriod_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentRevolvingPeriod" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument Revolving Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentRevolvingPeriod" xlink:href="obdc-20260331.xsd#obdc_DebtInstrumentRevolvingPeriod"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentRevolvingPeriod" xlink:to="lab_obdc_DebtInstrumentRevolvingPeriod" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIIMember_019cafa6-12dd-79c7-8b4b-54218450a399_terseLabel_en-US" xlink:label="lab_obdc_CLOIIIMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO III</link:label>
    <link:label id="lab_obdc_CLOIIIMember_label_en-US" xlink:label="lab_obdc_CLOIIIMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO III [Member]</link:label>
    <link:label id="lab_obdc_CLOIIIMember_documentation_en-US" xlink:label="lab_obdc_CLOIIIMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO III</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIIMember" xlink:href="obdc-20260331.xsd#obdc_CLOIIIMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIIMember" xlink:to="lab_obdc_CLOIIIMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_HouseholdProductsMember_019cafa6-13e2-7c8d-9ee6-0fd42af1a8ca_terseLabel_en-US" xlink:label="lab_obdc_HouseholdProductsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Household products</link:label>
    <link:label id="lab_obdc_HouseholdProductsMember_label_en-US" xlink:label="lab_obdc_HouseholdProductsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Household Products [Member]</link:label>
    <link:label id="lab_obdc_HouseholdProductsMember_documentation_en-US" xlink:label="lab_obdc_HouseholdProductsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Household Products</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_HouseholdProductsMember" xlink:href="obdc-20260331.xsd#obdc_HouseholdProductsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_HouseholdProductsMember" xlink:to="lab_obdc_HouseholdProductsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AdministrativeFeesExpense_019cafa6-12dd-7a2d-937b-3ee3f3314a7d_terseLabel_en-US" xlink:label="lab_us-gaap_AdministrativeFeesExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Administrative fees expense</link:label>
    <link:label id="lab_us-gaap_AdministrativeFeesExpense_label_en-US" xlink:label="lab_us-gaap_AdministrativeFeesExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Administrative Fees Expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdministrativeFeesExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AdministrativeFeesExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AdministrativeFeesExpense" xlink:to="lab_us-gaap_AdministrativeFeesExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CashHeldInForeignCurrency_019cafa6-136c-7775-a61a-2ae08b842bd3_terseLabel_en-US" xlink:label="lab_us-gaap_CashHeldInForeignCurrency" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign cash (cost of $39,615 and $9,722, respectively)</link:label>
    <link:label id="lab_us-gaap_CashHeldInForeignCurrency_label_en-US" xlink:label="lab_us-gaap_CashHeldInForeignCurrency" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash and Cash Equivalent, Held in Foreign Currency</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashHeldInForeignCurrency" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashHeldInForeignCurrency"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashHeldInForeignCurrency" xlink:to="lab_us-gaap_CashHeldInForeignCurrency" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems_019cafa6-136c-777e-90fb-69e595a6138d_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]</link:label>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems_label_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems" xlink:to="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentIncomeOperatingTaxExpenseBenefit_019cafa6-136c-7873-a03f-aff1de5d7e0c_verboseLabel_en-US" xlink:label="lab_us-gaap_InvestmentIncomeOperatingTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Income tax expense (benefit), including excise tax expense (benefit)</link:label>
    <link:label id="lab_us-gaap_InvestmentIncomeOperatingTaxExpenseBenefit_019cafa6-136c-7055-a6b3-6de9fe181516_netLabel_en-US" xlink:label="lab_us-gaap_InvestmentIncomeOperatingTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:type="resource" xml:lang="en-US">U.S. federal income tax expense (benefit)</link:label>
    <link:label id="lab_us-gaap_InvestmentIncomeOperatingTaxExpenseBenefit_label_en-US" xlink:label="lab_us-gaap_InvestmentIncomeOperatingTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Income, Operating, Tax Expense (Benefit)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIncomeOperatingTaxExpenseBenefit" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIncomeOperatingTaxExpenseBenefit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIncomeOperatingTaxExpenseBenefit" xlink:to="lab_us-gaap_InvestmentIncomeOperatingTaxExpenseBenefit" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AwardTmgDiscLineItems_label_en-US" xlink:label="lab_ecd_AwardTmgDiscLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Timing Disclosures [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AwardTmgDiscLineItems" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AwardTmgDiscLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardTmgDiscLineItems" xlink:to="lab_ecd_AwardTmgDiscLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_O2026Q1DividendsMember_019d1ef8-4bb6-7be7-bbb8-cb84f74f75fe_terseLabel_en-US" xlink:label="lab_obdc_O2026Q1DividendsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">O 2026 Q1 Dividends</link:label>
    <link:label id="lab_obdc_O2026Q1DividendsMember_label_en-US" xlink:label="lab_obdc_O2026Q1DividendsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">O 2026 Q1 Dividends [Member]</link:label>
    <link:label id="lab_obdc_O2026Q1DividendsMember_documentation_en-US" xlink:label="lab_obdc_O2026Q1DividendsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">O 2026 Q1 Dividends</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_O2026Q1DividendsMember" xlink:href="obdc-20260331.xsd#obdc_O2026Q1DividendsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_O2026Q1DividendsMember" xlink:to="lab_obdc_O2026Q1DividendsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIClassBRNotesMember_019cafa6-136c-7702-a20d-ba169927cf65_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII, Class B-R Notes</link:label>
    <link:label id="lab_obdc_CLOVIIClassBRNotesMember_label_en-US" xlink:label="lab_obdc_CLOVIIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII, Class B-R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIClassBRNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIClassBRNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII, Class B-R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIClassBRNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOVIIClassBRNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIClassBRNotesMember" xlink:to="lab_obdc_CLOVIIClassBRNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockholdersEquityNoteDisclosureTextBlock_019cafa6-136c-7431-9403-57ee946280fb_terseLabel_en-US" xlink:label="lab_us-gaap_StockholdersEquityNoteDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Assets</link:label>
    <link:label id="lab_us-gaap_StockholdersEquityNoteDisclosureTextBlock_label_en-US" xlink:label="lab_us-gaap_StockholdersEquityNoteDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityNoteDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockholdersEquityNoteDisclosureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockholdersEquityNoteDisclosureTextBlock" xlink:to="lab_us-gaap_StockholdersEquityNoteDisclosureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_RelatedPartyTransactionContractTerm_019cafa6-136c-72e1-9815-bba0ccfa86db_terseLabel_en-US" xlink:label="lab_obdc_RelatedPartyTransactionContractTerm" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Contract term</link:label>
    <link:label id="lab_obdc_RelatedPartyTransactionContractTerm_label_en-US" xlink:label="lab_obdc_RelatedPartyTransactionContractTerm" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction, Contract Term</link:label>
