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    <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>
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    <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>
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    <link:label id="lab_bxinfra_DigitalMember_019f1937-220f-7df2-bb81-fcf4cf17be2f_terseLabel_en-US" xlink:label="lab_bxinfra_DigitalMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Digital</link:label>
    <link:label id="lab_bxinfra_DigitalMember_label_en-US" xlink:label="lab_bxinfra_DigitalMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Digital [Member]</link:label>
    <link:label id="lab_bxinfra_DigitalMember_documentation_en-US" xlink:label="lab_bxinfra_DigitalMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Digital [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DigitalMember" xlink:href="bxinfra-20260930.xsd#bxinfra_DigitalMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DigitalMember" xlink:to="lab_bxinfra_DigitalMember" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_MaximumMember_019f1937-220f-753b-9cb7-888fec313c3a_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/2026/elts/srt-2026.xsd#srt_MaximumMember"/>
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    <link:label id="lab_srt_RangeMember_019f1937-2165-7c01-a66d-b686aae3cb49_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/2026/elts/srt-2026.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_dei_Security12bTitle_019f1937-2165-736d-b6ff-41b00c8cf227_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:label id="lab_dei_Security12bTitle_label_en-US" xlink:label="lab_dei_Security12bTitle" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_SubsequentEventMember_01a1a3e5-481d-78de-a222-2da404760279_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/2026/elts/us-gaap-2026.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_dei_DocumentFiscalYearFocus_019f1937-2165-7939-a6f1-b52cf95276af_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:label id="lab_dei_DocumentFiscalYearFocus_label_en-US" xlink:label="lab_dei_DocumentFiscalYearFocus" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_bxinfra_ClassDUnitsMember_019f1937-2166-7981-bf55-a488769d3325_terseLabel_en-US" xlink:label="lab_bxinfra_ClassDUnitsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Class D Units</link:label>
    <link:label id="lab_bxinfra_ClassDUnitsMember_019f1937-2166-764d-93a4-f862b643af3c_verboseLabel_en-US" xlink:label="lab_bxinfra_ClassDUnitsMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Class D Units</link:label>
    <link:label id="lab_bxinfra_ClassDUnitsMember_label_en-US" xlink:label="lab_bxinfra_ClassDUnitsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class D Units [Member]</link:label>
    <link:label id="lab_bxinfra_ClassDUnitsMember_documentation_en-US" xlink:label="lab_bxinfra_ClassDUnitsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Class S units.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ClassDUnitsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ClassDUnitsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ClassDUnitsMember" xlink:to="lab_bxinfra_ClassDUnitsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_MeasurementInputExitCapitalizationMember_019f1937-2165-7629-b48d-17c48147ff40_terseLabel_en-US" xlink:label="lab_bxinfra_MeasurementInputExitCapitalizationMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Exit Capitalization</link:label>
    <link:label id="lab_bxinfra_MeasurementInputExitCapitalizationMember_label_en-US" xlink:label="lab_bxinfra_MeasurementInputExitCapitalizationMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input Exit Capitalization [Member]</link:label>
    <link:label id="lab_bxinfra_MeasurementInputExitCapitalizationMember_documentation_en-US" xlink:label="lab_bxinfra_MeasurementInputExitCapitalizationMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement Input Exit Capitalization [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_MeasurementInputExitCapitalizationMember" xlink:href="bxinfra-20260930.xsd#bxinfra_MeasurementInputExitCapitalizationMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_MeasurementInputExitCapitalizationMember" xlink:to="lab_bxinfra_MeasurementInputExitCapitalizationMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable_019f1937-2165-7606-bc98-1297a5dac627_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Instruments, Gain (Loss) [Table]</link:label>
    <link:label id="lab_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable_label_en-US" xlink:label="lab_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Instruments, Gain (Loss) [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" xlink:to="lab_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" 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/2026/ecd-2026.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_PledgedStatusAxis_019f1937-220f-7431-8336-fe2555d90ada_terseLabel_en-US" xlink:label="lab_us-gaap_PledgedStatusAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Pledged Status [Axis]</link:label>
    <link:label id="lab_us-gaap_PledgedStatusAxis_label_en-US" xlink:label="lab_us-gaap_PledgedStatusAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Pledged Status [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PledgedStatusAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PledgedStatusAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PledgedStatusAxis" xlink:to="lab_us-gaap_PledgedStatusAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ClasssLimitedPartnershipUnitsMember_019f1937-2165-7c36-90ba-11c328b12a81_terseLabel_en-US" xlink:label="lab_bxinfra_ClasssLimitedPartnershipUnitsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Class S Limited Partnership Units</link:label>
    <link:label id="lab_bxinfra_ClasssLimitedPartnershipUnitsMember_label_en-US" xlink:label="lab_bxinfra_ClasssLimitedPartnershipUnitsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class S Limited Partnership Units [Member]</link:label>
    <link:label id="lab_bxinfra_ClasssLimitedPartnershipUnitsMember_documentation_en-US" xlink:label="lab_bxinfra_ClasssLimitedPartnershipUnitsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Class S limited partnership units.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ClasssLimitedPartnershipUnitsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ClasssLimitedPartnershipUnitsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ClasssLimitedPartnershipUnitsMember" xlink:to="lab_bxinfra_ClasssLimitedPartnershipUnitsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FinancialInstrumentAxis_019f1937-220f-7c50-a108-a96050883f1e_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/2026/elts/us-gaap-2026.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_ForeignCurrencyTransactionGainLossRealizedExcludingInvestmentPriceChangeBeforeTax_019f1937-2165-715d-804b-52b8972454eb_terseLabel_en-US" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossRealizedExcludingInvestmentPriceChangeBeforeTax" xlink:role="http://www.xbrl.org/2003/role/terseLabel" 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_us-gaap_ForeignCurrencyTransactionGainLossRealizedExcludingInvestmentPriceChangeBeforeTax_label_en-US" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossRealizedExcludingInvestmentPriceChangeBeforeTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Realized Gain (Loss), Foreign Currency Transaction, Excluding Investment Price Change, before Tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ForeignCurrencyTransactionGainLossRealizedExcludingInvestmentPriceChangeBeforeTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ForeignCurrencyTransactionGainLossRealizedExcludingInvestmentPriceChangeBeforeTax"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ForeignCurrencyTransactionGainLossRealizedExcludingInvestmentPriceChangeBeforeTax" xlink:to="lab_us-gaap_ForeignCurrencyTransactionGainLossRealizedExcludingInvestmentPriceChangeBeforeTax" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DistributionsOnMandatorilyRedeemableSecurities_019f1937-2165-7994-9ad6-d37e7e18fbff_negatedLabel_en-US" xlink:label="lab_us-gaap_DistributionsOnMandatorilyRedeemableSecurities" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Distributions</link:label>
    <link:label id="lab_us-gaap_DistributionsOnMandatorilyRedeemableSecurities_label_en-US" xlink:label="lab_us-gaap_DistributionsOnMandatorilyRedeemableSecurities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payment for Distribution on Mandatorily Redeemable Financial Instrument, Liability Classified</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DistributionsOnMandatorilyRedeemableSecurities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DistributionsOnMandatorilyRedeemableSecurities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DistributionsOnMandatorilyRedeemableSecurities" xlink:to="lab_us-gaap_DistributionsOnMandatorilyRedeemableSecurities" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PayableInvestmentPurchase_019f1937-220f-7643-b277-8791464d7af4_terseLabel_en-US" xlink:label="lab_us-gaap_PayableInvestmentPurchase" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Payable for Investments Purchased</link:label>
    <link:label id="lab_us-gaap_PayableInvestmentPurchase_label_en-US" xlink:label="lab_us-gaap_PayableInvestmentPurchase" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payable, Investment, Purchase</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PayableInvestmentPurchase" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PayableInvestmentPurchase"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PayableInvestmentPurchase" xlink:to="lab_us-gaap_PayableInvestmentPurchase" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_PercentageOfHighWaterMarkCatchUp_019f1937-2165-7cee-942a-aa30ccfce3e6_terseLabel_en-US" xlink:label="lab_bxinfra_PercentageOfHighWaterMarkCatchUp" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage of high water mark catch up</link:label>
    <link:label id="lab_bxinfra_PercentageOfHighWaterMarkCatchUp_label_en-US" xlink:label="lab_bxinfra_PercentageOfHighWaterMarkCatchUp" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Percentage Of High water mark catch Up</link:label>
    <link:label id="lab_bxinfra_PercentageOfHighWaterMarkCatchUp_documentation_en-US" xlink:label="lab_bxinfra_PercentageOfHighWaterMarkCatchUp" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Percentage of high water mark catch up.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_PercentageOfHighWaterMarkCatchUp" xlink:href="bxinfra-20260930.xsd#bxinfra_PercentageOfHighWaterMarkCatchUp"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PercentageOfHighWaterMarkCatchUp" xlink:to="lab_bxinfra_PercentageOfHighWaterMarkCatchUp" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_OrganizationalAndOfferingExpensesPoliciesPolicyTextBlock_019f1937-220f-7ecb-84b5-036a15c2d535_terseLabel_en-US" xlink:label="lab_bxinfra_OrganizationalAndOfferingExpensesPoliciesPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Organizational and Offering Expenses</link:label>
    <link:label id="lab_bxinfra_OrganizationalAndOfferingExpensesPoliciesPolicyTextBlock_label_en-US" xlink:label="lab_bxinfra_OrganizationalAndOfferingExpensesPoliciesPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Organizational and Offering Expenses Policies [Policy Text Block]</link:label>
    <link:label id="lab_bxinfra_OrganizationalAndOfferingExpensesPoliciesPolicyTextBlock_documentation_en-US" xlink:label="lab_bxinfra_OrganizationalAndOfferingExpensesPoliciesPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Organizational and offering expenses policies.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_OrganizationalAndOfferingExpensesPoliciesPolicyTextBlock" xlink:href="bxinfra-20260930.xsd#bxinfra_OrganizationalAndOfferingExpensesPoliciesPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_OrganizationalAndOfferingExpensesPoliciesPolicyTextBlock" xlink:to="lab_bxinfra_OrganizationalAndOfferingExpensesPoliciesPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_MoneyMarketFundsFairValueDisclosure_01a1b8b1-3623-7204-8209-0d2025c2dac5_terseLabel_en-US" xlink:label="lab_bxinfra_MoneyMarketFundsFairValueDisclosure" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Money Market Fund, Fair Value</link:label>
    <link:label id="lab_bxinfra_MoneyMarketFundsFairValueDisclosure_label_en-US" xlink:label="lab_bxinfra_MoneyMarketFundsFairValueDisclosure" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Money Market Funds, Fair Value Disclosure</link:label>
    <link:label id="lab_bxinfra_MoneyMarketFundsFairValueDisclosure_documentation_en-US" xlink:label="lab_bxinfra_MoneyMarketFundsFairValueDisclosure" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Money Market Funds, Fair Value Disclosure</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_MoneyMarketFundsFairValueDisclosure" xlink:href="bxinfra-20260930.xsd#bxinfra_MoneyMarketFundsFairValueDisclosure"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_MoneyMarketFundsFairValueDisclosure" xlink:to="lab_bxinfra_MoneyMarketFundsFairValueDisclosure" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_InvestmentCompanyExpenseRatio_019f1937-220f-7246-a3c1-b0af10db0193_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentCompanyExpenseRatio" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total Expenses</link:label>
    <link:label id="lab_bxinfra_InvestmentCompanyExpenseRatio_label_en-US" xlink:label="lab_bxinfra_InvestmentCompanyExpenseRatio" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company Expense Ratio</link:label>
    <link:label id="lab_bxinfra_InvestmentCompanyExpenseRatio_documentation_en-US" xlink:label="lab_bxinfra_InvestmentCompanyExpenseRatio" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment company expense ratio.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentCompanyExpenseRatio" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentCompanyExpenseRatio"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentCompanyExpenseRatio" xlink:to="lab_bxinfra_InvestmentCompanyExpenseRatio" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LineOfCreditMember_019f1937-2210-7fc2-adad-007b8a3edbed_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/2026/elts/us-gaap-2026.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_bxinfra_NonCashOrPartNonCashEarlyRedemptionDeductionReceivableFromTheFeeder_019f36dc-80be-7f01-9eac-ff5a08c21069_terseLabel_en-US" xlink:label="lab_bxinfra_NonCashOrPartNonCashEarlyRedemptionDeductionReceivableFromTheFeeder" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Early Redemption Deduction Payable to BXINFRA U.S.</link:label>
    <link:label id="lab_bxinfra_NonCashOrPartNonCashEarlyRedemptionDeductionReceivableFromTheFeeder_019fcb31-b461-75a9-a652-f183858413b8_verboseLabel_en-US" xlink:label="lab_bxinfra_NonCashOrPartNonCashEarlyRedemptionDeductionReceivableFromTheFeeder" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Early Redemption Deduction Receivable from the Feeder</link:label>
    <link:label id="lab_bxinfra_NonCashOrPartNonCashEarlyRedemptionDeductionReceivableFromTheFeeder_label_en-US" xlink:label="lab_bxinfra_NonCashOrPartNonCashEarlyRedemptionDeductionReceivableFromTheFeeder" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non Cash Or Part Non Cash Early Redemption Deduction Receivable From The Feeder</link:label>
    <link:label id="lab_bxinfra_NonCashOrPartNonCashEarlyRedemptionDeductionReceivableFromTheFeeder_documentation_en-US" xlink:label="lab_bxinfra_NonCashOrPartNonCashEarlyRedemptionDeductionReceivableFromTheFeeder" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Non Cash Or Part Non Cash Early Redemption Deduction Receivable From The Feeder</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_NonCashOrPartNonCashEarlyRedemptionDeductionReceivableFromTheFeeder" xlink:href="bxinfra-20260930.xsd#bxinfra_NonCashOrPartNonCashEarlyRedemptionDeductionReceivableFromTheFeeder"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_NonCashOrPartNonCashEarlyRedemptionDeductionReceivableFromTheFeeder" xlink:to="lab_bxinfra_NonCashOrPartNonCashEarlyRedemptionDeductionReceivableFromTheFeeder" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityExTransitionPeriod_019f1937-2210-7b20-a216-160757c29f28_terseLabel_en-US" xlink:label="lab_dei_EntityExTransitionPeriod" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Ex Transition Period</link:label>
    <link:label id="lab_dei_EntityExTransitionPeriod_label_en-US" xlink:label="lab_dei_EntityExTransitionPeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Ex Transition Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityExTransitionPeriod" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityExTransitionPeriod"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityExTransitionPeriod" xlink:to="lab_dei_EntityExTransitionPeriod" 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/2026/ecd-2026.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_InvestmentCompanyManagementFeeWaived_01a1a9fe-1bae-7d7c-87f0-71c4ac8bff32_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyManagementFeeWaived" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Management fee waived</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyManagementFeeWaived_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyManagementFeeWaived" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Management Fee Waived</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyManagementFeeWaived" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyManagementFeeWaived"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyManagementFeeWaived" xlink:to="lab_us-gaap_InvestmentCompanyManagementFeeWaived" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeTwo_019f1937-220f-7928-9c7b-759dcdae0604_terseLabel_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeTwo" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Minimum utilization percentage two</link:label>
    <link:label id="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeTwo_label_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeTwo" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line Of Credit Facility, Minimum Utilization, Percentage, Range Two</link:label>
    <link:label id="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeTwo_documentation_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeTwo" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Line Of Credit Facility, Minimum Utilization, Percentage, Range Two</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeTwo" xlink:href="bxinfra-20260930.xsd#bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeTwo"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeTwo" xlink:to="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeTwo" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVentures_019f1937-220f-7b08-acf6-a4d38a0cd472_verboseLabel_en-US" xlink:label="lab_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVentures" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Investments in Affiliated Investee Funds</link:label>
    <link:label id="lab_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVentures_label_en-US" xlink:label="lab_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVentures" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investments in and Advance to Affiliates, Subsidiaries, Associates, and Joint Ventures</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVentures" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVentures"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVentures" xlink:to="lab_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVentures" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_InvestmentMember_019f1937-2165-79db-ac1d-c7b3bc811142_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment</link:label>
    <link:label id="lab_bxinfra_InvestmentMember_label_en-US" xlink:label="lab_bxinfra_InvestmentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment [Member]</link:label>
    <link:label id="lab_bxinfra_InvestmentMember_documentation_en-US" xlink:label="lab_bxinfra_InvestmentMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentMember" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentMember" xlink:to="lab_bxinfra_InvestmentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_DebtInstrumentDefaultRateIncreasePercentage_019f1937-220f-729f-bd09-ebd9613d61f9_terseLabel_en-US" xlink:label="lab_bxinfra_DebtInstrumentDefaultRateIncreasePercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Default rate increase percentage</link:label>
    <link:label id="lab_bxinfra_DebtInstrumentDefaultRateIncreasePercentage_label_en-US" xlink:label="lab_bxinfra_DebtInstrumentDefaultRateIncreasePercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument Default Rate Increase Percentage</link:label>
    <link:label id="lab_bxinfra_DebtInstrumentDefaultRateIncreasePercentage_documentation_en-US" xlink:label="lab_bxinfra_DebtInstrumentDefaultRateIncreasePercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument Default Rate Increase Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DebtInstrumentDefaultRateIncreasePercentage" xlink:href="bxinfra-20260930.xsd#bxinfra_DebtInstrumentDefaultRateIncreasePercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DebtInstrumentDefaultRateIncreasePercentage" xlink:to="lab_bxinfra_DebtInstrumentDefaultRateIncreasePercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeInstrumentRiskAxis_019f1937-220f-7c4a-843e-99e358da5e47_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/2026/elts/us-gaap-2026.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_bxinfra_AggregateInvestmentCreditAmountExtended_019f1937-220f-710e-822d-03560d5d1c80_terseLabel_en-US" xlink:label="lab_bxinfra_AggregateInvestmentCreditAmountExtended" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregate investment credit amount extended</link:label>