    <link:label id="lab_obdc_RelatedPartyTransactionContractTerm_documentation_en-US" xlink:label="lab_obdc_RelatedPartyTransactionContractTerm" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Related Party Transaction, Contract Term</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_RelatedPartyTransactionContractTerm" xlink:href="obdc-20260331.xsd#obdc_RelatedPartyTransactionContractTerm"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_RelatedPartyTransactionContractTerm" xlink:to="lab_obdc_RelatedPartyTransactionContractTerm" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentInterestRateDuringPeriod_019cafa6-12dd-785c-8882-c4f11aa8f5f3_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentInterestRateDuringPeriod" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Average interest rate</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentInterestRateDuringPeriod_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentInterestRateDuringPeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Interest Rate During Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentInterestRateDuringPeriod" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentInterestRateDuringPeriod"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentInterestRateDuringPeriod" xlink:to="lab_us-gaap_DebtInstrumentInterestRateDuringPeriod" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NetIncomeLoss_019cafa6-12dd-7a60-9c65-de0da98f675e_totalLabel_en-US" xlink:label="lab_us-gaap_NetIncomeLoss" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net Increase (Decrease) in Net Assets Resulting from Operations</link:label>
    <link:label id="lab_us-gaap_NetIncomeLoss_019cafa6-12dd-7836-9ac9-a95d96a18e30_terseLabel_en-US" xlink:label="lab_us-gaap_NetIncomeLoss" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Increase (Decrease) in Net Assets Resulting from Operations</link:label>
    <link:label id="lab_us-gaap_NetIncomeLoss_019cafa6-12dd-749a-85c0-78882fffb605_verboseLabel_en-US" xlink:label="lab_us-gaap_NetIncomeLoss" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Increase (decrease) in net assets resulting from operations</link:label>
    <link:label id="lab_us-gaap_NetIncomeLoss_label_en-US" xlink:label="lab_us-gaap_NetIncomeLoss" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Income (Loss) Attributable to Parent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetIncomeLoss"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetIncomeLoss" xlink:to="lab_us-gaap_NetIncomeLoss" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsequentEventTable_019cafa6-136c-70ca-b175-9b161380948c_terseLabel_en-US" xlink:label="lab_us-gaap_SubsequentEventTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subsequent Event [Table]</link:label>
    <link:label id="lab_us-gaap_SubsequentEventTable_label_en-US" xlink:label="lab_us-gaap_SubsequentEventTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsequent Event [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsequentEventTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventTable" xlink:to="lab_us-gaap_SubsequentEventTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsidiaryOrEquityMethodInvesteeLineItems_019cafa6-12dd-7b7e-91da-41e76c5cc303_terseLabel_en-US" xlink:label="lab_us-gaap_SubsidiaryOrEquityMethodInvesteeLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subsidiary or Equity Method Investee [Line Items]</link:label>
    <link:label id="lab_us-gaap_SubsidiaryOrEquityMethodInvesteeLineItems_label_en-US" xlink:label="lab_us-gaap_SubsidiaryOrEquityMethodInvesteeLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsidiary or Equity Method Investee [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsidiaryOrEquityMethodInvesteeLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsidiaryOrEquityMethodInvesteeLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsidiaryOrEquityMethodInvesteeLineItems" xlink:to="lab_us-gaap_SubsidiaryOrEquityMethodInvesteeLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOXClassAL1LoansMember_019cafa6-13e2-76c9-9e36-e1c2de990ecb_terseLabel_en-US" xlink:label="lab_obdc_CLOXClassAL1LoansMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO X, Class A-L1 Loans</link:label>
    <link:label id="lab_obdc_CLOXClassAL1LoansMember_label_en-US" xlink:label="lab_obdc_CLOXClassAL1LoansMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO X, Class A-L1 Loans [Member]</link:label>
    <link:label id="lab_obdc_CLOXClassAL1LoansMember_documentation_en-US" xlink:label="lab_obdc_CLOXClassAL1LoansMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO X, Class A-L1 Loans</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOXClassAL1LoansMember" xlink:href="obdc-20260331.xsd#obdc_CLOXClassAL1LoansMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOXClassAL1LoansMember" xlink:to="lab_obdc_CLOXClassAL1LoansMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PaymentsForRepurchaseOfCommonStock_019cafa6-136c-746c-b289-6bf72d57e05a_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_PaymentsForRepurchaseOfCommonStock" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Repurchases of common stock</link:label>
    <link:label id="lab_us-gaap_PaymentsForRepurchaseOfCommonStock_019cafa6-136c-7979-a592-05bbf045d0ed_terseLabel_en-US" xlink:label="lab_us-gaap_PaymentsForRepurchaseOfCommonStock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Repurchases of common stock</link:label>
    <link:label id="lab_us-gaap_PaymentsForRepurchaseOfCommonStock_label_en-US" xlink:label="lab_us-gaap_PaymentsForRepurchaseOfCommonStock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payments for Repurchase of Common Stock</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForRepurchaseOfCommonStock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsForRepurchaseOfCommonStock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsForRepurchaseOfCommonStock" xlink:to="lab_us-gaap_PaymentsForRepurchaseOfCommonStock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_TrdArrAdoptionDate_terseLabel_en-US" xlink:label="lab_ecd_TrdArrAdoptionDate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Adoption Date</link:label>
    <link:label id="lab_ecd_TrdArrAdoptionDate_label_en-US" xlink:label="lab_ecd_TrdArrAdoptionDate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trading Arrangement Adoption Date</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TrdArrAdoptionDate" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_TrdArrAdoptionDate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TrdArrAdoptionDate" xlink:to="lab_ecd_TrdArrAdoptionDate" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BaseRateMember_019cafa6-12dd-7f48-bd0b-efc4f9312047_terseLabel_en-US" xlink:label="lab_us-gaap_BaseRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Base Rate</link:label>
    <link:label id="lab_us-gaap_BaseRateMember_label_en-US" xlink:label="lab_us-gaap_BaseRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Base Rate [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BaseRateMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BaseRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BaseRateMember" xlink:to="lab_us-gaap_BaseRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PriorPeriodReclassificationAdjustmentDescription_019cafa6-13e2-7975-a57e-c2065fccb975_terseLabel_en-US" xlink:label="lab_us-gaap_PriorPeriodReclassificationAdjustmentDescription" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Reclassifications</link:label>
    <link:label id="lab_us-gaap_PriorPeriodReclassificationAdjustmentDescription_label_en-US" xlink:label="lab_us-gaap_PriorPeriodReclassificationAdjustmentDescription" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Reclassification, Comparability Adjustment [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PriorPeriodReclassificationAdjustmentDescription" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PriorPeriodReclassificationAdjustmentDescription"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PriorPeriodReclassificationAdjustmentDescription" xlink:to="lab_us-gaap_PriorPeriodReclassificationAdjustmentDescription" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SharesIssuedPricePerShare_019cafa6-136c-7685-83d5-b40e6a4d0705_terseLabel_en-US" xlink:label="lab_us-gaap_SharesIssuedPricePerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Issue price (in usd per share)</link:label>