    <link:label id="lab_bxinfra_AggregateInvestmentCreditAmountExtended_label_en-US" xlink:label="lab_bxinfra_AggregateInvestmentCreditAmountExtended" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Aggregate Investment Credit Amount Extended</link:label>
    <link:label id="lab_bxinfra_AggregateInvestmentCreditAmountExtended_documentation_en-US" xlink:label="lab_bxinfra_AggregateInvestmentCreditAmountExtended" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Aggregate Investment Credit Amount Extended</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_AggregateInvestmentCreditAmountExtended" xlink:href="bxinfra-20260930.xsd#bxinfra_AggregateInvestmentCreditAmountExtended"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AggregateInvestmentCreditAmountExtended" xlink:to="lab_bxinfra_AggregateInvestmentCreditAmountExtended" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_InfrastructureDebtInvestmentMember_019f1937-2166-71ae-aadd-b26834495a73_terseLabel_en-US" xlink:label="lab_bxinfra_InfrastructureDebtInvestmentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Investments - Infrastructure</link:label>
    <link:label id="lab_bxinfra_InfrastructureDebtInvestmentMember_label_en-US" xlink:label="lab_bxinfra_InfrastructureDebtInvestmentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Infrastructure Debt Investment [Member]</link:label>
    <link:label id="lab_bxinfra_InfrastructureDebtInvestmentMember_documentation_en-US" xlink:label="lab_bxinfra_InfrastructureDebtInvestmentMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Infrastructure debt investment.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InfrastructureDebtInvestmentMember" xlink:href="bxinfra-20260930.xsd#bxinfra_InfrastructureDebtInvestmentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InfrastructureDebtInvestmentMember" xlink:to="lab_bxinfra_InfrastructureDebtInvestmentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_AmendmentFlag_019f1937-2210-7d35-8ae8-cd78b259eaf4_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:label id="lab_dei_AmendmentFlag_label_en-US" xlink:label="lab_dei_AmendmentFlag" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.xsd#dei_AmendmentFlag"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_AmendmentFlag" xlink:to="lab_dei_AmendmentFlag" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_GrossAndNetAmountOfRecognizedLiabilitiesForRepurchaseAgreements_019f1937-220f-7831-a038-e120a54d3044_terseLabel_en-US" xlink:label="lab_bxinfra_GrossAndNetAmountOfRecognizedLiabilitiesForRepurchaseAgreements" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Gross and Net Amount of Recognized Liabilities for Repurchase Agreements</link:label>
    <link:label id="lab_bxinfra_GrossAndNetAmountOfRecognizedLiabilitiesForRepurchaseAgreements_label_en-US" xlink:label="lab_bxinfra_GrossAndNetAmountOfRecognizedLiabilitiesForRepurchaseAgreements" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gross And Net Amount Of Recognized Liabilities For Repurchase Agreements</link:label>
    <link:label id="lab_bxinfra_GrossAndNetAmountOfRecognizedLiabilitiesForRepurchaseAgreements_documentation_en-US" xlink:label="lab_bxinfra_GrossAndNetAmountOfRecognizedLiabilitiesForRepurchaseAgreements" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Gross and net amount of recognized liabilities for repurchase agreements.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_GrossAndNetAmountOfRecognizedLiabilitiesForRepurchaseAgreements" xlink:href="bxinfra-20260930.xsd#bxinfra_GrossAndNetAmountOfRecognizedLiabilitiesForRepurchaseAgreements"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_GrossAndNetAmountOfRecognizedLiabilitiesForRepurchaseAgreements" xlink:to="lab_bxinfra_GrossAndNetAmountOfRecognizedLiabilitiesForRepurchaseAgreements" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityCommonStockSharesOutstanding_019f1937-2210-733d-a641-9d48f540dedb_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:label id="lab_dei_EntityCommonStockSharesOutstanding_label_en-US" xlink:label="lab_dei_EntityCommonStockSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_bxinfra_RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction_019f1937-2165-7be2-ac6d-f7ea23fe3446_negatedTerseLabel_en-US" xlink:label="lab_bxinfra_RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Redemption of Units</link:label>
    <link:label id="lab_bxinfra_RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction_019f1937-2165-7143-92b9-0da69f0b4056_negatedLabel_en-US" xlink:label="lab_bxinfra_RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Redemption of Units, Net of Early Redemption Deduction</link:label>
    <link:label id="lab_bxinfra_RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction_019f1937-2165-72e7-8215-5b0b35048dae_terseLabel_en-US" xlink:label="lab_bxinfra_RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Value of units redeemed</link:label>
    <link:label id="lab_bxinfra_RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction_label_en-US" xlink:label="lab_bxinfra_RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Repurchase Of Units Net Of Early Repurchase Deduction</link:label>
    <link:label id="lab_bxinfra_RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction_documentation_en-US" xlink:label="lab_bxinfra_RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Repurchase of units net of early repurchase deduction.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:href="bxinfra-20260930.xsd#bxinfra_RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:to="lab_bxinfra_RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_IncreaseDecreaseInAccruedPerformanceParticipationAllocation_019f1937-2165-7401-8ea0-d55513037324_terseLabel_en-US" xlink:label="lab_bxinfra_IncreaseDecreaseInAccruedPerformanceParticipationAllocation" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accrued Performance Participation Allocation</link:label>
    <link:label id="lab_bxinfra_IncreaseDecreaseInAccruedPerformanceParticipationAllocation_label_en-US" xlink:label="lab_bxinfra_IncreaseDecreaseInAccruedPerformanceParticipationAllocation" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">IncreaseDecreaseInAccruedPerformanceParticipationAllocation</link:label>
    <link:label id="lab_bxinfra_IncreaseDecreaseInAccruedPerformanceParticipationAllocation_documentation_en-US" xlink:label="lab_bxinfra_IncreaseDecreaseInAccruedPerformanceParticipationAllocation" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Increase decrease in accrued performance participation allocation</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_IncreaseDecreaseInAccruedPerformanceParticipationAllocation" xlink:href="bxinfra-20260930.xsd#bxinfra_IncreaseDecreaseInAccruedPerformanceParticipationAllocation"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_IncreaseDecreaseInAccruedPerformanceParticipationAllocation" xlink:to="lab_bxinfra_IncreaseDecreaseInAccruedPerformanceParticipationAllocation" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_PercentageOfAdministrationFeePayable_019f1937-2165-7061-a332-a446d6c5e25a_terseLabel_en-US" xlink:label="lab_bxinfra_PercentageOfAdministrationFeePayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage of administration fee payable</link:label>
    <link:label id="lab_bxinfra_PercentageOfAdministrationFeePayable_label_en-US" xlink:label="lab_bxinfra_PercentageOfAdministrationFeePayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Percentage of Administration fee payable</link:label>
    <link:label id="lab_bxinfra_PercentageOfAdministrationFeePayable_documentation_en-US" xlink:label="lab_bxinfra_PercentageOfAdministrationFeePayable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Percentage of administration fee payable.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_PercentageOfAdministrationFeePayable" xlink:href="bxinfra-20260930.xsd#bxinfra_PercentageOfAdministrationFeePayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PercentageOfAdministrationFeePayable" xlink:to="lab_bxinfra_PercentageOfAdministrationFeePayable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentTypeCategorizationMember_019f1937-2210-7c24-a09d-f62e215c4ab2_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/2026/elts/us-gaap-2026.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_bxinfra_AffiliatedInvesteeMember_019f1937-2165-74fa-8d79-e6083919d2e1_terseLabel_en-US" xlink:label="lab_bxinfra_AffiliatedInvesteeMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Affiliated Investee Funds</link:label>
    <link:label id="lab_bxinfra_AffiliatedInvesteeMember_label_en-US" xlink:label="lab_bxinfra_AffiliatedInvesteeMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Affiliated Investee [Member]</link:label>
    <link:label id="lab_bxinfra_AffiliatedInvesteeMember_documentation_en-US" xlink:label="lab_bxinfra_AffiliatedInvesteeMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Affiliated Investee [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_AffiliatedInvesteeMember" xlink:href="bxinfra-20260930.xsd#bxinfra_AffiliatedInvesteeMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AffiliatedInvesteeMember" xlink:to="lab_bxinfra_AffiliatedInvesteeMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInManagementFeePayable_019f1937-220f-7992-9b3f-fc8f09c71b1c_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">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/2026/elts/us-gaap-2026.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_us-gaap_RelatedPartyTransactionsDisclosureTextBlock_019f1937-220f-735a-81bd-721497b1be56_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">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/2026/elts/us-gaap-2026.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_bxinfra_IncreaseDecreaseInOfferingCostsPayable_019f1937-2166-7d89-9266-f77783d5c241_terseLabel_en-US" xlink:label="lab_bxinfra_IncreaseDecreaseInOfferingCostsPayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Offering Costs Payable</link:label>
    <link:label id="lab_bxinfra_IncreaseDecreaseInOfferingCostsPayable_label_en-US" xlink:label="lab_bxinfra_IncreaseDecreaseInOfferingCostsPayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) In Offering Costs Payable</link:label>
    <link:label id="lab_bxinfra_IncreaseDecreaseInOfferingCostsPayable_documentation_en-US" xlink:label="lab_bxinfra_IncreaseDecreaseInOfferingCostsPayable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Increase decrease in offering costs payable.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_IncreaseDecreaseInOfferingCostsPayable" xlink:href="bxinfra-20260930.xsd#bxinfra_IncreaseDecreaseInOfferingCostsPayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_IncreaseDecreaseInOfferingCostsPayable" xlink:to="lab_bxinfra_IncreaseDecreaseInOfferingCostsPayable" 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/2026/ecd-2026.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_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersIntoLevel3_019f1937-2165-77dc-acbe-b51ccd31a4a5_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersIntoLevel3" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transfers Into Level III</link:label>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersIntoLevel3_label_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersIntoLevel3" 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 Into Level 3</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersIntoLevel3" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersIntoLevel3"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersIntoLevel3" xlink:to="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersIntoLevel3" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_BXPEUSAggregatorCYMLPMember_019f1937-220f-7a7b-ac5c-f9da72163691_terseLabel_en-US" xlink:label="lab_bxinfra_BXPEUSAggregatorCYMLPMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">BXPE US Aggregator (CYM) L.P</link:label>
    <link:label id="lab_bxinfra_BXPEUSAggregatorCYMLPMember_label_en-US" xlink:label="lab_bxinfra_BXPEUSAggregatorCYMLPMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">BXPE US Aggregator CYM LP [Member]</link:label>
    <link:label id="lab_bxinfra_BXPEUSAggregatorCYMLPMember_documentation_en-US" xlink:label="lab_bxinfra_BXPEUSAggregatorCYMLPMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">BXPE US Aggregator CYM LP [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_BXPEUSAggregatorCYMLPMember" xlink:href="bxinfra-20260930.xsd#bxinfra_BXPEUSAggregatorCYMLPMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_BXPEUSAggregatorCYMLPMember" xlink:to="lab_bxinfra_BXPEUSAggregatorCYMLPMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityAddressStateOrProvince_019f1937-220f-7ce5-a279-1f3f6ea5e73c_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:label id="lab_dei_EntityAddressStateOrProvince_label_en-US" xlink:label="lab_dei_EntityAddressStateOrProvince" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_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/2026/ecd-2026.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_bxinfra_UnitsIssuedForFees_019f3652-8957-7adc-82cb-799173b6e268_terseLabel_en-US" xlink:label="lab_bxinfra_UnitsIssuedForFees" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Issuance of Class I-Series I Units for Director Fees</link:label>
    <link:label id="lab_bxinfra_UnitsIssuedForFees_label_en-US" xlink:label="lab_bxinfra_UnitsIssuedForFees" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Units Issued For Fees</link:label>
    <link:label id="lab_bxinfra_UnitsIssuedForFees_documentation_en-US" xlink:label="lab_bxinfra_UnitsIssuedForFees" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Units Issued For Fees</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_UnitsIssuedForFees" xlink:href="bxinfra-20260930.xsd#bxinfra_UnitsIssuedForFees"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_UnitsIssuedForFees" xlink:to="lab_bxinfra_UnitsIssuedForFees" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AssetsFairValueDisclosureAbstract_019f1937-220f-716f-9cf3-f7a8c70d23da_terseLabel_en-US" xlink:label="lab_us-gaap_AssetsFairValueDisclosureAbstract" 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_AssetsFairValueDisclosureAbstract_label_en-US" xlink:label="lab_us-gaap_AssetsFairValueDisclosureAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Assets, Fair Value Disclosure [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsFairValueDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AssetsFairValueDisclosureAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetsFairValueDisclosureAbstract" xlink:to="lab_us-gaap_AssetsFairValueDisclosureAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CashAndCashEquivalentsAbstract_019f1937-220f-75c8-b3a1-4a4b466a734f_terseLabel_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsAbstract" 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_CashAndCashEquivalentsAbstract_label_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash and Cash Equivalents [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashAndCashEquivalentsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashAndCashEquivalentsAbstract" xlink:to="lab_us-gaap_CashAndCashEquivalentsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_PaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction_019fce29-73cd-7dec-9aab-2ffb3db9f894_negatedLabel_en-US" xlink:label="lab_bxinfra_PaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Redemption of Units</link:label>
    <link:label id="lab_bxinfra_PaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction_019f1937-220f-748c-b056-16058aa7f455_negatedTerseLabel_en-US" xlink:label="lab_bxinfra_PaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Redemption of Units, Net of Early Redemption Deduction</link:label>
    <link:label id="lab_bxinfra_PaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction_label_en-US" xlink:label="lab_bxinfra_PaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payments For Repurchase Of Units Net Of Early Repurchase Deduction</link:label>
    <link:label id="lab_bxinfra_PaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction_documentation_en-US" xlink:label="lab_bxinfra_PaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Payments For Repurchase Of Units Net Of Early Repurchase Deduction</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_PaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:href="bxinfra-20260930.xsd#bxinfra_PaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:to="lab_bxinfra_PaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_LimitedPartnersCapitalAccountCashRetainedUnitsIssued_01a1a9fb-a5a0-7fd1-bdce-c3396cc92f05_terseLabel_en-US" xlink:label="lab_bxinfra_LimitedPartnersCapitalAccountCashRetainedUnitsIssued" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Units issued (in shares)</link:label>
    <link:label id="lab_bxinfra_LimitedPartnersCapitalAccountCashRetainedUnitsIssued_label_en-US" xlink:label="lab_bxinfra_LimitedPartnersCapitalAccountCashRetainedUnitsIssued" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Limited Partners' Capital Account, Cash Retained, Units Issued</link:label>
    <link:label id="lab_bxinfra_LimitedPartnersCapitalAccountCashRetainedUnitsIssued_documentation_en-US" xlink:label="lab_bxinfra_LimitedPartnersCapitalAccountCashRetainedUnitsIssued" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Limited Partners' Capital Account, Cash Retained, Units Issued</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_LimitedPartnersCapitalAccountCashRetainedUnitsIssued" xlink:href="bxinfra-20260930.xsd#bxinfra_LimitedPartnersCapitalAccountCashRetainedUnitsIssued"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_LimitedPartnersCapitalAccountCashRetainedUnitsIssued" xlink:to="lab_bxinfra_LimitedPartnersCapitalAccountCashRetainedUnitsIssued" 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/2026/ecd-2026.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_FairValueByBalanceSheetGroupingTable_019f1937-220f-7b9c-b3fb-c8cb0ffddfcb_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueByBalanceSheetGroupingTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value, by Balance Sheet Grouping [Table]</link:label>
    <link:label id="lab_us-gaap_FairValueByBalanceSheetGroupingTable_label_en-US" xlink:label="lab_us-gaap_FairValueByBalanceSheetGroupingTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, by Balance Sheet Grouping [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueByBalanceSheetGroupingTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueByBalanceSheetGroupingTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueByBalanceSheetGroupingTable" xlink:to="lab_us-gaap_FairValueByBalanceSheetGroupingTable" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_PaymentForPerformanceParticipationAllocation_01a1c668-bb83-7386-ad44-5a03a5fbb9d4_terseLabel_en-US" xlink:label="lab_bxinfra_PaymentForPerformanceParticipationAllocation" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash paid for performance participation allocation</link:label>
    <link:label id="lab_bxinfra_PaymentForPerformanceParticipationAllocation_label_en-US" xlink:label="lab_bxinfra_PaymentForPerformanceParticipationAllocation" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payment For Performance Participation Allocation</link:label>
    <link:label id="lab_bxinfra_PaymentForPerformanceParticipationAllocation_documentation_en-US" xlink:label="lab_bxinfra_PaymentForPerformanceParticipationAllocation" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Payment For Performance Participation Allocation</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_PaymentForPerformanceParticipationAllocation" xlink:href="bxinfra-20260930.xsd#bxinfra_PaymentForPerformanceParticipationAllocation"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PaymentForPerformanceParticipationAllocation" xlink:to="lab_bxinfra_PaymentForPerformanceParticipationAllocation" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NumberOfReportableSegments_019f1937-220f-7788-ad8a-3776ecc25d20_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/2026/elts/us-gaap-2026.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_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/2026/elts/us-gaap-2026.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_bxinfra_DigitalInfrastructureMember_019f1937-220f-7b6f-ad51-dd4edc4eb047_terseLabel_en-US" xlink:label="lab_bxinfra_DigitalInfrastructureMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Digital Infrastructure</link:label>
    <link:label id="lab_bxinfra_DigitalInfrastructureMember_label_en-US" xlink:label="lab_bxinfra_DigitalInfrastructureMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Digital Infrastructure [Member]</link:label>
    <link:label id="lab_bxinfra_DigitalInfrastructureMember_documentation_en-US" xlink:label="lab_bxinfra_DigitalInfrastructureMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Digital Infrastructure</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DigitalInfrastructureMember" xlink:href="bxinfra-20260930.xsd#bxinfra_DigitalInfrastructureMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DigitalInfrastructureMember" xlink:to="lab_bxinfra_DigitalInfrastructureMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_AdministrationFeesPayable_019f1937-220f-72aa-97f6-5091a164ebd6_terseLabel_en-US" xlink:label="lab_bxinfra_AdministrationFeesPayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Administration Fees Payable</link:label>
    <link:label id="lab_bxinfra_AdministrationFeesPayable_label_en-US" xlink:label="lab_bxinfra_AdministrationFeesPayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Administration Fees Payable</link:label>
    <link:label id="lab_bxinfra_AdministrationFeesPayable_documentation_en-US" xlink:label="lab_bxinfra_AdministrationFeesPayable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Administration fees payable.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_AdministrationFeesPayable" xlink:href="bxinfra-20260930.xsd#bxinfra_AdministrationFeesPayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AdministrationFeesPayable" xlink:to="lab_bxinfra_AdministrationFeesPayable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfDerivativeInstrumentsTextBlock_019f1937-220f-7513-9173-c8c88eece4f8_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfDerivativeInstrumentsTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of the Aggregate Notional Amount and Fair Value of the Derivative Instruments</link:label>
    <link:label id="lab_us-gaap_ScheduleOfDerivativeInstrumentsTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfDerivativeInstrumentsTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Derivative Instruments [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfDerivativeInstrumentsTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfDerivativeInstrumentsTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfDerivativeInstrumentsTextBlock" xlink:to="lab_us-gaap_ScheduleOfDerivativeInstrumentsTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EMEAMember_019f1937-2210-7652-aaaf-0d1390a77424_terseLabel_en-US" xlink:label="lab_us-gaap_EMEAMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">EMEA</link:label>
    <link:label id="lab_us-gaap_EMEAMember_label_en-US" xlink:label="lab_us-gaap_EMEAMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EMEA [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EMEAMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EMEAMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EMEAMember" xlink:to="lab_us-gaap_EMEAMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityAddressCityOrTown_019f1937-220f-73d2-b45a-50eea82b443d_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:label id="lab_dei_EntityAddressCityOrTown_label_en-US" xlink:label="lab_dei_EntityAddressCityOrTown" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_us-gaap_DerivativeFairValueOfDerivativeNet_01a1c127-c4af-7260-b6eb-d7265e4f6111_totalLabel_en-US" xlink:label="lab_us-gaap_DerivativeFairValueOfDerivativeNet" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Derivative, Fair Value</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/2026/elts/us-gaap-2026.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_bxinfra_InvestmentOnRemainingValue_019f1937-2166-7a16-b164-486b211d36b1_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentOnRemainingValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment on remaining value</link:label>
    <link:label id="lab_bxinfra_InvestmentOnRemainingValue_label_en-US" xlink:label="lab_bxinfra_InvestmentOnRemainingValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment on Remaining Value</link:label>
    <link:label id="lab_bxinfra_InvestmentOnRemainingValue_documentation_en-US" xlink:label="lab_bxinfra_InvestmentOnRemainingValue" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment on remaining value.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentOnRemainingValue" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentOnRemainingValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentOnRemainingValue" xlink:to="lab_bxinfra_InvestmentOnRemainingValue" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_InvestmentCompanyNumberOfNewInvestments_01a1a421-4e70-7076-8b57-454d6aed1b98_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentCompanyNumberOfNewInvestments" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of new investments</link:label>
    <link:label id="lab_bxinfra_InvestmentCompanyNumberOfNewInvestments_label_en-US" xlink:label="lab_bxinfra_InvestmentCompanyNumberOfNewInvestments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Number Of New Investments</link:label>
    <link:label id="lab_bxinfra_InvestmentCompanyNumberOfNewInvestments_documentation_en-US" xlink:label="lab_bxinfra_InvestmentCompanyNumberOfNewInvestments" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Company, Number Of New Investments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentCompanyNumberOfNewInvestments" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentCompanyNumberOfNewInvestments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentCompanyNumberOfNewInvestments" xlink:to="lab_bxinfra_InvestmentCompanyNumberOfNewInvestments" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EquityMethodInvestmentsFairValueDisclosure_019f1937-220f-7ec3-a56f-ddfe78b572fe_terseLabel_en-US" xlink:label="lab_us-gaap_EquityMethodInvestmentsFairValueDisclosure" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Investments</link:label>
    <link:label id="lab_us-gaap_EquityMethodInvestmentsFairValueDisclosure_label_en-US" xlink:label="lab_us-gaap_EquityMethodInvestmentsFairValueDisclosure" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Method Investments, Fair Value Disclosure</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityMethodInvestmentsFairValueDisclosure" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquityMethodInvestmentsFairValueDisclosure"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquityMethodInvestmentsFairValueDisclosure" xlink:to="lab_us-gaap_EquityMethodInvestmentsFairValueDisclosure" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain_019f1937-220f-721b-8316-6e85015ac82c_terseLabel_en-US" xlink:label="lab_us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Class of Financing Receivable [Domain]</link:label>
    <link:label id="lab_us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain_label_en-US" xlink:label="lab_us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class of Financing Receivable [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain" xlink:to="lab_us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_TaxesPayableCurrentAndNoncurrent_019f1937-2210-70b0-aabc-37b0c2c6f861_terseLabel_en-US" xlink:label="lab_us-gaap_TaxesPayableCurrentAndNoncurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Taxes Payable</link:label>
    <link:label id="lab_us-gaap_TaxesPayableCurrentAndNoncurrent_label_en-US" xlink:label="lab_us-gaap_TaxesPayableCurrentAndNoncurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Taxes Payable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TaxesPayableCurrentAndNoncurrent" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TaxesPayableCurrentAndNoncurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_TaxesPayableCurrentAndNoncurrent" xlink:to="lab_us-gaap_TaxesPayableCurrentAndNoncurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_IncreaseDecreaseInOrganizationCostsPayable_019f1937-2165-71ca-bbd2-7ced0ed40421_terseLabel_en-US" xlink:label="lab_bxinfra_IncreaseDecreaseInOrganizationCostsPayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Organization Costs Payable</link:label>
    <link:label id="lab_bxinfra_IncreaseDecreaseInOrganizationCostsPayable_label_en-US" xlink:label="lab_bxinfra_IncreaseDecreaseInOrganizationCostsPayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">IncreaseDecreaseInOrganizationCostsPayable</link:label>
    <link:label id="lab_bxinfra_IncreaseDecreaseInOrganizationCostsPayable_documentation_en-US" xlink:label="lab_bxinfra_IncreaseDecreaseInOrganizationCostsPayable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Increase decrease in organization costs payable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_IncreaseDecreaseInOrganizationCostsPayable" xlink:href="bxinfra-20260930.xsd#bxinfra_IncreaseDecreaseInOrganizationCostsPayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_IncreaseDecreaseInOrganizationCostsPayable" xlink:to="lab_bxinfra_IncreaseDecreaseInOrganizationCostsPayable" xlink:type="arc" order="1"/>
    <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/2026/elts/us-gaap-2026.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_dei_DocumentInformationLineItems_019f1937-220f-73af-8ad2-5d64fbda5b5f_terseLabel_en-US" xlink:label="lab_dei_DocumentInformationLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Document Information [Line Items]</link:label>
    <link:label id="lab_dei_DocumentInformationLineItems_label_en-US" xlink:label="lab_dei_DocumentInformationLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Document Information [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentInformationLineItems" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentInformationLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentInformationLineItems" xlink:to="lab_dei_DocumentInformationLineItems" xlink:type="arc" order="1"/>
    <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/2026/ecd-2026.xsd#ecd_AwardTmgMnpiDiscTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_AwardTmgMnpiDiscTextBlock" xlink:to="lab_ecd_AwardTmgMnpiDiscTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BasisOfAccountingPolicyPolicyTextBlock_019f1937-2210-7edd-a508-6b844388ddd9_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/2026/elts/us-gaap-2026.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_us-gaap_StatementClassOfStockAxis_019f1937-2165-7272-95f3-3a3be1f55859_terseLabel_en-US" xlink:label="lab_us-gaap_StatementClassOfStockAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Class of Stock [Axis]</link:label>
    <link:label id="lab_us-gaap_StatementClassOfStockAxis_label_en-US" xlink:label="lab_us-gaap_StatementClassOfStockAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class of Stock [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementClassOfStockAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementClassOfStockAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementClassOfStockAxis" xlink:to="lab_us-gaap_StatementClassOfStockAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_WaterWasteInfrastructureMember_01a19bcd-155f-7f59-b4bf-413723d0a795_terseLabel_en-US" xlink:label="lab_bxinfra_WaterWasteInfrastructureMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Water &amp; Waste Infrastructure</link:label>
    <link:label id="lab_bxinfra_WaterWasteInfrastructureMember_label_en-US" xlink:label="lab_bxinfra_WaterWasteInfrastructureMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Water &amp; Waste Infrastructure [Member]</link:label>
    <link:label id="lab_bxinfra_WaterWasteInfrastructureMember_documentation_en-US" xlink:label="lab_bxinfra_WaterWasteInfrastructureMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Water &amp; Waste Infrastructure</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_WaterWasteInfrastructureMember" xlink:href="bxinfra-20260930.xsd#bxinfra_WaterWasteInfrastructureMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_WaterWasteInfrastructureMember" xlink:to="lab_bxinfra_WaterWasteInfrastructureMember" 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/2026/ecd-2026.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_us-gaap_PartnersCapitalAccountRedemptions_019f1937-2165-7fe9-a7fa-211a1751551f_terseLabel_en-US" xlink:label="lab_us-gaap_PartnersCapitalAccountRedemptions" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Partners' capital account, redemptions</link:label>
    <link:label id="lab_us-gaap_PartnersCapitalAccountRedemptions_label_en-US" xlink:label="lab_us-gaap_PartnersCapitalAccountRedemptions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Partners' Capital Account, Redemptions</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PartnersCapitalAccountRedemptions" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PartnersCapitalAccountRedemptions"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PartnersCapitalAccountRedemptions" xlink:to="lab_us-gaap_PartnersCapitalAccountRedemptions" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_CommitmentsAndContingenciesDisclosureTable_019f1937-2165-7cb4-b980-bcb3b57c2b0f_terseLabel_en-US" xlink:label="lab_bxinfra_CommitmentsAndContingenciesDisclosureTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Commitments And Contingencies Disclosure [Table]</link:label>
    <link:label id="lab_bxinfra_CommitmentsAndContingenciesDisclosureTable_label_en-US" xlink:label="lab_bxinfra_CommitmentsAndContingenciesDisclosureTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Commitments And Contingencies Disclosure [Table]</link:label>
    <link:label id="lab_bxinfra_CommitmentsAndContingenciesDisclosureTable_documentation_en-US" xlink:label="lab_bxinfra_CommitmentsAndContingenciesDisclosureTable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Commitments And Contingencies Disclosure [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_CommitmentsAndContingenciesDisclosureTable" xlink:href="bxinfra-20260930.xsd#bxinfra_CommitmentsAndContingenciesDisclosureTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_CommitmentsAndContingenciesDisclosureTable" xlink:to="lab_bxinfra_CommitmentsAndContingenciesDisclosureTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CapitalUnitClassDomain_019f1937-2165-7956-a143-c32cf063c1b4_terseLabel_en-US" xlink:label="lab_us-gaap_CapitalUnitClassDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Capital Unit, Class [Domain]</link:label>
    <link:label id="lab_us-gaap_CapitalUnitClassDomain_label_en-US" xlink:label="lab_us-gaap_CapitalUnitClassDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Capital Unit, Class [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CapitalUnitClassDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CapitalUnitClassDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CapitalUnitClassDomain" xlink:to="lab_us-gaap_CapitalUnitClassDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueInputsLevel2Member_019f1937-2165-7f19-aff9-44ca57c15a93_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 II</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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.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_InvestmentCompanyInvestmentIncomeLossPerShare_019f1937-220f-7313-9e71-0bea8e2dd905_verboseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Net Investment Income (Loss) (in dollars 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/2026/elts/us-gaap-2026.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_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity_019f1937-2165-7858-92a1-f13723cf6e8c_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">Maximum borrowing capacity</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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.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_us-gaap_ScheduleOfCollaborativeArrangementsAndNoncollaborativeArrangementTransactionsTable_019f1937-220f-74eb-8884-0fe4dc229016_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfCollaborativeArrangementsAndNoncollaborativeArrangementTransactionsTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Collaborative Arrangement and Arrangement Other than Collaborative [Table]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfCollaborativeArrangementsAndNoncollaborativeArrangementTransactionsTable_label_en-US" xlink:label="lab_us-gaap_ScheduleOfCollaborativeArrangementsAndNoncollaborativeArrangementTransactionsTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Collaborative Arrangement and Arrangement Other than Collaborative [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfCollaborativeArrangementsAndNoncollaborativeArrangementTransactionsTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfCollaborativeArrangementsAndNoncollaborativeArrangementTransactionsTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfCollaborativeArrangementsAndNoncollaborativeArrangementTransactionsTable" xlink:to="lab_us-gaap_ScheduleOfCollaborativeArrangementsAndNoncollaborativeArrangementTransactionsTable" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_OrganizationalExpensesMember_019f1937-2165-7e7c-b9a0-109067a5d8b4_terseLabel_en-US" xlink:label="lab_bxinfra_OrganizationalExpensesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Organizational Expenses</link:label>
    <link:label id="lab_bxinfra_OrganizationalExpensesMember_label_en-US" xlink:label="lab_bxinfra_OrganizationalExpensesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Organizational Expenses [Member]</link:label>
    <link:label id="lab_bxinfra_OrganizationalExpensesMember_documentation_en-US" xlink:label="lab_bxinfra_OrganizationalExpensesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Organizational Expenses.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_OrganizationalExpensesMember" xlink:href="bxinfra-20260930.xsd#bxinfra_OrganizationalExpensesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_OrganizationalExpensesMember" xlink:to="lab_bxinfra_OrganizationalExpensesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OpenFuturesContractIdentifierAxis_01a1b8a8-5ea3-79f1-9f44-0e2d715079dc_terseLabel_en-US" xlink:label="lab_us-gaap_OpenFuturesContractIdentifierAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Open Futures Contract, Identifier [Axis]</link:label>
    <link:label id="lab_us-gaap_OpenFuturesContractIdentifierAxis_label_en-US" xlink:label="lab_us-gaap_OpenFuturesContractIdentifierAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Open Futures Contract, Identifier [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OpenFuturesContractIdentifierAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OpenFuturesContractIdentifierAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OpenFuturesContractIdentifierAxis" xlink:to="lab_us-gaap_OpenFuturesContractIdentifierAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_Redemptionspayable_019f1937-220f-7336-bf8d-b9a75571f865_terseLabel_en-US" xlink:label="lab_bxinfra_Redemptionspayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Redemptions Payable</link:label>
    <link:label id="lab_bxinfra_Redemptionspayable_label_en-US" xlink:label="lab_bxinfra_Redemptionspayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Redemptions Payable</link:label>
    <link:label id="lab_bxinfra_Redemptionspayable_documentation_en-US" xlink:label="lab_bxinfra_Redemptionspayable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Redemptions&#160;payable.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_Redemptionspayable" xlink:href="bxinfra-20260930.xsd#bxinfra_Redemptionspayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_Redemptionspayable" xlink:to="lab_bxinfra_Redemptionspayable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherExpenses_019f1937-220f-7548-8e03-0e0f21646fd1_verboseLabel_en-US" xlink:label="lab_us-gaap_OtherExpenses" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Other</link:label>
    <link:label id="lab_us-gaap_OtherExpenses_019f1937-220f-7634-8ee2-56d0cfa6bfd0_terseLabel_en-US" xlink:label="lab_us-gaap_OtherExpenses" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other</link:label>
    <link:label id="lab_us-gaap_OtherExpenses_label_en-US" xlink:label="lab_us-gaap_OtherExpenses" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Expenses</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherExpenses" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherExpenses"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherExpenses" xlink:to="lab_us-gaap_OtherExpenses" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DistributionsMadeToMemberOrLimitedPartnerByDistributionTypeAxis_019f1937-220f-7343-8329-05e4465cfd95_terseLabel_en-US" xlink:label="lab_us-gaap_DistributionsMadeToMemberOrLimitedPartnerByDistributionTypeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distribution Type [Axis]</link:label>
    <link:label id="lab_us-gaap_DistributionsMadeToMemberOrLimitedPartnerByDistributionTypeAxis_label_en-US" xlink:label="lab_us-gaap_DistributionsMadeToMemberOrLimitedPartnerByDistributionTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Distribution Type [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DistributionsMadeToMemberOrLimitedPartnerByDistributionTypeAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DistributionsMadeToMemberOrLimitedPartnerByDistributionTypeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DistributionsMadeToMemberOrLimitedPartnerByDistributionTypeAxis" xlink:to="lab_us-gaap_DistributionsMadeToMemberOrLimitedPartnerByDistributionTypeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DividendIncomeOperating_019f1937-220f-7852-97fb-c6b202cc0e28_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_019f1937-220f-737a-bd59-2f42462736de_verboseLabel_en-US" xlink:label="lab_us-gaap_DividendIncomeOperating" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" 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/2026/elts/us-gaap-2026.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_bxinfra_TransportationMember_019f1937-220f-7ce0-8773-548bcd76a9e3_terseLabel_en-US" xlink:label="lab_bxinfra_TransportationMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transportation Infrastructure</link:label>