    <link:label id="lab_us-gaap_SharesIssuedPricePerShare_label_en-US" xlink:label="lab_us-gaap_SharesIssuedPricePerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Shares Issued, Price Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SharesIssuedPricePerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SharesIssuedPricePerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SharesIssuedPricePerShare" xlink:to="lab_us-gaap_SharesIssuedPricePerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebt_019cafa6-13e2-7d5d-898a-baed2a6dc7e4_terseLabel_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt (net of unamortized debt issuance costs of $28,157)</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebt_label_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Liability Assumed, Long-term Debt</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebt_documentation_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebt" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Liability Assumed, Long-term Debt</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebt" xlink:href="obdc-20260331.xsd#obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebt" xlink:to="lab_obdc_BusinessCombinationRecognizedLiabilityAssumedLongTermDebt" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SixMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_019cafa6-136c-77f9-b6f3-084ab2616e1c_terseLabel_en-US" xlink:label="lab_obdc_SixMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subject To 6 Months</link:label>
    <link:label id="lab_obdc_SixMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_label_en-US" xlink:label="lab_obdc_SixMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Six Months Secured Overnight Financing Rate Sofr Overnight Index Swap Rate [Member]</link:label>
    <link:label id="lab_obdc_SixMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_documentation_en-US" xlink:label="lab_obdc_SixMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Six Months Secured Overnight Financing Rate Sofr Overnight Index Swap Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SixMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:href="obdc-20260331.xsd#obdc_SixMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SixMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:to="lab_obdc_SixMonthsSecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ManagementAndServiceFeesIncentiveRate_019cafa6-136c-72df-8a49-a9c2ad604ffe_terseLabel_en-US" xlink:label="lab_us-gaap_ManagementAndServiceFeesIncentiveRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Incentive rate</link:label>
    <link:label id="lab_us-gaap_ManagementAndServiceFeesIncentiveRate_label_en-US" xlink:label="lab_us-gaap_ManagementAndServiceFeesIncentiveRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Management and Service Fees, Incentive Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ManagementAndServiceFeesIncentiveRate" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ManagementAndServiceFeesIncentiveRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ManagementAndServiceFeesIncentiveRate" xlink:to="lab_us-gaap_ManagementAndServiceFeesIncentiveRate" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentInterestRate_019cafa6-12dd-7219-b7a1-7178597312d3_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentInterestRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest rate</link:label>
    <link:label id="lab_us-gaap_InvestmentInterestRate_label_en-US" xlink:label="lab_us-gaap_InvestmentInterestRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Interest Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentInterestRate" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentInterestRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentInterestRate" xlink:to="lab_us-gaap_InvestmentInterestRate" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentPrepaymentPenaltyTerm_019cafa6-136c-721d-8378-fe423a04c0b7_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentPrepaymentPenaltyTerm" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt instrument prepayment penalty term</link:label>
    <link:label id="lab_obdc_DebtInstrumentPrepaymentPenaltyTerm_label_en-US" xlink:label="lab_obdc_DebtInstrumentPrepaymentPenaltyTerm" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument Prepayment Penalty Term</link:label>
    <link:label id="lab_obdc_DebtInstrumentPrepaymentPenaltyTerm_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentPrepaymentPenaltyTerm" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument Prepayment Penalty Term</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentPrepaymentPenaltyTerm" xlink:href="obdc-20260331.xsd#obdc_DebtInstrumentPrepaymentPenaltyTerm"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentPrepaymentPenaltyTerm" xlink:to="lab_obdc_DebtInstrumentPrepaymentPenaltyTerm" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LineOfCreditMember_019cafa6-136c-7fa6-9fee-5b62d14849c6_verboseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Line of credit</link:label>
    <link:label id="lab_us-gaap_LineOfCreditMember_019cafa6-136c-7109-a39c-47784d716488_terseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Line of Credit</link:label>
    <link:label id="lab_us-gaap_LineOfCreditMember_label_en-US" xlink:label="lab_us-gaap_LineOfCreditMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line of Credit [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditMember" xlink:to="lab_us-gaap_LineOfCreditMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RetainedEarningsAccumulatedDeficit_019cafa6-13e2-7280-9764-fc65964a413c_terseLabel_en-US" xlink:label="lab_us-gaap_RetainedEarningsAccumulatedDeficit" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accumulated undistributed (overdistributed) earnings</link:label>
    <link:label id="lab_us-gaap_RetainedEarningsAccumulatedDeficit_label_en-US" xlink:label="lab_us-gaap_RetainedEarningsAccumulatedDeficit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Retained Earnings (Accumulated Deficit)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsAccumulatedDeficit" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RetainedEarningsAccumulatedDeficit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RetainedEarningsAccumulatedDeficit" xlink:to="lab_us-gaap_RetainedEarningsAccumulatedDeficit" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVClassA2NotesMember_019cafa6-136c-7699-bd57-818dfb3911da_terseLabel_en-US" xlink:label="lab_obdc_CLOVClassA2NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO V, Class A-2 Notes</link:label>
    <link:label id="lab_obdc_CLOVClassA2NotesMember_label_en-US" xlink:label="lab_obdc_CLOVClassA2NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO V, Class A-2 Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVClassA2NotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVClassA2NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO V, Class A-2 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVClassA2NotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOVClassA2NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVClassA2NotesMember" xlink:to="lab_obdc_CLOVClassA2NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_EquityCommitmentsMember_019cafa6-136c-70cf-a760-e9500a312cf8_terseLabel_en-US" xlink:label="lab_obdc_EquityCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity commitments</link:label>
    <link:label id="lab_obdc_EquityCommitmentsMember_label_en-US" xlink:label="lab_obdc_EquityCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Commitments [Member]</link:label>
    <link:label id="lab_obdc_EquityCommitmentsMember_documentation_en-US" xlink:label="lab_obdc_EquityCommitmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Equity Commitments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_EquityCommitmentsMember" xlink:href="obdc-20260331.xsd#obdc_EquityCommitmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_EquityCommitmentsMember" xlink:to="lab_obdc_EquityCommitmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_YrEndFrValOfEqtyAwrdsGrntdInCvrdYrOutsdngAndUnvstdMember_terseLabel_en-US" xlink:label="lab_ecd_YrEndFrValOfEqtyAwrdsGrntdInCvrdYrOutsdngAndUnvstdMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Year-end Fair Value of Equity Awards Granted in Covered Year that are Outstanding and Unvested</link:label>
    <link:label id="lab_ecd_YrEndFrValOfEqtyAwrdsGrntdInCvrdYrOutsdngAndUnvstdMember_label_en-US" xlink:label="lab_ecd_YrEndFrValOfEqtyAwrdsGrntdInCvrdYrOutsdngAndUnvstdMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Year-end Fair Value of Equity Awards Granted in Covered Year that are Outstanding and Unvested [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_YrEndFrValOfEqtyAwrdsGrntdInCvrdYrOutsdngAndUnvstdMember" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_YrEndFrValOfEqtyAwrdsGrntdInCvrdYrOutsdngAndUnvstdMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_YrEndFrValOfEqtyAwrdsGrntdInCvrdYrOutsdngAndUnvstdMember" xlink:to="lab_ecd_YrEndFrValOfEqtyAwrdsGrntdInCvrdYrOutsdngAndUnvstdMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtInstrumentPrincipalPaymentPercentage_019cafa6-13e3-727c-8caa-b76f7e03cbe0_terseLabel_en-US" xlink:label="lab_obdc_DebtInstrumentPrincipalPaymentPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Principal payment percentage</link:label>