    <link:label id="lab_bxinfra_TransportationMember_label_en-US" xlink:label="lab_bxinfra_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_bxinfra_TransportationMember_documentation_en-US" xlink:label="lab_bxinfra_TransportationMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Transportation [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_TransportationMember" xlink:href="bxinfra-20260930.xsd#bxinfra_TransportationMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_TransportationMember" xlink:to="lab_bxinfra_TransportationMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsequentEventTypeAxis_019f1937-220f-765a-be43-c054f3af11ac_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/2026/elts/us-gaap-2026.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_bxinfra_InvestmentInTheAggregatorLineItems_019f1937-2165-7f3a-bc3f-a604909af85b_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentInTheAggregatorLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment in the Aggregator [Line Items]</link:label>
    <link:label id="lab_bxinfra_InvestmentInTheAggregatorLineItems_label_en-US" xlink:label="lab_bxinfra_InvestmentInTheAggregatorLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment in the Aggregator [Line Items]</link:label>
    <link:label id="lab_bxinfra_InvestmentInTheAggregatorLineItems_documentation_en-US" xlink:label="lab_bxinfra_InvestmentInTheAggregatorLineItems" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment in the aggregator.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentInTheAggregatorLineItems" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentInTheAggregatorLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentInTheAggregatorLineItems" xlink:to="lab_bxinfra_InvestmentInTheAggregatorLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_DebtInvestmentLiquidMember_019f1937-220f-72bf-9892-053a30f98e84_terseLabel_en-US" xlink:label="lab_bxinfra_DebtInvestmentLiquidMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Investment - Liquid</link:label>
    <link:label id="lab_bxinfra_DebtInvestmentLiquidMember_label_en-US" xlink:label="lab_bxinfra_DebtInvestmentLiquidMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Investment - Liquid [Member]</link:label>
    <link:label id="lab_bxinfra_DebtInvestmentLiquidMember_documentation_en-US" xlink:label="lab_bxinfra_DebtInvestmentLiquidMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Investment - Liquid</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DebtInvestmentLiquidMember" xlink:href="bxinfra-20260930.xsd#bxinfra_DebtInvestmentLiquidMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DebtInvestmentLiquidMember" xlink:to="lab_bxinfra_DebtInvestmentLiquidMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentTable_019f1937-220f-7d44-8924-ab69eb67c4eb_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/2026/elts/us-gaap-2026.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_us-gaap_InvestmentIncomeInvestmentExpense_019f1937-2165-79fb-b2f4-9a7dfebbaed0_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 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/2026/elts/us-gaap-2026.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_us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_019f1937-220f-72f0-8f83-15dc67dd883f_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">Recent Accounting Developments</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/2026/elts/us-gaap-2026.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_bxinfra_LineOfCreditFacilityRepaymentOptionOneMember_019f1937-2165-7911-825b-63baa11904d0_terseLabel_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityRepaymentOptionOneMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Repayment option, expiration of credit line of lender demands</link:label>
    <link:label id="lab_bxinfra_LineOfCreditFacilityRepaymentOptionOneMember_label_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityRepaymentOptionOneMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line Of Credit Facility, Repayment Option One [Member]</link:label>
    <link:label id="lab_bxinfra_LineOfCreditFacilityRepaymentOptionOneMember_documentation_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityRepaymentOptionOneMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Line Of Credit Facility, Repayment Option One</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_LineOfCreditFacilityRepaymentOptionOneMember" xlink:href="bxinfra-20260930.xsd#bxinfra_LineOfCreditFacilityRepaymentOptionOneMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_LineOfCreditFacilityRepaymentOptionOneMember" xlink:to="lab_bxinfra_LineOfCreditFacilityRepaymentOptionOneMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_UseOfEstimates_019f1937-2165-70e4-9627-ec36649c794c_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/2026/elts/us-gaap-2026.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_bxinfra_WarehousingAgreementTextBlock_019f1937-220f-749d-b9f4-0852f5df89da_terseLabel_en-US" xlink:label="lab_bxinfra_WarehousingAgreementTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Warehousing Agreement</link:label>
    <link:label id="lab_bxinfra_WarehousingAgreementTextBlock_label_en-US" xlink:label="lab_bxinfra_WarehousingAgreementTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Warehousing Agreement [Text Block]</link:label>
    <link:label id="lab_bxinfra_WarehousingAgreementTextBlock_documentation_en-US" xlink:label="lab_bxinfra_WarehousingAgreementTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Warehousing agreement.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_WarehousingAgreementTextBlock" xlink:href="bxinfra-20260930.xsd#bxinfra_WarehousingAgreementTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_WarehousingAgreementTextBlock" xlink:to="lab_bxinfra_WarehousingAgreementTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_019f1937-220f-7d03-91a6-20d5e31de91c_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 and Nonrelated Parties [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/2026/elts/us-gaap-2026.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_RepaymentsOfLinesOfCredit_019f1937-2165-7e4e-8fc8-3e8f86f8dc00_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_RepaymentsOfLinesOfCredit" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Repayment of Borrowings</link:label>
    <link:label id="lab_us-gaap_RepaymentsOfLinesOfCredit_label_en-US" xlink:label="lab_us-gaap_RepaymentsOfLinesOfCredit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Repayments of Lines of Credit</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RepaymentsOfLinesOfCredit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RepaymentsOfLinesOfCredit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RepaymentsOfLinesOfCredit" xlink:to="lab_us-gaap_RepaymentsOfLinesOfCredit" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseDueFromAffiliates_019f1937-220f-7599-b1b0-f61b14486b89_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">Due from Affiliates</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseDueFromAffiliates_019f1937-220f-7423-a90c-265cc2605e3a_negatedLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseDueFromAffiliates" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Due from Affiliates</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>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseDueFromAffiliates" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseDueFromAffiliates"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseDueFromAffiliates" xlink:to="lab_us-gaap_IncreaseDecreaseDueFromAffiliates" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan_019f1937-2165-7355-b797-704d0f055446_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">Distributions reinvested (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/2026/elts/us-gaap-2026.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_bxinfra_AgreementDomain_019f1937-2210-74ad-99a4-3b57784e2733_terseLabel_en-US" xlink:label="lab_bxinfra_AgreementDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Agreement [Domain]</link:label>
    <link:label id="lab_bxinfra_AgreementDomain_label_en-US" xlink:label="lab_bxinfra_AgreementDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Agreement [Domain]</link:label>
    <link:label id="lab_bxinfra_AgreementDomain_documentation_en-US" xlink:label="lab_bxinfra_AgreementDomain" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Agreement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_AgreementDomain" xlink:href="bxinfra-20260930.xsd#bxinfra_AgreementDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AgreementDomain" xlink:to="lab_bxinfra_AgreementDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_Maturity30To90DaysMember_019f1937-220f-725e-8b10-841ce68adb48_terseLabel_en-US" xlink:label="lab_us-gaap_Maturity30To90DaysMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">30 - 90 Days</link:label>
    <link:label id="lab_us-gaap_Maturity30To90DaysMember_label_en-US" xlink:label="lab_us-gaap_Maturity30To90DaysMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Maturity 30 to 90 Days [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Maturity30To90DaysMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Maturity30To90DaysMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_Maturity30To90DaysMember" xlink:to="lab_us-gaap_Maturity30To90DaysMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable_019f1937-2165-7952-a31d-e211c4b0f9f6_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Taxes Payable</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Income Taxes Payable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable" xlink:to="lab_us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract_019f1937-220f-7154-9b0e-1e0c6a7114b2_terseLabel_en-US" xlink:label="lab_us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Supplemental Disclosure of Non-Cash Financing Activities</link:label>
    <link:label id="lab_us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract_label_en-US" xlink:label="lab_us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash Flow, Noncash Investing and Financing Activities Disclosure [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract" xlink:to="lab_us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_PaymentForReinvestedDividendsInAffiliatedFunds_019f1937-220f-7c00-84c4-d275d7ae11d8_negatedLabel_en-US" xlink:label="lab_bxinfra_PaymentForReinvestedDividendsInAffiliatedFunds" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Reinvested Dividends in Affiliated Investee Funds</link:label>
    <link:label id="lab_bxinfra_PaymentForReinvestedDividendsInAffiliatedFunds_label_en-US" xlink:label="lab_bxinfra_PaymentForReinvestedDividendsInAffiliatedFunds" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payment For Reinvested Dividends In Affiliated Funds</link:label>
    <link:label id="lab_bxinfra_PaymentForReinvestedDividendsInAffiliatedFunds_documentation_en-US" xlink:label="lab_bxinfra_PaymentForReinvestedDividendsInAffiliatedFunds" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Payment For Reinvested Dividends In Affiliated Funds</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_PaymentForReinvestedDividendsInAffiliatedFunds" xlink:href="bxinfra-20260930.xsd#bxinfra_PaymentForReinvestedDividendsInAffiliatedFunds"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PaymentForReinvestedDividendsInAffiliatedFunds" xlink:to="lab_bxinfra_PaymentForReinvestedDividendsInAffiliatedFunds" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentPeriodEndDate_019f1937-220f-731b-9ca4-5350c200b9ef_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:label id="lab_dei_DocumentPeriodEndDate_label_en-US" xlink:label="lab_dei_DocumentPeriodEndDate" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_019f1937-2165-738a-95c2-cd8965604f72_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">Cash Flows Due to 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/2026/elts/us-gaap-2026.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_us-gaap_GeneralPartnersCapitalAccount_019f1937-2165-77bc-a510-7457c6fa4b23_terseLabel_en-US" xlink:label="lab_us-gaap_GeneralPartnersCapitalAccount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">General Partner Interest</link:label>
    <link:label id="lab_us-gaap_GeneralPartnersCapitalAccount_label_en-US" xlink:label="lab_us-gaap_GeneralPartnersCapitalAccount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">General Partners' Capital Account</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GeneralPartnersCapitalAccount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_GeneralPartnersCapitalAccount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_GeneralPartnersCapitalAccount" xlink:to="lab_us-gaap_GeneralPartnersCapitalAccount" 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/2026/ecd-2026.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_bxinfra_MoneyMarketFundsPercentOfNetAssets_01a1b8b1-9906-78ba-a109-cef35ae2df2a_terseLabel_en-US" xlink:label="lab_bxinfra_MoneyMarketFundsPercentOfNetAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Money Market Fund, Fair Value as a Percentage of Net Assets</link:label>
    <link:label id="lab_bxinfra_MoneyMarketFundsPercentOfNetAssets_label_en-US" xlink:label="lab_bxinfra_MoneyMarketFundsPercentOfNetAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Money Market Funds, Percent Of Net Assets</link:label>
    <link:label id="lab_bxinfra_MoneyMarketFundsPercentOfNetAssets_documentation_en-US" xlink:label="lab_bxinfra_MoneyMarketFundsPercentOfNetAssets" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Money Market Funds, Percent Of Net Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_MoneyMarketFundsPercentOfNetAssets" xlink:href="bxinfra-20260930.xsd#bxinfra_MoneyMarketFundsPercentOfNetAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_MoneyMarketFundsPercentOfNetAssets" xlink:to="lab_bxinfra_MoneyMarketFundsPercentOfNetAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ClassDTEUnitsMember_019f1937-220f-7fd3-9b4f-8165d3f29fcb_terseLabel_en-US" xlink:label="lab_bxinfra_ClassDTEUnitsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Class D-TE Units</link:label>
    <link:label id="lab_bxinfra_ClassDTEUnitsMember_label_en-US" xlink:label="lab_bxinfra_ClassDTEUnitsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class D-TE Units [Member]</link:label>
    <link:label id="lab_bxinfra_ClassDTEUnitsMember_documentation_en-US" xlink:label="lab_bxinfra_ClassDTEUnitsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Class D-TE Units</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ClassDTEUnitsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ClassDTEUnitsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ClassDTEUnitsMember" xlink:to="lab_bxinfra_ClassDTEUnitsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentsAllOtherInvestmentsAbstract_label_en-US" xlink:label="lab_us-gaap_InvestmentsAllOtherInvestmentsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investments, All Other Investments [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentsAllOtherInvestmentsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentsAllOtherInvestmentsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentsAllOtherInvestmentsAbstract" xlink:to="lab_us-gaap_InvestmentsAllOtherInvestmentsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AssetsNet_019f1937-220f-7958-9c3f-64a3c55adc7e_periodStartLabel_en-US" xlink:label="lab_us-gaap_AssetsNet" 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_AssetsNet_019f1937-220f-74b5-96ff-0675df48e7d1_periodEndLabel_en-US" xlink:label="lab_us-gaap_AssetsNet" 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_AssetsNet_label_en-US" xlink:label="lab_us-gaap_AssetsNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AssetsNet"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetsNet" xlink:to="lab_us-gaap_AssetsNet" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentInterestRateEffectivePercentage_019f1937-220f-74ab-b59e-0b69864b49e6_terseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentInterestRateEffectivePercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest rate percentage</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentInterestRateEffectivePercentage_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentInterestRateEffectivePercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Interest Rate, Effective Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentInterestRateEffectivePercentage" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentInterestRateEffectivePercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentInterestRateEffectivePercentage" xlink:to="lab_us-gaap_DebtInstrumentInterestRateEffectivePercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ValuationTechniqueAxis_019f1937-2165-782f-bd57-3ea3a16f89b6_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/2026/elts/us-gaap-2026.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_bxinfra_NumberOfInvestmentsAcquired_019f1937-220f-7ac8-8a46-72176c636010_terseLabel_en-US" xlink:label="lab_bxinfra_NumberOfInvestmentsAcquired" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of investments acquired</link:label>
    <link:label id="lab_bxinfra_NumberOfInvestmentsAcquired_label_en-US" xlink:label="lab_bxinfra_NumberOfInvestmentsAcquired" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Investments Acquired</link:label>
    <link:label id="lab_bxinfra_NumberOfInvestmentsAcquired_documentation_en-US" xlink:label="lab_bxinfra_NumberOfInvestmentsAcquired" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number Of Investments Acquired</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_NumberOfInvestmentsAcquired" xlink:href="bxinfra-20260930.xsd#bxinfra_NumberOfInvestmentsAcquired"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_NumberOfInvestmentsAcquired" xlink:to="lab_bxinfra_NumberOfInvestmentsAcquired" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityShellCompany_019f1937-220f-7272-a463-33a80e7f6ed2_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:label id="lab_dei_EntityShellCompany_label_en-US" xlink:label="lab_dei_EntityShellCompany" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_bxinfra_ClassILimitedPartnershipUnitsMember_019f1937-2165-7920-ace9-bee165bf20e7_terseLabel_en-US" xlink:label="lab_bxinfra_ClassILimitedPartnershipUnitsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Class I Limited Partnership Units</link:label>
    <link:label id="lab_bxinfra_ClassILimitedPartnershipUnitsMember_label_en-US" xlink:label="lab_bxinfra_ClassILimitedPartnershipUnitsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class I Limited Partnership Units [Member]</link:label>
    <link:label id="lab_bxinfra_ClassILimitedPartnershipUnitsMember_documentation_en-US" xlink:label="lab_bxinfra_ClassILimitedPartnershipUnitsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Class I limited partnership units.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ClassILimitedPartnershipUnitsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ClassILimitedPartnershipUnitsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ClassILimitedPartnershipUnitsMember" xlink:to="lab_bxinfra_ClassILimitedPartnershipUnitsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NoninterestExpenseDirectorsFees_019f1937-2165-7d03-86da-68e6f35a0f42_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&#8217; 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/2026/elts/us-gaap-2026.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_bxinfra_PercentageOfManagementFeePayable_019f1937-220f-7c5e-82fb-dfc4d6f45ba0_terseLabel_en-US" xlink:label="lab_bxinfra_PercentageOfManagementFeePayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage of management fee payable</link:label>
    <link:label id="lab_bxinfra_PercentageOfManagementFeePayable_label_en-US" xlink:label="lab_bxinfra_PercentageOfManagementFeePayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Percentage Of Management Fee Payable</link:label>
    <link:label id="lab_bxinfra_PercentageOfManagementFeePayable_documentation_en-US" xlink:label="lab_bxinfra_PercentageOfManagementFeePayable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Percentage of management fee payable.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_PercentageOfManagementFeePayable" xlink:href="bxinfra-20260930.xsd#bxinfra_PercentageOfManagementFeePayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PercentageOfManagementFeePayable" xlink:to="lab_bxinfra_PercentageOfManagementFeePayable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SegmentReportingPolicyPolicyTextBlock_019f1937-2165-7665-b0d0-c0a481e67123_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/2026/elts/us-gaap-2026.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_us-gaap_IncomeTaxUncertaintiesPolicy_019f1937-2165-7ef1-b65d-cbabe035252f_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeTaxUncertaintiesPolicy" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Uncertain Tax Positions</link:label>
    <link:label id="lab_us-gaap_IncomeTaxUncertaintiesPolicy_label_en-US" xlink:label="lab_us-gaap_IncomeTaxUncertaintiesPolicy" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Income Tax Uncertainties, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxUncertaintiesPolicy" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxUncertaintiesPolicy"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxUncertaintiesPolicy" xlink:to="lab_us-gaap_IncomeTaxUncertaintiesPolicy" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_TotalDerivativesMember_019f1937-2166-79cc-b712-1ca16165e868_terseLabel_en-US" xlink:label="lab_bxinfra_TotalDerivativesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total Derivatives</link:label>
    <link:label id="lab_bxinfra_TotalDerivativesMember_label_en-US" xlink:label="lab_bxinfra_TotalDerivativesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Total Derivatives [Member]</link:label>
    <link:label id="lab_bxinfra_TotalDerivativesMember_documentation_en-US" xlink:label="lab_bxinfra_TotalDerivativesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Total Derivatives</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_TotalDerivativesMember" xlink:href="bxinfra-20260930.xsd#bxinfra_TotalDerivativesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_TotalDerivativesMember" xlink:to="lab_bxinfra_TotalDerivativesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentHoldingsScheduleOfInvestmentsTableTextBlock_01a11148-4350-7dee-8037-2f3a928970b7_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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.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_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/2026/ecd-2026.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_dei_DocumentFiscalPeriodFocus_019f1937-2165-7e1a-b5ff-808b4cb7d80c_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:label id="lab_dei_DocumentFiscalPeriodFocus_label_en-US" xlink:label="lab_dei_DocumentFiscalPeriodFocus" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_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/2026/ecd-2026.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_bxinfra_InvestmentCompanyCashReceivedDuringTheCommitment_019f1937-2165-7a30-a9b6-b7ad755330e3_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentCompanyCashReceivedDuringTheCommitment" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment company cash received</link:label>
    <link:label id="lab_bxinfra_InvestmentCompanyCashReceivedDuringTheCommitment_label_en-US" xlink:label="lab_bxinfra_InvestmentCompanyCashReceivedDuringTheCommitment" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company Cash Received During the Commitment</link:label>
    <link:label id="lab_bxinfra_InvestmentCompanyCashReceivedDuringTheCommitment_documentation_en-US" xlink:label="lab_bxinfra_InvestmentCompanyCashReceivedDuringTheCommitment" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Company Cash Received During the Commitment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentCompanyCashReceivedDuringTheCommitment" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentCompanyCashReceivedDuringTheCommitment"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentCompanyCashReceivedDuringTheCommitment" xlink:to="lab_bxinfra_InvestmentCompanyCashReceivedDuringTheCommitment" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_InvestmentOperations_019f1937-2165-72ed-a3b9-6139f939275d_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentOperations" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Increase in Net Assets Resulting from Investment Operations (in dollars per share)</link:label>
    <link:label id="lab_bxinfra_InvestmentOperations_label_en-US" xlink:label="lab_bxinfra_InvestmentOperations" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Operations</link:label>
    <link:label id="lab_bxinfra_InvestmentOperations_documentation_en-US" xlink:label="lab_bxinfra_InvestmentOperations" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment operations.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentOperations" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentOperations"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentOperations" xlink:to="lab_bxinfra_InvestmentOperations" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_OtherSignificantNoncashTransactionDistributionsPayable_019f1937-2165-70cd-80a7-5a951ce32d34_terseLabel_en-US" xlink:label="lab_bxinfra_OtherSignificantNoncashTransactionDistributionsPayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distribution Payable</link:label>
    <link:label id="lab_bxinfra_OtherSignificantNoncashTransactionDistributionsPayable_label_en-US" xlink:label="lab_bxinfra_OtherSignificantNoncashTransactionDistributionsPayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Significant Noncash Transaction, Distributions Payable</link:label>
    <link:label id="lab_bxinfra_OtherSignificantNoncashTransactionDistributionsPayable_documentation_en-US" xlink:label="lab_bxinfra_OtherSignificantNoncashTransactionDistributionsPayable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Other Significant Noncash Transaction, Distributions Payable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_OtherSignificantNoncashTransactionDistributionsPayable" xlink:href="bxinfra-20260930.xsd#bxinfra_OtherSignificantNoncashTransactionDistributionsPayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_OtherSignificantNoncashTransactionDistributionsPayable" xlink:to="lab_bxinfra_OtherSignificantNoncashTransactionDistributionsPayable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_Liabilities_019f1937-220f-7ef6-9c5b-81bbd1b1ed7d_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_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/2026/elts/us-gaap-2026.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_dei_TradingSymbol_019f1937-220f-7be9-ae39-1eb24dc95635_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:label id="lab_dei_TradingSymbol_label_en-US" xlink:label="lab_dei_TradingSymbol" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_us-gaap_PartnerTypeOfPartnersCapitalAccountAxis_019f1937-220f-7a97-8cdd-a48e4c3eeb16_terseLabel_en-US" xlink:label="lab_us-gaap_PartnerTypeOfPartnersCapitalAccountAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Partner Type [Axis]</link:label>
    <link:label id="lab_us-gaap_PartnerTypeOfPartnersCapitalAccountAxis_label_en-US" xlink:label="lab_us-gaap_PartnerTypeOfPartnersCapitalAccountAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Partner Type [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PartnerTypeOfPartnersCapitalAccountAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PartnerTypeOfPartnersCapitalAccountAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PartnerTypeOfPartnersCapitalAccountAxis" xlink:to="lab_us-gaap_PartnerTypeOfPartnersCapitalAccountAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MeasurementInputDiscountRateMember_019f1937-2210-7ddf-9490-4890d1c0ad6e_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">Measurement Input, Discount Rate</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/2026/elts/us-gaap-2026.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_srt_SegmentGeographicalDomain_019f1937-2166-7afe-8e48-eebb65952176_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/2026/elts/srt-2026.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_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeOne_019f1937-2165-7808-93fe-88f779abe92a_terseLabel_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeOne" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Minimum utilization percentage one</link:label>
    <link:label id="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeOne_label_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeOne" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line Of Credit Facility, Minimum Utilization, Percentage, Range One</link:label>
    <link:label id="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeOne_documentation_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeOne" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Line Of Credit Facility, Minimum Utilization, Percentage, Range One</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeOne" xlink:href="bxinfra-20260930.xsd#bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeOne"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeOne" xlink:to="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeOne" 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/2026/ecd-2026.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_PnsnAdjsPrrSvcCstMember_terseLabel_en-US" xlink:label="lab_ecd_PnsnAdjsPrrSvcCstMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Pension Adjustments Prior Service Cost</link:label>
    <link:label id="lab_ecd_PnsnAdjsPrrSvcCstMember_label_en-US" xlink:label="lab_ecd_PnsnAdjsPrrSvcCstMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Pension Adjustments Prior Service Cost [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_PnsnAdjsPrrSvcCstMember" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_PnsnAdjsPrrSvcCstMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_PnsnAdjsPrrSvcCstMember" xlink:to="lab_ecd_PnsnAdjsPrrSvcCstMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_DeferredFinancingCostAmortization_019f1937-220f-7358-8ff2-a6771a191905_terseLabel_en-US" xlink:label="lab_bxinfra_DeferredFinancingCostAmortization" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deferred Financing Cost Amortization</link:label>
    <link:label id="lab_bxinfra_DeferredFinancingCostAmortization_label_en-US" xlink:label="lab_bxinfra_DeferredFinancingCostAmortization" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Financing Cost Amortization</link:label>
    <link:label id="lab_bxinfra_DeferredFinancingCostAmortization_documentation_en-US" xlink:label="lab_bxinfra_DeferredFinancingCostAmortization" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Deferred financing cost amortization.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DeferredFinancingCostAmortization" xlink:href="bxinfra-20260930.xsd#bxinfra_DeferredFinancingCostAmortization"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DeferredFinancingCostAmortization" xlink:to="lab_bxinfra_DeferredFinancingCostAmortization" 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/2026/ecd-2026.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_bxinfra_MeasurementAxis_019f1937-2165-7923-bbf6-7c6712a6046f_terseLabel_en-US" xlink:label="lab_bxinfra_MeasurementAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Measurement [Axis]</link:label>
    <link:label id="lab_bxinfra_MeasurementAxis_label_en-US" xlink:label="lab_bxinfra_MeasurementAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement [Axis]</link:label>
    <link:label id="lab_bxinfra_MeasurementAxis_documentation_en-US" xlink:label="lab_bxinfra_MeasurementAxis" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_MeasurementAxis" xlink:href="bxinfra-20260930.xsd#bxinfra_MeasurementAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_MeasurementAxis" xlink:to="lab_bxinfra_MeasurementAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_LimitedPartnersCapitalAccountRollForward_019f1937-2165-7c5d-8214-483ed802dbec_terseLabel_en-US" xlink:label="lab_bxinfra_LimitedPartnersCapitalAccountRollForward" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Limited Partners' Capital Account [Roll Forward]</link:label>
    <link:label id="lab_bxinfra_LimitedPartnersCapitalAccountRollForward_label_en-US" xlink:label="lab_bxinfra_LimitedPartnersCapitalAccountRollForward" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Limited Partners' Capital Account [Roll Forward]</link:label>
    <link:label id="lab_bxinfra_LimitedPartnersCapitalAccountRollForward_documentation_en-US" xlink:label="lab_bxinfra_LimitedPartnersCapitalAccountRollForward" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Limited Partners' Capital Account</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_LimitedPartnersCapitalAccountRollForward" xlink:href="bxinfra-20260930.xsd#bxinfra_LimitedPartnersCapitalAccountRollForward"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_LimitedPartnersCapitalAccountRollForward" xlink:to="lab_bxinfra_LimitedPartnersCapitalAccountRollForward" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfInvestmentsTable_019f1937-220f-73d5-87f5-abf99adc3d0c_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/2026/elts/us-gaap-2026.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_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/2026/elts/us-gaap-2026.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_bxinfra_DerivativeLiabilityNetAssetPercentage_01a1c123-b0ff-72d0-b49d-865e0e23c7f8_terseLabel_en-US" xlink:label="lab_bxinfra_DerivativeLiabilityNetAssetPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Liability, Fair Value as a Percentage of Net Assets</link:label>
    <link:label id="lab_bxinfra_DerivativeLiabilityNetAssetPercentage_label_en-US" xlink:label="lab_bxinfra_DerivativeLiabilityNetAssetPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Liability, Net Asset, Percentage</link:label>
    <link:label id="lab_bxinfra_DerivativeLiabilityNetAssetPercentage_documentation_en-US" xlink:label="lab_bxinfra_DerivativeLiabilityNetAssetPercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Derivative Liability, Net Asset, Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DerivativeLiabilityNetAssetPercentage" xlink:href="bxinfra-20260930.xsd#bxinfra_DerivativeLiabilityNetAssetPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeLiabilityNetAssetPercentage" xlink:to="lab_bxinfra_DerivativeLiabilityNetAssetPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ScheduleOfRecognizedLiabilitiesForRepurchaseAgreementsTableTextBlock_019f1937-220f-7a38-bb8f-7a31fdffe478_terseLabel_en-US" xlink:label="lab_bxinfra_ScheduleOfRecognizedLiabilitiesForRepurchaseAgreementsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Recognized Liabilities for Repurchase Agreements</link:label>
    <link:label id="lab_bxinfra_ScheduleOfRecognizedLiabilitiesForRepurchaseAgreementsTableTextBlock_label_en-US" xlink:label="lab_bxinfra_ScheduleOfRecognizedLiabilitiesForRepurchaseAgreementsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule Of Recognized Liabilities For Repurchase Agreements [Table Text Block]</link:label>
    <link:label id="lab_bxinfra_ScheduleOfRecognizedLiabilitiesForRepurchaseAgreementsTableTextBlock_documentation_en-US" xlink:label="lab_bxinfra_ScheduleOfRecognizedLiabilitiesForRepurchaseAgreementsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule of recognized liabilities for repurchase agreements.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ScheduleOfRecognizedLiabilitiesForRepurchaseAgreementsTableTextBlock" xlink:href="bxinfra-20260930.xsd#bxinfra_ScheduleOfRecognizedLiabilitiesForRepurchaseAgreementsTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ScheduleOfRecognizedLiabilitiesForRepurchaseAgreementsTableTextBlock" xlink:to="lab_bxinfra_ScheduleOfRecognizedLiabilitiesForRepurchaseAgreementsTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_WarehousingAgreementTable_019f1937-220f-78f8-8985-e3072196c7af_terseLabel_en-US" xlink:label="lab_bxinfra_WarehousingAgreementTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Warehousing Agreement [Table]</link:label>
    <link:label id="lab_bxinfra_WarehousingAgreementTable_label_en-US" xlink:label="lab_bxinfra_WarehousingAgreementTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Warehousing Agreement [Table]</link:label>
    <link:label id="lab_bxinfra_WarehousingAgreementTable_documentation_en-US" xlink:label="lab_bxinfra_WarehousingAgreementTable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Warehousing agreement.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_WarehousingAgreementTable" xlink:href="bxinfra-20260930.xsd#bxinfra_WarehousingAgreementTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_WarehousingAgreementTable" xlink:to="lab_bxinfra_WarehousingAgreementTable" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_TotalInvestmentsInvestmentsInAffiliatedInvesteeFundsCashAndCashEquivalentsAndDerivativeInstrumentsMember_019f1937-2165-7e5e-b816-fc635d680b33_terseLabel_en-US" xlink:label="lab_bxinfra_TotalInvestmentsInvestmentsInAffiliatedInvesteeFundsCashAndCashEquivalentsAndDerivativeInstrumentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total Investments, Investments in Affiliated Investee Funds, Cash and Cash Equivalents and Derivative Instruments</link:label>
    <link:label id="lab_bxinfra_TotalInvestmentsInvestmentsInAffiliatedInvesteeFundsCashAndCashEquivalentsAndDerivativeInstrumentsMember_label_en-US" xlink:label="lab_bxinfra_TotalInvestmentsInvestmentsInAffiliatedInvesteeFundsCashAndCashEquivalentsAndDerivativeInstrumentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Total Investments, Investments in Affiliated Investee Funds, Cash and Cash Equivalents and Derivative Instruments [Member]</link:label>
    <link:label id="lab_bxinfra_TotalInvestmentsInvestmentsInAffiliatedInvesteeFundsCashAndCashEquivalentsAndDerivativeInstrumentsMember_documentation_en-US" xlink:label="lab_bxinfra_TotalInvestmentsInvestmentsInAffiliatedInvesteeFundsCashAndCashEquivalentsAndDerivativeInstrumentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Total Investments, Investments in Affiliated Investee Funds, Cash and Cash Equivalents and Derivative Instruments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_TotalInvestmentsInvestmentsInAffiliatedInvesteeFundsCashAndCashEquivalentsAndDerivativeInstrumentsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_TotalInvestmentsInvestmentsInAffiliatedInvesteeFundsCashAndCashEquivalentsAndDerivativeInstrumentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_TotalInvestmentsInvestmentsInAffiliatedInvesteeFundsCashAndCashEquivalentsAndDerivativeInstrumentsMember" xlink:to="lab_bxinfra_TotalInvestmentsInvestmentsInAffiliatedInvesteeFundsCashAndCashEquivalentsAndDerivativeInstrumentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_UnrealizedGainLossOnDerivatives_019f1937-2165-76b3-972a-6537f2251db5_terseLabel_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossOnDerivatives" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Change in Unrealized Gain (Loss) on Derivative Instruments</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/2026/elts/us-gaap-2026.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_us-gaap_InvestmentCompanyFinancialRatiosAbstract_019f1937-220f-7491-add8-d23903fb0c32_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialRatiosAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Ratios to Weighted-Average Net Assets (Non-Annualized)</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyFinancialRatiosAbstract_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialRatiosAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Financial Ratios [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyFinancialRatiosAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyFinancialRatiosAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyFinancialRatiosAbstract" xlink:to="lab_us-gaap_InvestmentCompanyFinancialRatiosAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ValuationTechniqueYieldAnalysisMember_019f1937-2210-76b9-8346-a797e0851255_terseLabel_en-US" xlink:label="lab_bxinfra_ValuationTechniqueYieldAnalysisMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Yield Analysis</link:label>
    <link:label id="lab_bxinfra_ValuationTechniqueYieldAnalysisMember_label_en-US" xlink:label="lab_bxinfra_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_bxinfra_ValuationTechniqueYieldAnalysisMember_documentation_en-US" xlink:label="lab_bxinfra_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_bxinfra_ValuationTechniqueYieldAnalysisMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ValuationTechniqueYieldAnalysisMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ValuationTechniqueYieldAnalysisMember" xlink:to="lab_bxinfra_ValuationTechniqueYieldAnalysisMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_AccountingPoliciesTable_019f1937-220f-7dbc-9f73-10696e28ecf6_terseLabel_en-US" xlink:label="lab_bxinfra_AccountingPoliciesTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accounting Policies [Table]</link:label>
    <link:label id="lab_bxinfra_AccountingPoliciesTable_label_en-US" xlink:label="lab_bxinfra_AccountingPoliciesTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Accounting Policies [Table]</link:label>
    <link:label id="lab_bxinfra_AccountingPoliciesTable_documentation_en-US" xlink:label="lab_bxinfra_AccountingPoliciesTable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Accounting Policies [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_AccountingPoliciesTable" xlink:href="bxinfra-20260930.xsd#bxinfra_AccountingPoliciesTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AccountingPoliciesTable" xlink:to="lab_bxinfra_AccountingPoliciesTable" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_PercentageOfHoldingInvestmentOfAggregator_019f1937-220f-7d94-bfad-50407da9e318_terseLabel_en-US" xlink:label="lab_bxinfra_PercentageOfHoldingInvestmentOfAggregator" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage of holding investment of the aggregator</link:label>
    <link:label id="lab_bxinfra_PercentageOfHoldingInvestmentOfAggregator_label_en-US" xlink:label="lab_bxinfra_PercentageOfHoldingInvestmentOfAggregator" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Percentage of Holding Investment of Aggregator</link:label>