    <link:label id="lab_obdc_DebtInstrumentPrincipalPaymentPercentage_label_en-US" xlink:label="lab_obdc_DebtInstrumentPrincipalPaymentPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Principal Payment Percentage</link:label>
    <link:label id="lab_obdc_DebtInstrumentPrincipalPaymentPercentage_documentation_en-US" xlink:label="lab_obdc_DebtInstrumentPrincipalPaymentPercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Principal Payment Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtInstrumentPrincipalPaymentPercentage" xlink:href="obdc-20260331.xsd#obdc_DebtInstrumentPrincipalPaymentPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtInstrumentPrincipalPaymentPercentage" xlink:to="lab_obdc_DebtInstrumentPrincipalPaymentPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsequentEventTypeDomain_019cafa6-12dd-7baf-8ac8-755851908872_terseLabel_en-US" xlink:label="lab_us-gaap_SubsequentEventTypeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subsequent Event Type [Domain]</link:label>
    <link:label id="lab_us-gaap_SubsequentEventTypeDomain_label_en-US" xlink:label="lab_us-gaap_SubsequentEventTypeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsequent Event Type [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventTypeDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsequentEventTypeDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventTypeDomain" xlink:to="lab_us-gaap_SubsequentEventTypeDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_OneMonthEURIBORMember_019cafa6-13e2-79b7-8d4b-b9ddc14f276b_terseLabel_en-US" xlink:label="lab_obdc_OneMonthEURIBORMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subject to 1 month EURIBOR</link:label>
    <link:label id="lab_obdc_OneMonthEURIBORMember_label_en-US" xlink:label="lab_obdc_OneMonthEURIBORMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">One Month EURIBOR [Member]</link:label>
    <link:label id="lab_obdc_OneMonthEURIBORMember_documentation_en-US" xlink:label="lab_obdc_OneMonthEURIBORMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">One Month EURIBOR</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_OneMonthEURIBORMember" xlink:href="obdc-20260331.xsd#obdc_OneMonthEURIBORMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_OneMonthEURIBORMember" xlink:to="lab_obdc_OneMonthEURIBORMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_EqtyAwrdsInSummryCompstnTblForAplblYrMember_terseLabel_en-US" xlink:label="lab_ecd_EqtyAwrdsInSummryCompstnTblForAplblYrMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregate Grant Date Fair Value of Equity Award Amounts Reported in Summary Compensation Table</link:label>
    <link:label id="lab_ecd_EqtyAwrdsInSummryCompstnTblForAplblYrMember_label_en-US" xlink:label="lab_ecd_EqtyAwrdsInSummryCompstnTblForAplblYrMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Aggregate Grant Date Fair Value of Equity Award Amounts Reported in Summary Compensation Table [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_EqtyAwrdsInSummryCompstnTblForAplblYrMember" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_EqtyAwrdsInSummryCompstnTblForAplblYrMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_EqtyAwrdsInSummryCompstnTblForAplblYrMember" xlink:to="lab_ecd_EqtyAwrdsInSummryCompstnTblForAplblYrMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVIIRefinancingAdditionalPreferredSharesMember_019cafa6-136c-7ecc-a053-6c4182006a54_terseLabel_en-US" xlink:label="lab_obdc_CLOVIIRefinancingAdditionalPreferredSharesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO VII Refinancing Additional Preferred Shares</link:label>
    <link:label id="lab_obdc_CLOVIIRefinancingAdditionalPreferredSharesMember_label_en-US" xlink:label="lab_obdc_CLOVIIRefinancingAdditionalPreferredSharesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO VII Refinancing Additional Preferred Shares [Member]</link:label>
    <link:label id="lab_obdc_CLOVIIRefinancingAdditionalPreferredSharesMember_documentation_en-US" xlink:label="lab_obdc_CLOVIIRefinancingAdditionalPreferredSharesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO VII Refinancing Additional Preferred Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVIIRefinancingAdditionalPreferredSharesMember" xlink:href="obdc-20260331.xsd#obdc_CLOVIIRefinancingAdditionalPreferredSharesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVIIRefinancingAdditionalPreferredSharesMember" xlink:to="lab_obdc_CLOVIIRefinancingAdditionalPreferredSharesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StatementTable_019cafa6-136c-7a2d-bd6f-caf045a9c4b5_terseLabel_en-US" xlink:label="lab_us-gaap_StatementTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Statement [Table]</link:label>
    <link:label id="lab_us-gaap_StatementTable_label_en-US" xlink:label="lab_us-gaap_StatementTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statement [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementTable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatementTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementTable" xlink:to="lab_us-gaap_StatementTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_019cafa6-12dd-7936-bdb1-cb44446aefd5_terseLabel_en-US" xlink:label="lab_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Adjustments to reconcile net increase (decrease) in net assets resulting from operations to net cash provided by (used in) operating activities:</link:label>
    <link:label id="lab_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_label_en-US" xlink:label="lab_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustment to Reconcile Net Income to Cash Provided by (Used in) Operating Activity [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="lab_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_MeasurementInputMarketAdjustmentFactorMember_019cafa6-13e3-73c7-a9b8-d19baed54a2b_terseLabel_en-US" xlink:label="lab_obdc_MeasurementInputMarketAdjustmentFactorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Market Adjustment Factor</link:label>
    <link:label id="lab_obdc_MeasurementInputMarketAdjustmentFactorMember_label_en-US" xlink:label="lab_obdc_MeasurementInputMarketAdjustmentFactorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, Market Adjustment Factor [Member]</link:label>
    <link:label id="lab_obdc_MeasurementInputMarketAdjustmentFactorMember_documentation_en-US" xlink:label="lab_obdc_MeasurementInputMarketAdjustmentFactorMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement Input, Market Adjustment Factor</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_MeasurementInputMarketAdjustmentFactorMember" xlink:href="obdc-20260331.xsd#obdc_MeasurementInputMarketAdjustmentFactorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_MeasurementInputMarketAdjustmentFactorMember" xlink:to="lab_obdc_MeasurementInputMarketAdjustmentFactorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_019cafa6-136c-758d-b5ba-2d53449ebd13_terseLabel_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash Flows from Financing Activities</link:label>
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_label_en-US" xlink:label="lab_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash Provided by (Used in) Financing Activity, Including Discontinued Operation [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:to="lab_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedPurchasePremiumDiscount_019cafa6-13e2-7dfb-9bac-a18023e1c02a_terseLabel_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedPurchasePremiumDiscount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total Purchase Premium/(Discount)</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedPurchasePremiumDiscount_label_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedPurchasePremiumDiscount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Purchase Premium (Discount)</link:label>
    <link:label id="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedPurchasePremiumDiscount_documentation_en-US" xlink:label="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedPurchasePremiumDiscount" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Purchase Premium (Discount)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedPurchasePremiumDiscount" xlink:href="obdc-20260331.xsd#obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedPurchasePremiumDiscount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedPurchasePremiumDiscount" xlink:to="lab_obdc_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedPurchasePremiumDiscount" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_TwoThousandThirtyNotesMember_019cafa6-136c-79f8-8fae-5b77afd38a10_terseLabel_en-US" xlink:label="lab_obdc_TwoThousandThirtyNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2030 Notes</link:label>