    <link:label id="lab_bxinfra_PercentageOfHoldingInvestmentOfAggregator_documentation_en-US" xlink:label="lab_bxinfra_PercentageOfHoldingInvestmentOfAggregator" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Percentage of holding investment of the aggregator.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_PercentageOfHoldingInvestmentOfAggregator" xlink:href="bxinfra-20260930.xsd#bxinfra_PercentageOfHoldingInvestmentOfAggregator"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PercentageOfHoldingInvestmentOfAggregator" xlink:to="lab_bxinfra_PercentageOfHoldingInvestmentOfAggregator" 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/2026/elts/us-gaap-2026.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_NetCashProvidedByUsedInOperatingActivitiesAbstract_019f1937-2165-7f9a-bac4-7d95129e5320_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">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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.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_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/2026/ecd-2026.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_dei_EntityEmergingGrowthCompany_019f1937-220f-7483-ab5f-967ccf57f261_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:label id="lab_dei_EntityEmergingGrowthCompany_label_en-US" xlink:label="lab_dei_EntityEmergingGrowthCompany" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_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/2026/ecd-2026.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_us-gaap_RelatedPartyTransactionLineItems_019f1937-2165-7d14-8b23-633765f045f9_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/2026/elts/us-gaap-2026.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_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersOutOfLevel3_019f1937-2165-772b-8bbf-cfbac174a27f_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersOutOfLevel3" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transfers Out of Level III</link:label>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersOutOfLevel3_label_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersOutOfLevel3" 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 out of Level 3</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersOutOfLevel3" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersOutOfLevel3"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersOutOfLevel3" xlink:to="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersOutOfLevel3" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LineOfCreditFacilityTable_019f1937-220f-7494-98e9-2db3c03f8453_terseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Line of Credit Facility [Table]</link:label>
    <link:label id="lab_us-gaap_LineOfCreditFacilityTable_label_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line of Credit Facility [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityTable" xlink:to="lab_us-gaap_LineOfCreditFacilityTable" 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/2026/ecd-2026.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_ProceedsFromLinesOfCredit_019f1937-2166-7c26-bfe5-5f6cbc42620b_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromLinesOfCredit" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Proceeds from Borrowings</link:label>
    <link:label id="lab_us-gaap_ProceedsFromLinesOfCredit_label_en-US" xlink:label="lab_us-gaap_ProceedsFromLinesOfCredit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds from Lines of Credit</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromLinesOfCredit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProceedsFromLinesOfCredit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromLinesOfCredit" xlink:to="lab_us-gaap_ProceedsFromLinesOfCredit" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock_019f1937-220f-70be-bfc3-4df4252bdde3_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/2026/elts/us-gaap-2026.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_MoneyMarketFundsAtCarryingValue_01a1c2b3-d80c-7fb2-a1bb-5648ccf82e25_terseLabel_en-US" xlink:label="lab_us-gaap_MoneyMarketFundsAtCarryingValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Money Market Fund, cost</link:label>
    <link:label id="lab_us-gaap_MoneyMarketFundsAtCarryingValue_label_en-US" xlink:label="lab_us-gaap_MoneyMarketFundsAtCarryingValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash Equivalent, Money Market Fund, Carrying Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MoneyMarketFundsAtCarryingValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MoneyMarketFundsAtCarryingValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MoneyMarketFundsAtCarryingValue" xlink:to="lab_us-gaap_MoneyMarketFundsAtCarryingValue" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeFairValueOfDerivativeLiability_019f1937-2165-7f65-8deb-590bb25bc19d_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeFairValueOfDerivativeLiability" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Liabilities, Fair Value</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/2026/elts/us-gaap-2026.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_us-gaap_FinancialSupportToNonconsolidatedLegalEntityAxis_019f1937-2165-7ba7-8dd4-b2ee123ae5f9_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/2026/elts/us-gaap-2026.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_bxinfra_OrganizationCostsPayable_019f1937-220f-7fc0-a360-50dbfc179cdf_terseLabel_en-US" xlink:label="lab_bxinfra_OrganizationCostsPayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Organization Costs Payable</link:label>
    <link:label id="lab_bxinfra_OrganizationCostsPayable_label_en-US" xlink:label="lab_bxinfra_OrganizationCostsPayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Organization Costs Payable</link:label>
    <link:label id="lab_bxinfra_OrganizationCostsPayable_documentation_en-US" xlink:label="lab_bxinfra_OrganizationCostsPayable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Organization costs payable.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_OrganizationCostsPayable" xlink:href="bxinfra-20260930.xsd#bxinfra_OrganizationCostsPayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_OrganizationCostsPayable" xlink:to="lab_bxinfra_OrganizationCostsPayable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyFinancialHighlightsAbstract_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialHighlightsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Financial Highlights [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyFinancialHighlightsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyFinancialHighlightsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyFinancialHighlightsAbstract" xlink:to="lab_us-gaap_InvestmentCompanyFinancialHighlightsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock_019f1937-220f-7e39-b5cb-6fe5667e5fff_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 Fair Value of Investments for Level III Inputs</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/2026/elts/us-gaap-2026.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_DeferredChargesPolicyTextBlock_019f1937-220f-7612-ab87-bfc34427356d_terseLabel_en-US" xlink:label="lab_us-gaap_DeferredChargesPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deferred Taxes</link:label>
    <link:label id="lab_us-gaap_DeferredChargesPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_DeferredChargesPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Charges, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredChargesPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredChargesPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredChargesPolicyTextBlock" xlink:to="lab_us-gaap_DeferredChargesPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherReceivables_019f1937-2165-7eba-81cb-d8e8fe491179_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">Due from Affiliates</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/2026/elts/us-gaap-2026.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_us-gaap_DividendsReceivable_019f1937-220f-707b-9291-f993c1e6c779_verboseLabel_en-US" xlink:label="lab_us-gaap_DividendsReceivable" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Dividend Receivable</link:label>
    <link:label id="lab_us-gaap_DividendsReceivable_019f1937-220f-7433-ba78-eda054d97746_terseLabel_en-US" xlink:label="lab_us-gaap_DividendsReceivable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dividend Receivable</link:label>
    <link:label id="lab_us-gaap_DividendsReceivable_label_en-US" xlink:label="lab_us-gaap_DividendsReceivable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividends Receivable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DividendsReceivable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DividendsReceivable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendsReceivable" xlink:to="lab_us-gaap_DividendsReceivable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DistributionMadeToLimitedPartnerCashDistributionsPaid_019f1937-220f-7dd7-8aa1-08e46c970779_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_DistributionMadeToLimitedPartnerCashDistributionsPaid" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Distributions Paid in Cash</link:label>
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    <link:label id="lab_us-gaap_DistributionMadeToLimitedPartnerCashDistributionsPaid_label_en-US" xlink:label="lab_us-gaap_DistributionMadeToLimitedPartnerCashDistributionsPaid" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Distribution Made to Limited Partner, Cash Distributions Paid</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DistributionMadeToLimitedPartnerCashDistributionsPaid" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DistributionMadeToLimitedPartnerCashDistributionsPaid"/>
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    <link:label id="lab_us-gaap_InvestmentCompanyFinancialHighlightsRollForward_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialHighlightsRollForward" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Financial Highlights [Roll Forward]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyFinancialHighlightsRollForward" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyFinancialHighlightsRollForward"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyFinancialHighlightsRollForward" xlink:to="lab_us-gaap_InvestmentCompanyFinancialHighlightsRollForward" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_MeasurementInputExitMultipleMember_019f1937-220f-7b41-b2b0-302e6a6c268c_terseLabel_en-US" xlink:label="lab_bxinfra_MeasurementInputExitMultipleMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Exit Multiple</link:label>
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    <link:label id="lab_bxinfra_MeasurementInputExitMultipleMember_documentation_en-US" xlink:label="lab_bxinfra_MeasurementInputExitMultipleMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement Input Exit Multiple [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_MeasurementInputExitMultipleMember" xlink:href="bxinfra-20260930.xsd#bxinfra_MeasurementInputExitMultipleMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_MeasurementInputExitMultipleMember" xlink:to="lab_bxinfra_MeasurementInputExitMultipleMember" 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/2026/ecd-2026.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_bxinfra_WarehousingAgreementLineItems_019f1937-220f-7cf4-a5cb-538a67dba1e1_terseLabel_en-US" xlink:label="lab_bxinfra_WarehousingAgreementLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Warehousing Agreement [Line Items]</link:label>
    <link:label id="lab_bxinfra_WarehousingAgreementLineItems_label_en-US" xlink:label="lab_bxinfra_WarehousingAgreementLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Warehousing Agreement [Line Items]</link:label>
    <link:label id="lab_bxinfra_WarehousingAgreementLineItems_documentation_en-US" xlink:label="lab_bxinfra_WarehousingAgreementLineItems" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Warehousing agreement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_WarehousingAgreementLineItems" xlink:href="bxinfra-20260930.xsd#bxinfra_WarehousingAgreementLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_WarehousingAgreementLineItems" xlink:to="lab_bxinfra_WarehousingAgreementLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_DerivativeFairValueNetAssetPercentage_01a1c153-de65-7e2d-a7dc-152a0dac57b4_totalLabel_en-US" xlink:label="lab_bxinfra_DerivativeFairValueNetAssetPercentage" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Derivative, Fair Value as a Percentage of Net Assets</link:label>
    <link:label id="lab_bxinfra_DerivativeFairValueNetAssetPercentage_label_en-US" xlink:label="lab_bxinfra_DerivativeFairValueNetAssetPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative, Fair Value, Net Asset, Percentage</link:label>
    <link:label id="lab_bxinfra_DerivativeFairValueNetAssetPercentage_documentation_en-US" xlink:label="lab_bxinfra_DerivativeFairValueNetAssetPercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Derivative, Fair Value, Net Asset, Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DerivativeFairValueNetAssetPercentage" xlink:href="bxinfra-20260930.xsd#bxinfra_DerivativeFairValueNetAssetPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeFairValueNetAssetPercentage" xlink:to="lab_bxinfra_DerivativeFairValueNetAssetPercentage" 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/2026/ecd-2026.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_FairValueInputsLevel1Member_019f1937-2165-7e0a-b139-b35f898e6622_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 I</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/2026/elts/us-gaap-2026.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_StockRedeemedOrCalledDuringPeriodShares_019f1937-220f-7841-9057-2b48d4c9f2ca_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">Redemption of units (in shares)</link:label>
    <link:label id="lab_us-gaap_StockRedeemedOrCalledDuringPeriodShares_019f1937-220f-73dd-b047-81fce32b3837_negatedLabel_en-US" xlink:label="lab_us-gaap_StockRedeemedOrCalledDuringPeriodShares" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Redemption of units (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/2026/elts/us-gaap-2026.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_us-gaap_InvestmentCompanyNetAssetsRollForward_019f1937-2165-7311-9dec-1cd83b18c098_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/2026/elts/us-gaap-2026.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_bxinfra_DisclosureOfRepurchaseAgreementsLineItems_019f1937-220f-74d8-9db5-47b295add97a_terseLabel_en-US" xlink:label="lab_bxinfra_DisclosureOfRepurchaseAgreementsLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of Repurchase Agreements [Line Items]</link:label>
    <link:label id="lab_bxinfra_DisclosureOfRepurchaseAgreementsLineItems_label_en-US" xlink:label="lab_bxinfra_DisclosureOfRepurchaseAgreementsLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of Repurchase Agreements [Line Items]</link:label>
    <link:label id="lab_bxinfra_DisclosureOfRepurchaseAgreementsLineItems_documentation_en-US" xlink:label="lab_bxinfra_DisclosureOfRepurchaseAgreementsLineItems" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disclosure of repurchase agreements.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DisclosureOfRepurchaseAgreementsLineItems" xlink:href="bxinfra-20260930.xsd#bxinfra_DisclosureOfRepurchaseAgreementsLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DisclosureOfRepurchaseAgreementsLineItems" xlink:to="lab_bxinfra_DisclosureOfRepurchaseAgreementsLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_PerformanceParticipationAllocationReceivedMember_019f1937-220f-704f-8a2f-095605564d52_terseLabel_en-US" xlink:label="lab_bxinfra_PerformanceParticipationAllocationReceivedMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Performance Participation Allocation Received</link:label>
    <link:label id="lab_bxinfra_PerformanceParticipationAllocationReceivedMember_label_en-US" xlink:label="lab_bxinfra_PerformanceParticipationAllocationReceivedMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Performance Participation Allocation Received [Member]</link:label>
    <link:label id="lab_bxinfra_PerformanceParticipationAllocationReceivedMember_documentation_en-US" xlink:label="lab_bxinfra_PerformanceParticipationAllocationReceivedMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Performance Participation Allocation Received</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_PerformanceParticipationAllocationReceivedMember" xlink:href="bxinfra-20260930.xsd#bxinfra_PerformanceParticipationAllocationReceivedMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PerformanceParticipationAllocationReceivedMember" xlink:to="lab_bxinfra_PerformanceParticipationAllocationReceivedMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueOfFinancialInstrumentsPolicy_019f1937-220f-79be-ba0e-b6275548f3d3_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">Fair Value of Investments and Financial Instruments And Valuation of 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/2026/elts/us-gaap-2026.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_bxinfra_PaymentForServicingFees_019f1937-2165-7e50-816b-932378500521_negatedTerseLabel_en-US" xlink:label="lab_bxinfra_PaymentForServicingFees" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Payments for Servicing Fees</link:label>
    <link:label id="lab_bxinfra_PaymentForServicingFees_019f1937-2165-75a0-a640-a692f85cb383_negatedLabel_en-US" xlink:label="lab_bxinfra_PaymentForServicingFees" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Payments for Servicing Fees</link:label>
    <link:label id="lab_bxinfra_PaymentForServicingFees_019f1937-2165-78fa-9fc5-64b254e90f0e_terseLabel_en-US" xlink:label="lab_bxinfra_PaymentForServicingFees" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Payment for servicing fees</link:label>
    <link:label id="lab_bxinfra_PaymentForServicingFees_label_en-US" xlink:label="lab_bxinfra_PaymentForServicingFees" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payment for Servicing Fees</link:label>
    <link:label id="lab_bxinfra_PaymentForServicingFees_documentation_en-US" xlink:label="lab_bxinfra_PaymentForServicingFees" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Payment for servicing fees.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_PaymentForServicingFees" xlink:href="bxinfra-20260930.xsd#bxinfra_PaymentForServicingFees"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PaymentForServicingFees" xlink:to="lab_bxinfra_PaymentForServicingFees" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyFinancialHighlightsLineItems_019f1937-2166-7a42-b385-347b663c9066_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialHighlightsLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Company, Financial Highlights [Line Items]</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyFinancialHighlightsLineItems_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialHighlightsLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Financial Highlights [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyFinancialHighlightsLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyFinancialHighlightsLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyFinancialHighlightsLineItems" xlink:to="lab_us-gaap_InvestmentCompanyFinancialHighlightsLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio_019f1937-2165-782f-908c-64895b93a1f5_verboseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Net Investment Income (Loss)</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/2026/elts/us-gaap-2026.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_InvestmentAffiliatedIssuerMember_019f1937-2210-7a5b-812d-27a8d997e59a_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentAffiliatedIssuerMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment, Affiliated Issuer</link:label>
    <link:label id="lab_us-gaap_InvestmentAffiliatedIssuerMember_label_en-US" xlink:label="lab_us-gaap_InvestmentAffiliatedIssuerMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Affiliated Issuer [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentAffiliatedIssuerMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentAffiliatedIssuerMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentAffiliatedIssuerMember" xlink:to="lab_us-gaap_InvestmentAffiliatedIssuerMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SummaryOfInvestmentHoldingsLineItems_019f1937-2165-7627-8969-124dbdefa930_terseLabel_en-US" xlink:label="lab_us-gaap_SummaryOfInvestmentHoldingsLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Summary of Investment Holdings [Line Items]</link:label>
    <link:label id="lab_us-gaap_SummaryOfInvestmentHoldingsLineItems_label_en-US" xlink:label="lab_us-gaap_SummaryOfInvestmentHoldingsLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Summary of Investment Holdings [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SummaryOfInvestmentHoldingsLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SummaryOfInvestmentHoldingsLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SummaryOfInvestmentHoldingsLineItems" xlink:to="lab_us-gaap_SummaryOfInvestmentHoldingsLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_InvestmentsAtFairValueAndInvestmentsInAffiliatedOrUnaffiliatedInvesteeFundsPolicyTextBlock_019f1937-220f-788e-878d-2613352c9e22_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentsAtFairValueAndInvestmentsInAffiliatedOrUnaffiliatedInvesteeFundsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments at Fair Value and Investments in Affiliated or Unaffiliated Investee Funds</link:label>
    <link:label id="lab_bxinfra_InvestmentsAtFairValueAndInvestmentsInAffiliatedOrUnaffiliatedInvesteeFundsPolicyTextBlock_label_en-US" xlink:label="lab_bxinfra_InvestmentsAtFairValueAndInvestmentsInAffiliatedOrUnaffiliatedInvesteeFundsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investments at Fair Value and Investments in Affiliated or Unaffiliated Investee Funds [Policy Text Block]</link:label>
    <link:label id="lab_bxinfra_InvestmentsAtFairValueAndInvestmentsInAffiliatedOrUnaffiliatedInvesteeFundsPolicyTextBlock_documentation_en-US" xlink:label="lab_bxinfra_InvestmentsAtFairValueAndInvestmentsInAffiliatedOrUnaffiliatedInvesteeFundsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Fair value of financial instruments in affiliated or unaffiliated investee funds.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentsAtFairValueAndInvestmentsInAffiliatedOrUnaffiliatedInvesteeFundsPolicyTextBlock" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentsAtFairValueAndInvestmentsInAffiliatedOrUnaffiliatedInvesteeFundsPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentsAtFairValueAndInvestmentsInAffiliatedOrUnaffiliatedInvesteeFundsPolicyTextBlock" xlink:to="lab_bxinfra_InvestmentsAtFairValueAndInvestmentsInAffiliatedOrUnaffiliatedInvesteeFundsPolicyTextBlock" 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/2026/ecd-2026.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_bxinfra_DebtInvestmentsLiquidMember_019f1937-2165-77f0-8171-b49af1976db4_terseLabel_en-US" xlink:label="lab_bxinfra_DebtInvestmentsLiquidMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Investments - Liquid</link:label>