    <link:label id="lab_obdc_TwoThousandThirtyNotesMember_label_en-US" xlink:label="lab_obdc_TwoThousandThirtyNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Two Thousand Thirty Notes [Member]</link:label>
    <link:label id="lab_obdc_TwoThousandThirtyNotesMember_documentation_en-US" xlink:label="lab_obdc_TwoThousandThirtyNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Two Thousand Thirty Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_TwoThousandThirtyNotesMember" xlink:href="obdc-20260331.xsd#obdc_TwoThousandThirtyNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_TwoThousandThirtyNotesMember" xlink:to="lab_obdc_TwoThousandThirtyNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_019cafa6-13e3-77d4-b083-39d7fb67529c_terseLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net assets acquired</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_019cafa6-13e3-74a9-908c-030e90a3a8f0_totalLabel_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net assets acquired</link:label>
    <link:label id="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet_label_en-US" xlink:label="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Recognized Asset Acquired to Liability Assumed, Excess (Less), and Goodwill</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet" xlink:to="lab_us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_VariableRateDomain_019cafa6-12dd-7ff4-be80-9b6aca7bc645_terseLabel_en-US" xlink:label="lab_us-gaap_VariableRateDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Variable Rate [Domain]</link:label>
    <link:label id="lab_us-gaap_VariableRateDomain_label_en-US" xlink:label="lab_us-gaap_VariableRateDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Variable Rate [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_VariableRateDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_VariableRateDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_VariableRateDomain" xlink:to="lab_us-gaap_VariableRateDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtSecuritiesNettingMember_019cafa6-13e3-768c-ae85-cc149ed1dd94_terseLabel_en-US" xlink:label="lab_obdc_DebtSecuritiesNettingMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Securities Netting</link:label>
    <link:label id="lab_obdc_DebtSecuritiesNettingMember_label_en-US" xlink:label="lab_obdc_DebtSecuritiesNettingMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Securities Netting [Member]</link:label>
    <link:label id="lab_obdc_DebtSecuritiesNettingMember_documentation_en-US" xlink:label="lab_obdc_DebtSecuritiesNettingMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Securities Netting</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtSecuritiesNettingMember" xlink:href="obdc-20260331.xsd#obdc_DebtSecuritiesNettingMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtSecuritiesNettingMember" xlink:to="lab_obdc_DebtSecuritiesNettingMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_GainsLossesOnSalesOfAssets_019daf65-a9cc-789d-b57c-e4fa5862e5fc_terseLabel_en-US" xlink:label="lab_us-gaap_GainsLossesOnSalesOfAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Gain on sale of assets</link:label>
    <link:label id="lab_us-gaap_GainsLossesOnSalesOfAssets_label_en-US" xlink:label="lab_us-gaap_GainsLossesOnSalesOfAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gain (Loss) on Disposition of Assets for Financial Service Operations</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainsLossesOnSalesOfAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GainsLossesOnSalesOfAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_GainsLossesOnSalesOfAssets" xlink:to="lab_us-gaap_GainsLossesOnSalesOfAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RepaymentsOfUnsecuredDebt_019cafa6-136c-737a-bf48-1018186a1e87_terseLabel_en-US" xlink:label="lab_us-gaap_RepaymentsOfUnsecuredDebt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt periodic payment</link:label>
    <link:label id="lab_us-gaap_RepaymentsOfUnsecuredDebt_label_en-US" xlink:label="lab_us-gaap_RepaymentsOfUnsecuredDebt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Repayments of Unsecured Debt</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RepaymentsOfUnsecuredDebt" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RepaymentsOfUnsecuredDebt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RepaymentsOfUnsecuredDebt" xlink:to="lab_us-gaap_RepaymentsOfUnsecuredDebt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock_019cafa6-13e2-77a9-8001-3d8a527a9eb5_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Changes in the Fair Value of Investments</link:label>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock_label_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock" xlink:to="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInManagementFeePayable_019cafa6-12dd-7eaa-8796-bc6db63198db_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInManagementFeePayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Increase (decrease) in management fee payable</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInManagementFeePayable_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInManagementFeePayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Management Fee Payable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInManagementFeePayable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInManagementFeePayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInManagementFeePayable" xlink:to="lab_us-gaap_IncreaseDecreaseInManagementFeePayable" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_AllAdjToCompMember_terseLabel_en-US" xlink:label="lab_ecd_AllAdjToCompMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">All Adjustments to Compensation</link:label>
    <link:label id="lab_ecd_AllAdjToCompMember_label_en-US" xlink:label="lab_ecd_AllAdjToCompMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">All Adjustments to Compensation [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_AllAdjToCompMember" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_AllAdjToCompMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AllAdjToCompMember" xlink:to="lab_ecd_AllAdjToCompMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_AmendmentFlag_019cafa6-12dd-7e8a-90dc-cc60dd3eeae2_terseLabel_en-US" xlink:label="lab_dei_AmendmentFlag" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Amendment flag</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_AmendmentFlag"/>
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    <link:label id="lab_us-gaap_SaleOfStockPricePerShare_019cafa6-136c-7ac9-9ba7-8101ca6c0c82_terseLabel_en-US" xlink:label="lab_us-gaap_SaleOfStockPricePerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Public offering price (in usd per share)</link:label>
    <link:label id="lab_us-gaap_SaleOfStockPricePerShare_019cafa6-136c-7f7f-82c7-a3690a5f3020_verboseLabel_en-US" xlink:label="lab_us-gaap_SaleOfStockPricePerShare" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Average Offering Price Per Share (in usd per share)</link:label>
    <link:label id="lab_us-gaap_SaleOfStockPricePerShare_label_en-US" xlink:label="lab_us-gaap_SaleOfStockPricePerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Sale of Stock, Price Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SaleOfStockPricePerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SaleOfStockPricePerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SaleOfStockPricePerShare" xlink:to="lab_us-gaap_SaleOfStockPricePerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_TrdArrTerminationDate_terseLabel_en-US" xlink:label="lab_ecd_TrdArrTerminationDate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Termination Date</link:label>
    <link:label id="lab_ecd_TrdArrTerminationDate_label_en-US" xlink:label="lab_ecd_TrdArrTerminationDate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trading Arrangement Termination Date</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TrdArrTerminationDate" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_TrdArrTerminationDate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_TrdArrTerminationDate" xlink:to="lab_ecd_TrdArrTerminationDate" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_InsiderTrdPoliciesProcAdoptedFlag_terseLabel_en-US" xlink:label="lab_ecd_InsiderTrdPoliciesProcAdoptedFlag" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Insider Trading Policies and Procedures Adopted</link:label>