    <link:label id="lab_bxinfra_DebtInvestmentsLiquidMember_label_en-US" xlink:label="lab_bxinfra_DebtInvestmentsLiquidMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Investments - Liquid [Member]</link:label>
    <link:label id="lab_bxinfra_DebtInvestmentsLiquidMember_documentation_en-US" xlink:label="lab_bxinfra_DebtInvestmentsLiquidMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Investments - Liquid</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DebtInvestmentsLiquidMember" xlink:href="bxinfra-20260930.xsd#bxinfra_DebtInvestmentsLiquidMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DebtInvestmentsLiquidMember" xlink:to="lab_bxinfra_DebtInvestmentsLiquidMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ValuationTechniqueDomain_019f1937-2210-7c6a-987c-21b555a0aacf_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/2026/elts/us-gaap-2026.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_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis_019f1937-220f-76c4-8f12-f49abc100cb7_terseLabel_en-US" xlink:label="lab_us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Class of Financing Receivable [Axis]</link:label>
    <link:label id="lab_us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis_label_en-US" xlink:label="lab_us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class of Financing Receivable [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:to="lab_us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" 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/2026/ecd-2026.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_RepaymentsOfLongTermLinesOfCredit_01a1a3eb-51cf-7f16-8a64-fa98918c6c6b_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_RepaymentsOfLongTermLinesOfCredit" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Repayment of Line of Credit</link:label>
    <link:label id="lab_us-gaap_RepaymentsOfLongTermLinesOfCredit_label_en-US" xlink:label="lab_us-gaap_RepaymentsOfLongTermLinesOfCredit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Repayments of Long-Term Lines of Credit</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RepaymentsOfLongTermLinesOfCredit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RepaymentsOfLongTermLinesOfCredit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RepaymentsOfLongTermLinesOfCredit" xlink:to="lab_us-gaap_RepaymentsOfLongTermLinesOfCredit" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyExpenseAfterReductionOfFeeWaiverAndReimbursement_019f1937-2165-7929-9787-edf19864fcb0_totalLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyExpenseAfterReductionOfFeeWaiverAndReimbursement" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net Expenses</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyExpenseAfterReductionOfFeeWaiverAndReimbursement_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyExpenseAfterReductionOfFeeWaiverAndReimbursement" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Expense, after Reduction of Fee Waiver and Reimbursement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyExpenseAfterReductionOfFeeWaiverAndReimbursement" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyExpenseAfterReductionOfFeeWaiverAndReimbursement"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyExpenseAfterReductionOfFeeWaiverAndReimbursement" xlink:to="lab_us-gaap_InvestmentCompanyExpenseAfterReductionOfFeeWaiverAndReimbursement" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_PerformanceParticipationAllocationAdministrationFeeAndManagementFeePayablesPolicyTextBlock_019f1937-2165-7463-adf2-0f8aa868df43_terseLabel_en-US" xlink:label="lab_bxinfra_PerformanceParticipationAllocationAdministrationFeeAndManagementFeePayablesPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Performance Participation Allocation, Administration Fee and Management Fee Payables</link:label>
    <link:label id="lab_bxinfra_PerformanceParticipationAllocationAdministrationFeeAndManagementFeePayablesPolicyTextBlock_label_en-US" xlink:label="lab_bxinfra_PerformanceParticipationAllocationAdministrationFeeAndManagementFeePayablesPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Performance Participation Allocation Administration Fee and Management Fee Payables [Policy Text Block]</link:label>
    <link:label id="lab_bxinfra_PerformanceParticipationAllocationAdministrationFeeAndManagementFeePayablesPolicyTextBlock_documentation_en-US" xlink:label="lab_bxinfra_PerformanceParticipationAllocationAdministrationFeeAndManagementFeePayablesPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disclosure of accounting policy for the recognition of fees for investment advise, research, administrative and investment account management services provided to customers by broker dealers. This fee is generally based on the net assets of the fund or the account.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_PerformanceParticipationAllocationAdministrationFeeAndManagementFeePayablesPolicyTextBlock" xlink:href="bxinfra-20260930.xsd#bxinfra_PerformanceParticipationAllocationAdministrationFeeAndManagementFeePayablesPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PerformanceParticipationAllocationAdministrationFeeAndManagementFeePayablesPolicyTextBlock" xlink:to="lab_bxinfra_PerformanceParticipationAllocationAdministrationFeeAndManagementFeePayablesPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ClassITEUnitsMember_019f1937-2210-70d8-b2d3-d660b49cb73d_terseLabel_en-US" xlink:label="lab_bxinfra_ClassITEUnitsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Class I-TE Units</link:label>
    <link:label id="lab_bxinfra_ClassITEUnitsMember_label_en-US" xlink:label="lab_bxinfra_ClassITEUnitsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class I-TE Units [Member]</link:label>
    <link:label id="lab_bxinfra_ClassITEUnitsMember_documentation_en-US" xlink:label="lab_bxinfra_ClassITEUnitsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Class I-TE Units</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ClassITEUnitsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ClassITEUnitsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ClassITEUnitsMember" xlink:to="lab_bxinfra_ClassITEUnitsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts_019f1937-2165-7d0c-b4ff-e8951282ac92_terseLabel_en-US" xlink:label="lab_us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Assets sold under agreements to repurchase, carrying amount</link:label>
    <link:label id="lab_us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts_label_en-US" xlink:label="lab_us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Assets Sold under Agreements to Repurchase, Carrying Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts" xlink:to="lab_us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PartnerTypeOfPartnersCapitalAccountNameDomain_019f1937-220f-74a1-b6e6-464dd2819080_terseLabel_en-US" xlink:label="lab_us-gaap_PartnerTypeOfPartnersCapitalAccountNameDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Partner Type of Partners' Capital Account, Name [Domain]</link:label>
    <link:label id="lab_us-gaap_PartnerTypeOfPartnersCapitalAccountNameDomain_label_en-US" xlink:label="lab_us-gaap_PartnerTypeOfPartnersCapitalAccountNameDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Partner Type of Partners' Capital Account, Name [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PartnerTypeOfPartnersCapitalAccountNameDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PartnerTypeOfPartnersCapitalAccountNameDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PartnerTypeOfPartnersCapitalAccountNameDomain" xlink:to="lab_us-gaap_PartnerTypeOfPartnersCapitalAccountNameDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DistributionMadeToLimitedPartnerLineItems_019f1937-2210-7c61-a56c-efa9e30b8e54_terseLabel_en-US" xlink:label="lab_us-gaap_DistributionMadeToLimitedPartnerLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distribution Made to Limited Partner [Line Items]</link:label>
    <link:label id="lab_us-gaap_DistributionMadeToLimitedPartnerLineItems_label_en-US" xlink:label="lab_us-gaap_DistributionMadeToLimitedPartnerLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Distribution Made to Limited Partner [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DistributionMadeToLimitedPartnerLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DistributionMadeToLimitedPartnerLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DistributionMadeToLimitedPartnerLineItems" xlink:to="lab_us-gaap_DistributionMadeToLimitedPartnerLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ClassITEACCUnitsMember_019f1937-220f-7df9-900b-08a16bca8a2c_terseLabel_en-US" xlink:label="lab_bxinfra_ClassITEACCUnitsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Class I- TE-ACC Units</link:label>
    <link:label id="lab_bxinfra_ClassITEACCUnitsMember_label_en-US" xlink:label="lab_bxinfra_ClassITEACCUnitsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class I-TE-ACC Units [Member]</link:label>
    <link:label id="lab_bxinfra_ClassITEACCUnitsMember_documentation_en-US" xlink:label="lab_bxinfra_ClassITEACCUnitsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Class I-TE-ACC Units</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ClassITEACCUnitsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ClassITEACCUnitsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ClassITEACCUnitsMember" xlink:to="lab_bxinfra_ClassITEACCUnitsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyExpenseRatioIncludingVoluntaryFeeWaiver_019f1937-220f-79aa-b105-425ce8573965_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyExpenseRatioIncludingVoluntaryFeeWaiver" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Warehousing Fees Waivers</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyExpenseRatioIncludingVoluntaryFeeWaiver_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyExpenseRatioIncludingVoluntaryFeeWaiver" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Expense Ratio, after Voluntary Fee Waiver Deduction</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyExpenseRatioIncludingVoluntaryFeeWaiver" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyExpenseRatioIncludingVoluntaryFeeWaiver"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyExpenseRatioIncludingVoluntaryFeeWaiver" xlink:to="lab_us-gaap_InvestmentCompanyExpenseRatioIncludingVoluntaryFeeWaiver" 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/2026/elts/us-gaap-2026.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_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/2026/elts/us-gaap-2026.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_us-gaap_DebtInstrumentNameDomain_019f1937-220f-702d-8f48-8f3c4092b57b_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/2026/elts/us-gaap-2026.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_srt_MinimumMember_019f1937-2165-7a86-a26e-5fea26888f9a_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/2026/elts/srt-2026.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_us-gaap_LineOfCredit_019f1937-220f-7c5b-a111-0c663653bbb5_terseLabel_en-US" xlink:label="lab_us-gaap_LineOfCredit" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Borrowings</link:label>
    <link:label id="lab_us-gaap_LineOfCredit_019f1937-220f-7d1f-880b-f1d0df74c023_verboseLabel_en-US" xlink:label="lab_us-gaap_LineOfCredit" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Outstanding amount</link:label>
    <link:label id="lab_us-gaap_LineOfCredit_label_en-US" xlink:label="lab_us-gaap_LineOfCredit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Long-Term Line of Credit</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCredit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCredit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCredit" xlink:to="lab_us-gaap_LineOfCredit" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentTypeAxis_019f1937-2165-7676-9b33-9444375e6c02_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/2026/elts/us-gaap-2026.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_bxinfra_InvestmentAmountSoldToByAgreement_019f1937-220f-7dcc-8d67-cc2527b5c9fe_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentAmountSoldToByAgreement" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment amount sold to by agreement</link:label>
    <link:label id="lab_bxinfra_InvestmentAmountSoldToByAgreement_label_en-US" xlink:label="lab_bxinfra_InvestmentAmountSoldToByAgreement" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Amount Sold To By Agreement</link:label>
    <link:label id="lab_bxinfra_InvestmentAmountSoldToByAgreement_documentation_en-US" xlink:label="lab_bxinfra_InvestmentAmountSoldToByAgreement" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment amount sold to by agreement.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentAmountSoldToByAgreement" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentAmountSoldToByAgreement"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentAmountSoldToByAgreement" xlink:to="lab_bxinfra_InvestmentAmountSoldToByAgreement" 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/2026/ecd-2026.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_InvestmentsFairValueDisclosure_019f1937-220f-7b7b-9e38-77177797b837_totalLabel_en-US" xlink:label="lab_us-gaap_InvestmentsFairValueDisclosure" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Investments</link:label>
    <link:label id="lab_us-gaap_InvestmentsFairValueDisclosure_label_en-US" xlink:label="lab_us-gaap_InvestmentsFairValueDisclosure" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investments, Fair Value Disclosure</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentsFairValueDisclosure" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentsFairValueDisclosure"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentsFairValueDisclosure" xlink:to="lab_us-gaap_InvestmentsFairValueDisclosure" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable_019f1937-2166-7c50-bae3-93e62fb124aa_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/2026/elts/us-gaap-2026.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_bxinfra_MeasurementInputWaccMember_019f1937-220f-72d9-a52f-2fb6723121b7_terseLabel_en-US" xlink:label="lab_bxinfra_MeasurementInputWaccMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">WACC</link:label>
    <link:label id="lab_bxinfra_MeasurementInputWaccMember_label_en-US" xlink:label="lab_bxinfra_MeasurementInputWaccMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input WACC [Member]</link:label>
    <link:label id="lab_bxinfra_MeasurementInputWaccMember_documentation_en-US" xlink:label="lab_bxinfra_MeasurementInputWaccMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement Input WACC [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_MeasurementInputWaccMember" xlink:href="bxinfra-20260930.xsd#bxinfra_MeasurementInputWaccMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_MeasurementInputWaccMember" xlink:to="lab_bxinfra_MeasurementInputWaccMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfUnderlyingAssetsOfRepurchaseAgreementsWhenAmountOfRepurchaseAgreementsExceeds10PercentOfAssetsTextBlock_019f1937-2165-7943-946f-ac829be309f6_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfUnderlyingAssetsOfRepurchaseAgreementsWhenAmountOfRepurchaseAgreementsExceeds10PercentOfAssetsTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Aggregator's Repurchase Agreement Obligations</link:label>
    <link:label id="lab_us-gaap_ScheduleOfUnderlyingAssetsOfRepurchaseAgreementsWhenAmountOfRepurchaseAgreementsExceeds10PercentOfAssetsTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfUnderlyingAssetsOfRepurchaseAgreementsWhenAmountOfRepurchaseAgreementsExceeds10PercentOfAssetsTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Underlying Assets of Repurchase Agreements when Amount of Repurchase Agreements Exceeds 10 Percent of Assets [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfUnderlyingAssetsOfRepurchaseAgreementsWhenAmountOfRepurchaseAgreementsExceeds10PercentOfAssetsTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfUnderlyingAssetsOfRepurchaseAgreementsWhenAmountOfRepurchaseAgreementsExceeds10PercentOfAssetsTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfUnderlyingAssetsOfRepurchaseAgreementsWhenAmountOfRepurchaseAgreementsExceeds10PercentOfAssetsTextBlock" xlink:to="lab_us-gaap_ScheduleOfUnderlyingAssetsOfRepurchaseAgreementsWhenAmountOfRepurchaseAgreementsExceeds10PercentOfAssetsTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_LineOfCreditFacilityAverageUtilizationFeePercentage_019f1937-220f-7ae4-9a4a-4b431117f574_terseLabel_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityAverageUtilizationFeePercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Average utilization fee</link:label>
    <link:label id="lab_bxinfra_LineOfCreditFacilityAverageUtilizationFeePercentage_label_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityAverageUtilizationFeePercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line Of Credit Facility, Average Utilization Fee, Percentage</link:label>
    <link:label id="lab_bxinfra_LineOfCreditFacilityAverageUtilizationFeePercentage_documentation_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityAverageUtilizationFeePercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Line Of Credit Facility, Average Utilization Fee, Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_LineOfCreditFacilityAverageUtilizationFeePercentage" xlink:href="bxinfra-20260930.xsd#bxinfra_LineOfCreditFacilityAverageUtilizationFeePercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_LineOfCreditFacilityAverageUtilizationFeePercentage" xlink:to="lab_bxinfra_LineOfCreditFacilityAverageUtilizationFeePercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ClassSTEUnitsMember_019f1937-2166-7bdc-a3a6-b436040a7e32_terseLabel_en-US" xlink:label="lab_bxinfra_ClassSTEUnitsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Class S-TE Units</link:label>
    <link:label id="lab_bxinfra_ClassSTEUnitsMember_label_en-US" xlink:label="lab_bxinfra_ClassSTEUnitsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class S-TE Units [Member]</link:label>
    <link:label id="lab_bxinfra_ClassSTEUnitsMember_documentation_en-US" xlink:label="lab_bxinfra_ClassSTEUnitsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Class S-TE Units</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ClassSTEUnitsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ClassSTEUnitsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ClassSTEUnitsMember" xlink:to="lab_bxinfra_ClassSTEUnitsMember" 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/2026/ecd-2026.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_CashAndCashEquivalentsFairValueDisclosure_019f1937-220f-7fb7-802d-e04ecdcf9519_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">Total Cash and Cash Equivalents</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/2026/elts/us-gaap-2026.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_srt_AmericasMember_019f1937-2165-72c0-93d9-1c1f256aa1f5_terseLabel_en-US" xlink:label="lab_srt_AmericasMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Americas</link:label>
    <link:label id="lab_srt_AmericasMember_label_en-US" xlink:label="lab_srt_AmericasMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Americas [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_AmericasMember" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_AmericasMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_AmericasMember" xlink:to="lab_srt_AmericasMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding_019f1937-2210-7843-a6a1-efedf7063c41_terseLabel_en-US" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Units outstanding (in shares)</link:label>
    <link:label id="lab_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding_019f1937-2210-7427-8452-eef4c14486e9_verboseLabel_en-US" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Units outstanding (in shares)</link:label>
    <link:label id="lab_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding_019f1937-2210-7334-a03b-d7572cc4f8ed_periodStartLabel_en-US" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Beginning units outstanding (in shares)</link:label>
    <link:label id="lab_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding_019f1937-2210-7801-9f3a-54f0c2676118_periodEndLabel_en-US" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Ending units outstanding (in shares)</link:label>
    <link:label id="lab_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding_label_en-US" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Limited Partners' Capital Account, Units Outstanding</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding" xlink:to="lab_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_DerivativeFairValueCost_01a1c2b5-fb1b-7d46-af85-51d7b94010be_terseLabel_en-US" xlink:label="lab_bxinfra_DerivativeFairValueCost" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total derivatives, cost</link:label>
    <link:label id="lab_bxinfra_DerivativeFairValueCost_label_en-US" xlink:label="lab_bxinfra_DerivativeFairValueCost" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative, Fair Value, Cost</link:label>