    <link:label id="lab_ecd_InsiderTrdPoliciesProcAdoptedFlag_label_en-US" xlink:label="lab_ecd_InsiderTrdPoliciesProcAdoptedFlag" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Insider Trading Policies and Procedures Adopted [Flag]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_InsiderTrdPoliciesProcAdoptedFlag" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_InsiderTrdPoliciesProcAdoptedFlag"/>
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    <link:label id="lab_us-gaap_ForeignCurrencyTransactionGainLossRealized_019cafa6-136c-7d7c-9448-b5107c4668f2_terseLabel_en-US" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossRealized" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign currency transactions</link:label>
    <link:label id="lab_us-gaap_ForeignCurrencyTransactionGainLossRealized_label_en-US" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossRealized" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Realized Gain (Loss), Foreign Currency Transaction, before Tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ForeignCurrencyTransactionGainLossRealized" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ForeignCurrencyTransactionGainLossRealized"/>
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    <link:label id="lab_obdc_ValuationTechniqueCollateralAnalysisMember_019cafa6-12dd-79c0-b3a2-4ebb11b8a60e_terseLabel_en-US" xlink:label="lab_obdc_ValuationTechniqueCollateralAnalysisMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Collateral Analysis</link:label>
    <link:label id="lab_obdc_ValuationTechniqueCollateralAnalysisMember_label_en-US" xlink:label="lab_obdc_ValuationTechniqueCollateralAnalysisMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation Technique, Collateral Analysis [Member]</link:label>
    <link:label id="lab_obdc_ValuationTechniqueCollateralAnalysisMember_documentation_en-US" xlink:label="lab_obdc_ValuationTechniqueCollateralAnalysisMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Valuation Technique, Collateral Analysis</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ValuationTechniqueCollateralAnalysisMember" xlink:href="obdc-20260331.xsd#obdc_ValuationTechniqueCollateralAnalysisMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ValuationTechniqueCollateralAnalysisMember" xlink:to="lab_obdc_ValuationTechniqueCollateralAnalysisMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SaleOfStockGrossProceedsReceived_019cafa6-13e2-7a26-ae37-49c0be46ca5e_terseLabel_en-US" xlink:label="lab_obdc_SaleOfStockGrossProceedsReceived" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Gross Proceeds</link:label>
    <link:label id="lab_obdc_SaleOfStockGrossProceedsReceived_label_en-US" xlink:label="lab_obdc_SaleOfStockGrossProceedsReceived" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Sale of Stock, Gross Proceeds Received</link:label>
    <link:label id="lab_obdc_SaleOfStockGrossProceedsReceived_documentation_en-US" xlink:label="lab_obdc_SaleOfStockGrossProceedsReceived" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Sale of Stock, Gross Proceeds Received</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SaleOfStockGrossProceedsReceived" xlink:href="obdc-20260331.xsd#obdc_SaleOfStockGrossProceedsReceived"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SaleOfStockGrossProceedsReceived" xlink:to="lab_obdc_SaleOfStockGrossProceedsReceived" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DividendsPayableTable_019cafa6-12dd-72b8-8a98-121b8491cc66_terseLabel_en-US" xlink:label="lab_us-gaap_DividendsPayableTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dividends Payable [Table]</link:label>
    <link:label id="lab_us-gaap_DividendsPayableTable_label_en-US" xlink:label="lab_us-gaap_DividendsPayableTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividends Payable [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendsPayableTable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DividendsPayableTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendsPayableTable" xlink:to="lab_us-gaap_DividendsPayableTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock_019cafa6-13e3-785d-b1e6-0d57634ceaa1_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Fair Value Hierarchy of Investments</link:label>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock_label_en-US" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Assets Measured on Recurring Basis [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock" xlink:to="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_019cafa6-136c-7596-a1bd-d273d4074b88_verboseLabel_en-US" xlink:label="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Weighted Average Shares Outstanding - Basic (in shares)</link:label>
    <link:label id="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_019cafa6-136c-7929-abde-84c3855d06d8_terseLabel_en-US" xlink:label="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Weighted average shares of common stock outstanding&#8212;basic (in shares)</link:label>
    <link:label id="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_019cafa6-136c-7aea-bae7-606a8ddcd33b_netLabel_en-US" xlink:label="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:type="resource" xml:lang="en-US">Weighted-average shares outstanding (in shares)</link:label>
    <link:label id="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_label_en-US" xlink:label="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Weighted Average Number of Shares Outstanding, Basic</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_WeightedAverageNumberOfSharesOutstandingBasic"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:to="lab_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentIncomeNetAbstract_019cafa6-12dd-7b11-9774-6bb13ae1ec11_verboseLabel_en-US" xlink:label="lab_us-gaap_InvestmentIncomeNetAbstract" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Investment Income</link:label>
    <link:label id="lab_us-gaap_InvestmentIncomeNetAbstract_label_en-US" xlink:label="lab_us-gaap_InvestmentIncomeNetAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Income, Net [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIncomeNetAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIncomeNetAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIncomeNetAbstract" xlink:to="lab_us-gaap_InvestmentIncomeNetAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAssetCoverageRatioThresholdMember_019cafa6-12dd-718b-9e9f-43d680dadfa6_terseLabel_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAssetCoverageRatioThresholdMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Management Fee - Asset Coverage Ratio Threshold</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAssetCoverageRatioThresholdMember_label_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAssetCoverageRatioThresholdMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Management Fee - Asset Coverage Ratio Threshold [Member]</link:label>
    <link:label id="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAssetCoverageRatioThresholdMember_documentation_en-US" xlink:label="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAssetCoverageRatioThresholdMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Advisory Agreement, Management Fee - Asset Coverage Ratio Threshold</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InvestmentAdvisoryAgreementManagementFeeAssetCoverageRatioThresholdMember" xlink:href="obdc-20260331.xsd#obdc_InvestmentAdvisoryAgreementManagementFeeAssetCoverageRatioThresholdMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InvestmentAdvisoryAgreementManagementFeeAssetCoverageRatioThresholdMember" xlink:to="lab_obdc_InvestmentAdvisoryAgreementManagementFeeAssetCoverageRatioThresholdMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_019cafa6-136c-7f59-82be-f64335eb4bf8_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Computation for Basic and Diluted Earnings Per Common Share</link:label>
    <link:label id="lab_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Earnings Per Share, Basic and Diluted [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" xlink:to="lab_us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyTransactionDomain_019cafa6-12dd-79c8-aacd-2f1292a47dfd_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Domain]</link:label>
    <link:label id="lab_us-gaap_RelatedPartyTransactionDomain_label_en-US" xlink:label="lab_us-gaap_RelatedPartyTransactionDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyTransactionDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyTransactionDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionDomain" xlink:to="lab_us-gaap_RelatedPartyTransactionDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsequentEventsAbstract_label_en-US" xlink:label="lab_us-gaap_SubsequentEventsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsequent Events [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsequentEventsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventsAbstract" xlink:to="lab_us-gaap_SubsequentEventsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtDisclosureAbstract_label_en-US" xlink:label="lab_us-gaap_DebtDisclosureAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Disclosure [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtDisclosureAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtDisclosureAbstract" xlink:to="lab_us-gaap_DebtDisclosureAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOVClassB1NotesMember_019cafa6-136c-7d6b-8192-a1090d659ae0_terseLabel_en-US" xlink:label="lab_obdc_CLOVClassB1NotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO V, Class B-1 Notes</link:label>
    <link:label id="lab_obdc_CLOVClassB1NotesMember_label_en-US" xlink:label="lab_obdc_CLOVClassB1NotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO V, Class B-1 Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOVClassB1NotesMember_documentation_en-US" xlink:label="lab_obdc_CLOVClassB1NotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO V, Class B-1 Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOVClassB1NotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOVClassB1NotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOVClassB1NotesMember" xlink:to="lab_obdc_CLOVClassB1NotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_SONIAMember_019cafa6-136c-79fd-a215-68e2ea29d2f8_terseLabel_en-US" xlink:label="lab_obdc_SONIAMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subject to SONIA</link:label>
    <link:label id="lab_obdc_SONIAMember_label_en-US" xlink:label="lab_obdc_SONIAMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">SONIA [Member]</link:label>
    <link:label id="lab_obdc_SONIAMember_documentation_en-US" xlink:label="lab_obdc_SONIAMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">SONIA</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_SONIAMember" xlink:href="obdc-20260331.xsd#obdc_SONIAMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_SONIAMember" xlink:to="lab_obdc_SONIAMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_ORCCFinancingIVLLCMember_019cafa6-13e3-7e9f-82ed-4e80daadd081_terseLabel_en-US" xlink:label="lab_obdc_ORCCFinancingIVLLCMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">ORCC Financing IV, LLC</link:label>
    <link:label id="lab_obdc_ORCCFinancingIVLLCMember_label_en-US" xlink:label="lab_obdc_ORCCFinancingIVLLCMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">ORCC Financing IV, LLC [Member]</link:label>
    <link:label id="lab_obdc_ORCCFinancingIVLLCMember_documentation_en-US" xlink:label="lab_obdc_ORCCFinancingIVLLCMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">ORCC Financing IV, LLC</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_ORCCFinancingIVLLCMember" xlink:href="obdc-20260331.xsd#obdc_ORCCFinancingIVLLCMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_ORCCFinancingIVLLCMember" xlink:to="lab_obdc_ORCCFinancingIVLLCMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_TransportationMember_019cafa6-12dd-7fde-ae26-4020af24feb1_terseLabel_en-US" xlink:label="lab_obdc_TransportationMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transportation</link:label>
    <link:label id="lab_obdc_TransportationMember_label_en-US" xlink:label="lab_obdc_TransportationMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Transportation [Member]</link:label>
    <link:label id="lab_obdc_TransportationMember_documentation_en-US" xlink:label="lab_obdc_TransportationMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Transportation</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_TransportationMember" xlink:href="obdc-20260331.xsd#obdc_TransportationMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_TransportationMember" xlink:to="lab_obdc_TransportationMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_ForgoneRecoveryDueToExpenseOfEnforcementAmt_terseLabel_en-US" xlink:label="lab_ecd_ForgoneRecoveryDueToExpenseOfEnforcementAmt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Forgone Recovery due to Expense of Enforcement, Amount</link:label>
    <link:label id="lab_ecd_ForgoneRecoveryDueToExpenseOfEnforcementAmt_label_en-US" xlink:label="lab_ecd_ForgoneRecoveryDueToExpenseOfEnforcementAmt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Forgone Recovery due to Expense of Enforcement, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_ForgoneRecoveryDueToExpenseOfEnforcementAmt" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_ForgoneRecoveryDueToExpenseOfEnforcementAmt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_ForgoneRecoveryDueToExpenseOfEnforcementAmt" xlink:to="lab_ecd_ForgoneRecoveryDueToExpenseOfEnforcementAmt" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommonStockParOrStatedValuePerShare_019cafa6-136c-7363-be0d-b74c7d9592cc_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockParOrStatedValuePerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Common stock, par value (in usd per share)</link:label>
    <link:label id="lab_us-gaap_CommonStockParOrStatedValuePerShare_label_en-US" xlink:label="lab_us-gaap_CommonStockParOrStatedValuePerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Common Stock, Par or Stated Value Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockParOrStatedValuePerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonStockParOrStatedValuePerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockParOrStatedValuePerShare" xlink:to="lab_us-gaap_CommonStockParOrStatedValuePerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresLineItems_019cafa6-12dd-7b4f-b0fb-308458be37dd_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Instruments and Hedging Activities Disclosures [Line Items]</link:label>
    <link:label id="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresLineItems_label_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Instruments and Hedging Activities Disclosures [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresLineItems" xlink:to="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosuresLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_InitialSecondThresholdPercentageMember_019cafa6-12dd-77ac-ac3c-28d2fe7c24ed_terseLabel_en-US" xlink:label="lab_obdc_InitialSecondThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Initial Second Threshold Percentage</link:label>
    <link:label id="lab_obdc_InitialSecondThresholdPercentageMember_label_en-US" xlink:label="lab_obdc_InitialSecondThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Initial Second Threshold Percentage [Member]</link:label>
    <link:label id="lab_obdc_InitialSecondThresholdPercentageMember_documentation_en-US" xlink:label="lab_obdc_InitialSecondThresholdPercentageMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Initial Second Threshold Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InitialSecondThresholdPercentageMember" xlink:href="obdc-20260331.xsd#obdc_InitialSecondThresholdPercentageMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InitialSecondThresholdPercentageMember" xlink:to="lab_obdc_InitialSecondThresholdPercentageMember" xlink:type="arc" order="1"/>
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    <link:label id="lab_obdc_InterestRateSwaps2029Notes1Member_label_en-US" xlink:label="lab_obdc_InterestRateSwaps2029Notes1Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Rate Swaps, 2029 Notes 1 [Member]</link:label>
    <link:label id="lab_obdc_InterestRateSwaps2029Notes1Member_documentation_en-US" xlink:label="lab_obdc_InterestRateSwaps2029Notes1Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest Rate Swaps, 2029 Notes 1</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_InterestRateSwaps2029Notes1Member" xlink:href="obdc-20260331.xsd#obdc_InterestRateSwaps2029Notes1Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_InterestRateSwaps2029Notes1Member" xlink:to="lab_obdc_InterestRateSwaps2029Notes1Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_UseOfEstimates_019cafa6-136c-79c9-8148-f1c5d89e5f65_terseLabel_en-US" xlink:label="lab_us-gaap_UseOfEstimates" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Use of Estimates</link:label>
    <link:label id="lab_us-gaap_UseOfEstimates_label_en-US" xlink:label="lab_us-gaap_UseOfEstimates" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Use of Estimates, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UseOfEstimates" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_UseOfEstimates"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UseOfEstimates" xlink:to="lab_us-gaap_UseOfEstimates" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareTable_019cafa6-136c-7631-b041-cdd82e2e90ee_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value, Investments, Entities that Calculate Net Asset Value Per Share [Table]</link:label>
    <link:label id="lab_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareTable_label_en-US" xlink:label="lab_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Investments, Entities that Calculate Net Asset Value Per Share [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareTable" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareTable"/>
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    <link:label id="lab_us-gaap_PaymentsForProceedsFromDerivativeInstrumentFinancingActivities_019cafa6-136c-7cfa-a9f3-de47fbe553bc_terseLabel_en-US" xlink:label="lab_us-gaap_PaymentsForProceedsFromDerivativeInstrumentFinancingActivities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Upfront Payments/Receipts</link:label>
    <link:label id="lab_us-gaap_PaymentsForProceedsFromDerivativeInstrumentFinancingActivities_label_en-US" xlink:label="lab_us-gaap_PaymentsForProceedsFromDerivativeInstrumentFinancingActivities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payments for (Proceeds from) Derivative Instrument, Financing Activities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForProceedsFromDerivativeInstrumentFinancingActivities" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsForProceedsFromDerivativeInstrumentFinancingActivities"/>
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    <link:label id="lab_us-gaap_NortheastRegionMember_019cafa6-136c-77dd-8869-b683a8e56ccb_terseLabel_en-US" xlink:label="lab_us-gaap_NortheastRegionMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Northeast</link:label>
    <link:label id="lab_us-gaap_NortheastRegionMember_label_en-US" xlink:label="lab_us-gaap_NortheastRegionMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">US Northeast Region [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NortheastRegionMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NortheastRegionMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NortheastRegionMember" xlink:to="lab_us-gaap_NortheastRegionMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsequentEventsTextBlock_019cafa6-136c-706e-af32-2d4f5326128d_terseLabel_en-US" xlink:label="lab_us-gaap_SubsequentEventsTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subsequent Events</link:label>
    <link:label id="lab_us-gaap_SubsequentEventsTextBlock_label_en-US" xlink:label="lab_us-gaap_SubsequentEventsTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsequent Events [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SubsequentEventsTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsequentEventsTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventsTextBlock" xlink:to="lab_us-gaap_SubsequentEventsTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_InsiderTradingArrLineItems_label_en-US" xlink:label="lab_ecd_InsiderTradingArrLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Insider Trading Arrangements [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_InsiderTradingArrLineItems" xlink:href="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd#ecd_InsiderTradingArrLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_InsiderTradingArrLineItems" xlink:to="lab_ecd_InsiderTradingArrLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_CLOIIIClassARNotesMember_019cafa6-136c-7654-957f-307eb4a5d468_terseLabel_en-US" xlink:label="lab_obdc_CLOIIIClassARNotesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">CLO III Class A-R Notes</link:label>
    <link:label id="lab_obdc_CLOIIIClassARNotesMember_label_en-US" xlink:label="lab_obdc_CLOIIIClassARNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">CLO III, Class A-R Notes [Member]</link:label>
    <link:label id="lab_obdc_CLOIIIClassARNotesMember_documentation_en-US" xlink:label="lab_obdc_CLOIIIClassARNotesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO III, Class A-R Notes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_CLOIIIClassARNotesMember" xlink:href="obdc-20260331.xsd#obdc_CLOIIIClassARNotesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_CLOIIIClassARNotesMember" xlink:to="lab_obdc_CLOIIIClassARNotesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_DebtVariableRateComponentDomain_019cafa6-136c-7a3a-956f-c9a899611579_terseLabel_en-US" xlink:label="lab_obdc_DebtVariableRateComponentDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Covenant Period [Domain]</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentDomain_label_en-US" xlink:label="lab_obdc_DebtVariableRateComponentDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component [Domain]</link:label>
    <link:label id="lab_obdc_DebtVariableRateComponentDomain_documentation_en-US" xlink:label="lab_obdc_DebtVariableRateComponentDomain" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Variable Rate Component</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_DebtVariableRateComponentDomain" xlink:href="obdc-20260331.xsd#obdc_DebtVariableRateComponentDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_DebtVariableRateComponentDomain" xlink:to="lab_obdc_DebtVariableRateComponentDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_obdc_BenchmarkRateMember_019cafa6-12dd-71a8-bf23-1a7d316395d2_terseLabel_en-US" xlink:label="lab_obdc_BenchmarkRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Benchmark Rate</link:label>
    <link:label id="lab_obdc_BenchmarkRateMember_label_en-US" xlink:label="lab_obdc_BenchmarkRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Benchmark Rate [Member]</link:label>
    <link:label id="lab_obdc_BenchmarkRateMember_documentation_en-US" xlink:label="lab_obdc_BenchmarkRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Benchmark Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_obdc_BenchmarkRateMember" xlink:href="obdc-20260331.xsd#obdc_BenchmarkRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_obdc_BenchmarkRateMember" xlink:to="lab_obdc_BenchmarkRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EquitySecuritiesMember_019cafa6-136c-7dbf-bb64-3a469157a363_terseLabel_en-US" xlink:label="lab_us-gaap_EquitySecuritiesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Securities</link:label>
    <link:label id="lab_us-gaap_EquitySecuritiesMember_label_en-US" xlink:label="lab_us-gaap_EquitySecuritiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Securities [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquitySecuritiesMember" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquitySecuritiesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquitySecuritiesMember" xlink:to="lab_us-gaap_EquitySecuritiesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_Liabilities_019cafa6-136c-7a12-b6e5-c31f407cea4c_totalLabel_en-US" xlink:label="lab_us-gaap_Liabilities" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Liabilities</link:label>
    <link:label id="lab_us-gaap_Liabilities_019cafa6-136c-7933-9dad-a4bfb723d5fa_terseLabel_en-US" xlink:label="lab_us-gaap_Liabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total Liabilities</link:label>
    <link:label id="lab_us-gaap_Liabilities_label_en-US" xlink:label="lab_us-gaap_Liabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Liabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_Liabilities" xlink:to="lab_us-gaap_Liabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LineOfCreditFacilityCommitmentFeePercentage_019cafa6-136c-74fa-bf78-98040903169e_terseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityCommitmentFeePercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Commitment fee percentage</link:label>
    <link:label id="lab_us-gaap_LineOfCreditFacilityCommitmentFeePercentage_label_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityCommitmentFeePercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Commitment Fee Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityCommitmentFeePercentage" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityCommitmentFeePercentage"/>
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    <link:label id="lab_obdc_CLOXIVIssuerMember_documentation_en-US" xlink:label="lab_obdc_CLOXIVIssuerMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">CLO XIV Issuer</link:label>
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