    <link:label id="lab_bxinfra_DerivativeFairValueCost_documentation_en-US" xlink:label="lab_bxinfra_DerivativeFairValueCost" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Derivative, Fair Value, Cost</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DerivativeFairValueCost" xlink:href="bxinfra-20260930.xsd#bxinfra_DerivativeFairValueCost"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeFairValueCost" xlink:to="lab_bxinfra_DerivativeFairValueCost" 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/2026/ecd-2026.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_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems_019f1937-220f-72d7-b57c-74c872ffc4d9_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/2026/elts/us-gaap-2026.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_bxinfra_DerivativeUnrealizedGainLossMember_019f1937-2165-78d6-acee-de6edf98d9ab_terseLabel_en-US" xlink:label="lab_bxinfra_DerivativeUnrealizedGainLossMember" 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_bxinfra_DerivativeUnrealizedGainLossMember_label_en-US" xlink:label="lab_bxinfra_DerivativeUnrealizedGainLossMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Unrealized Gain Loss [Member]</link:label>
    <link:label id="lab_bxinfra_DerivativeUnrealizedGainLossMember_documentation_en-US" xlink:label="lab_bxinfra_DerivativeUnrealizedGainLossMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Derivative Unrealized Gain Loss [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DerivativeUnrealizedGainLossMember" xlink:href="bxinfra-20260930.xsd#bxinfra_DerivativeUnrealizedGainLossMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeUnrealizedGainLossMember" xlink:to="lab_bxinfra_DerivativeUnrealizedGainLossMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_DebtInstrumentExtensionPeriod_019f1937-220f-7eea-932f-3493a0f15f51_terseLabel_en-US" xlink:label="lab_bxinfra_DebtInstrumentExtensionPeriod" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Extension option period</link:label>
    <link:label id="lab_bxinfra_DebtInstrumentExtensionPeriod_label_en-US" xlink:label="lab_bxinfra_DebtInstrumentExtensionPeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Extension Period</link:label>
    <link:label id="lab_bxinfra_DebtInstrumentExtensionPeriod_documentation_en-US" xlink:label="lab_bxinfra_DebtInstrumentExtensionPeriod" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Extension Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DebtInstrumentExtensionPeriod" xlink:href="bxinfra-20260930.xsd#bxinfra_DebtInstrumentExtensionPeriod"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DebtInstrumentExtensionPeriod" xlink:to="lab_bxinfra_DebtInstrumentExtensionPeriod" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_WarehousingAgreementAbstract_label_en-US" xlink:label="lab_bxinfra_WarehousingAgreementAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Warehousing Agreement [Abstract]</link:label>
    <link:label id="lab_bxinfra_WarehousingAgreementAbstract_documentation_en-US" xlink:label="lab_bxinfra_WarehousingAgreementAbstract" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Warehousing agreement.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_WarehousingAgreementAbstract" xlink:href="bxinfra-20260930.xsd#bxinfra_WarehousingAgreementAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_WarehousingAgreementAbstract" xlink:to="lab_bxinfra_WarehousingAgreementAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ClassSTEACCUnitsMember_019f1937-220f-7065-925f-a029ea9955b7_terseLabel_en-US" xlink:label="lab_bxinfra_ClassSTEACCUnitsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Class S- TE-ACC Units</link:label>
    <link:label id="lab_bxinfra_ClassSTEACCUnitsMember_label_en-US" xlink:label="lab_bxinfra_ClassSTEACCUnitsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class S-TE-ACC Units [Member]</link:label>
    <link:label id="lab_bxinfra_ClassSTEACCUnitsMember_documentation_en-US" xlink:label="lab_bxinfra_ClassSTEACCUnitsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Class S-TE-ACC Units</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ClassSTEACCUnitsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ClassSTEACCUnitsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ClassSTEACCUnitsMember" xlink:to="lab_bxinfra_ClassSTEACCUnitsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_OrganizationalExpenses_019f1937-220f-7a66-874f-df2f2061f3be_terseLabel_en-US" xlink:label="lab_bxinfra_OrganizationalExpenses" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Organizational Expenses</link:label>
    <link:label id="lab_bxinfra_OrganizationalExpenses_label_en-US" xlink:label="lab_bxinfra_OrganizationalExpenses" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Organizational Expenses</link:label>
    <link:label id="lab_bxinfra_OrganizationalExpenses_documentation_en-US" xlink:label="lab_bxinfra_OrganizationalExpenses" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Organizational expenses.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_OrganizationalExpenses" xlink:href="bxinfra-20260930.xsd#bxinfra_OrganizationalExpenses"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_OrganizationalExpenses" xlink:to="lab_bxinfra_OrganizationalExpenses" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherLiabilities_019f1937-2165-72fb-9c67-4b49dc301a3d_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">Due 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/2026/elts/us-gaap-2026.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_bxinfra_PerformanceParticipationAllocationWrittenNoticePeriod_019fb6a1-56ad-775f-85f2-e8f8e1da6ffd_terseLabel_en-US" xlink:label="lab_bxinfra_PerformanceParticipationAllocationWrittenNoticePeriod" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Written notice period</link:label>
    <link:label id="lab_bxinfra_PerformanceParticipationAllocationWrittenNoticePeriod_label_en-US" xlink:label="lab_bxinfra_PerformanceParticipationAllocationWrittenNoticePeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Performance Participation Allocation, Written Notice Period</link:label>
    <link:label id="lab_bxinfra_PerformanceParticipationAllocationWrittenNoticePeriod_documentation_en-US" xlink:label="lab_bxinfra_PerformanceParticipationAllocationWrittenNoticePeriod" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Performance Participation Allocation, Written Notice Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_PerformanceParticipationAllocationWrittenNoticePeriod" xlink:href="bxinfra-20260930.xsd#bxinfra_PerformanceParticipationAllocationWrittenNoticePeriod"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PerformanceParticipationAllocationWrittenNoticePeriod" xlink:to="lab_bxinfra_PerformanceParticipationAllocationWrittenNoticePeriod" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_GeneralPartnerInterestMember_01a110e0-08e8-73cc-9bb5-29ee4155cc86_verboseLabel_en-US" xlink:label="lab_bxinfra_GeneralPartnerInterestMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">General Partner Interest</link:label>
    <link:label id="lab_bxinfra_GeneralPartnerInterestMember_label_en-US" xlink:label="lab_bxinfra_GeneralPartnerInterestMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">General Partner Interest [Member]</link:label>
    <link:label id="lab_bxinfra_GeneralPartnerInterestMember_documentation_en-US" xlink:label="lab_bxinfra_GeneralPartnerInterestMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">General partner interest.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_GeneralPartnerInterestMember" xlink:href="bxinfra-20260930.xsd#bxinfra_GeneralPartnerInterestMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_GeneralPartnerInterestMember" xlink:to="lab_bxinfra_GeneralPartnerInterestMember" 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/2026/ecd-2026.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_us-gaap_DerivativeTable_019f1937-220f-7c40-b9b3-78c8b7746a54_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/2026/elts/us-gaap-2026.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_bxinfra_NetAssetsLineItems_019f1937-220f-735c-9e47-c42c19ee62cb_terseLabel_en-US" xlink:label="lab_bxinfra_NetAssetsLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Assets [Line Items]</link:label>
    <link:label id="lab_bxinfra_NetAssetsLineItems_label_en-US" xlink:label="lab_bxinfra_NetAssetsLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Assets [Line Items]</link:label>
    <link:label id="lab_bxinfra_NetAssetsLineItems_documentation_en-US" xlink:label="lab_bxinfra_NetAssetsLineItems" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Net Assets [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_NetAssetsLineItems" xlink:href="bxinfra-20260930.xsd#bxinfra_NetAssetsLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_NetAssetsLineItems" xlink:to="lab_bxinfra_NetAssetsLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_DistributionsReinvested_019f1937-2165-708b-80ae-fab90fdbff61_terseLabel_en-US" xlink:label="lab_bxinfra_DistributionsReinvested" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distribution Reinvested</link:label>
    <link:label id="lab_bxinfra_DistributionsReinvested_label_en-US" xlink:label="lab_bxinfra_DistributionsReinvested" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Distributions Reinvested</link:label>
    <link:label id="lab_bxinfra_DistributionsReinvested_documentation_en-US" xlink:label="lab_bxinfra_DistributionsReinvested" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Distributions reinvested.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DistributionsReinvested" xlink:href="bxinfra-20260930.xsd#bxinfra_DistributionsReinvested"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DistributionsReinvested" xlink:to="lab_bxinfra_DistributionsReinvested" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentIncomeOperatingAfterExpenseAndTax_01a10db4-d79a-7dbc-87cd-15957b65613a_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)</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/2026/elts/us-gaap-2026.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_us-gaap_DistributionsMadeToLimitedPartnerByDistributionTableTextBlock_019f1937-220f-77a9-90c2-55b80df8fd57_terseLabel_en-US" xlink:label="lab_us-gaap_DistributionsMadeToLimitedPartnerByDistributionTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Aggregate Distributions Declared and Payable</link:label>
    <link:label id="lab_us-gaap_DistributionsMadeToLimitedPartnerByDistributionTableTextBlock_label_en-US" xlink:label="lab_us-gaap_DistributionsMadeToLimitedPartnerByDistributionTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Distributions Made to Limited Partner, by Distribution [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DistributionsMadeToLimitedPartnerByDistributionTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DistributionsMadeToLimitedPartnerByDistributionTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DistributionsMadeToLimitedPartnerByDistributionTableTextBlock" xlink:to="lab_us-gaap_DistributionsMadeToLimitedPartnerByDistributionTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_OrganizationalCostPayableMember_019f1937-220f-77e9-a513-cbb6dff05250_terseLabel_en-US" xlink:label="lab_bxinfra_OrganizationalCostPayableMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Organizational Cost Payable</link:label>
    <link:label id="lab_bxinfra_OrganizationalCostPayableMember_label_en-US" xlink:label="lab_bxinfra_OrganizationalCostPayableMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Organizational Cost Payable [Member]</link:label>
    <link:label id="lab_bxinfra_OrganizationalCostPayableMember_documentation_en-US" xlink:label="lab_bxinfra_OrganizationalCostPayableMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Organizational Cost Payable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_OrganizationalCostPayableMember" xlink:href="bxinfra-20260930.xsd#bxinfra_OrganizationalCostPayableMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_OrganizationalCostPayableMember" xlink:to="lab_bxinfra_OrganizationalCostPayableMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ClassITESeriesIIUnitsMember_019f1937-220f-7a45-adf6-590ba105bf66_terseLabel_en-US" xlink:label="lab_bxinfra_ClassITESeriesIIUnitsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Series II-TE Units</link:label>
    <link:label id="lab_bxinfra_ClassITESeriesIIUnitsMember_label_en-US" xlink:label="lab_bxinfra_ClassITESeriesIIUnitsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class I-TE Series II Units [Member]</link:label>
    <link:label id="lab_bxinfra_ClassITESeriesIIUnitsMember_documentation_en-US" xlink:label="lab_bxinfra_ClassITESeriesIIUnitsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Class I-TE Series II Units</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ClassITESeriesIIUnitsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ClassITESeriesIIUnitsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ClassITESeriesIIUnitsMember" xlink:to="lab_bxinfra_ClassITESeriesIIUnitsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_PaymentsForRedemptions_019f1937-2165-70ba-960c-bdd455aea735_negatedTerseLabel_en-US" xlink:label="lab_bxinfra_PaymentsForRedemptions" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Payments for Redemptions</link:label>
    <link:label id="lab_bxinfra_PaymentsForRedemptions_label_en-US" xlink:label="lab_bxinfra_PaymentsForRedemptions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payments For Redemptions</link:label>
    <link:label id="lab_bxinfra_PaymentsForRedemptions_documentation_en-US" xlink:label="lab_bxinfra_PaymentsForRedemptions" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Payments for redemptions.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_PaymentsForRedemptions" xlink:href="bxinfra-20260930.xsd#bxinfra_PaymentsForRedemptions"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PaymentsForRedemptions" xlink:to="lab_bxinfra_PaymentsForRedemptions" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_InvestmentCompanyNumberOfInvestment_019f1937-2165-7c46-8ae9-ded33c7133ce_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentCompanyNumberOfInvestment" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of investments</link:label>
    <link:label id="lab_bxinfra_InvestmentCompanyNumberOfInvestment_label_en-US" xlink:label="lab_bxinfra_InvestmentCompanyNumberOfInvestment" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Number of Investment</link:label>
    <link:label id="lab_bxinfra_InvestmentCompanyNumberOfInvestment_documentation_en-US" xlink:label="lab_bxinfra_InvestmentCompanyNumberOfInvestment" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Company, Number of Investment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentCompanyNumberOfInvestment" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentCompanyNumberOfInvestment"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentCompanyNumberOfInvestment" xlink:to="lab_bxinfra_InvestmentCompanyNumberOfInvestment" 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/2026/ecd-2026.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_bxinfra_PercentageOfRepurchaseOfUnitsOutstanding_019f1937-220f-70f9-9ab7-4fdae9d9ceb2_terseLabel_en-US" xlink:label="lab_bxinfra_PercentageOfRepurchaseOfUnitsOutstanding" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage of repurchase of units outstanding</link:label>
    <link:label id="lab_bxinfra_PercentageOfRepurchaseOfUnitsOutstanding_label_en-US" xlink:label="lab_bxinfra_PercentageOfRepurchaseOfUnitsOutstanding" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Percentage Of Repurchase Of Units Outstanding</link:label>
    <link:label id="lab_bxinfra_PercentageOfRepurchaseOfUnitsOutstanding_documentation_en-US" xlink:label="lab_bxinfra_PercentageOfRepurchaseOfUnitsOutstanding" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Percentage Of Repurchase Of Units Outstanding.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_PercentageOfRepurchaseOfUnitsOutstanding" xlink:href="bxinfra-20260930.xsd#bxinfra_PercentageOfRepurchaseOfUnitsOutstanding"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PercentageOfRepurchaseOfUnitsOutstanding" xlink:to="lab_bxinfra_PercentageOfRepurchaseOfUnitsOutstanding" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyTransactionAxis_019f1937-2165-7d7c-a266-fd42da129c71_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/2026/elts/us-gaap-2026.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_bxinfra_JutlandCreditFacilityMember_019f1937-2165-7246-968c-9d6585123c20_terseLabel_en-US" xlink:label="lab_bxinfra_JutlandCreditFacilityMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Jutland Credit Facility</link:label>
    <link:label id="lab_bxinfra_JutlandCreditFacilityMember_label_en-US" xlink:label="lab_bxinfra_JutlandCreditFacilityMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Jutland Credit Facility [Member]</link:label>
    <link:label id="lab_bxinfra_JutlandCreditFacilityMember_documentation_en-US" xlink:label="lab_bxinfra_JutlandCreditFacilityMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Jutland Credit Facility</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_JutlandCreditFacilityMember" xlink:href="bxinfra-20260930.xsd#bxinfra_JutlandCreditFacilityMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_JutlandCreditFacilityMember" xlink:to="lab_bxinfra_JutlandCreditFacilityMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_FincoMember_019f1937-220f-7fd0-9763-9132e906ae72_terseLabel_en-US" xlink:label="lab_bxinfra_FincoMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Finco</link:label>
    <link:label id="lab_bxinfra_FincoMember_label_en-US" xlink:label="lab_bxinfra_FincoMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Finco [Member]</link:label>
    <link:label id="lab_bxinfra_FincoMember_documentation_en-US" xlink:label="lab_bxinfra_FincoMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Finco.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_FincoMember" xlink:href="bxinfra-20260930.xsd#bxinfra_FincoMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_FincoMember" xlink:to="lab_bxinfra_FincoMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentQuarterlyReport_019f1937-2165-74f0-9817-1a272952beb0_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:label id="lab_dei_DocumentQuarterlyReport_label_en-US" xlink:label="lab_dei_DocumentQuarterlyReport" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.xsd#dei_DocumentQuarterlyReport"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentQuarterlyReport" xlink:to="lab_dei_DocumentQuarterlyReport" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis_019f1937-220f-739a-9b6e-fc4ddc95e9f7_terseLabel_en-US" xlink:label="lab_us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Repurchase Agreements and Similar Transactions, Maturity Periods [Axis]</link:label>
    <link:label id="lab_us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis_label_en-US" xlink:label="lab_us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Repurchase Agreements and Similar Transactions, Maturity Periods [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis" xlink:to="lab_us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis" 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>
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    <link:loc xlink:type="locator" xlink:label="loc_ecd_ChngInFrValOfOutsdngAndUnvstdEqtyAwrdsGrntdInPrrYrsMember" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_ChngInFrValOfOutsdngAndUnvstdEqtyAwrdsGrntdInPrrYrsMember"/>
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    <link:label id="lab_us-gaap_InterestRateSwapMember_01a19bd7-2f8d-71b2-87cb-5a147f689ced_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 Swap</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/2026/elts/us-gaap-2026.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_LineOfCreditFacilityAxis_019f1937-2165-7567-bf22-7db742a620a9_terseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Lender Name [Axis]</link:label>
    <link:label id="lab_us-gaap_LineOfCreditFacilityAxis_label_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Lender Name [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityAxis" xlink:to="lab_us-gaap_LineOfCreditFacilityAxis" xlink:type="arc" order="1"/>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations"/>
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    <link:label id="lab_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput_019f1937-220f-7cda-af6e-94755e9b5ec3_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">Measurement inputs</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/2026/elts/us-gaap-2026.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_us-gaap_DebtDisclosureTextBlock_019f1937-220f-7248-bd8f-5cb7ffde6b4b_verboseLabel_en-US" xlink:label="lab_us-gaap_DebtDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Line of Credit Agreement</link:label>
    <link:label id="lab_us-gaap_DebtDisclosureTextBlock_019f1937-220f-7978-bbcb-86c22364a86e_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">Borrowings</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/2026/elts/us-gaap-2026.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_us-gaap_InvestmentOwnedAtCost_019f1937-2210-7cc6-b954-b93efe0e0e9f_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">Investment owned, 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/2026/elts/us-gaap-2026.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_us-gaap_ManagementFeeExpense_019f1937-2165-76de-914d-defb41d62834_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 Fees</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/2026/elts/us-gaap-2026.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_us-gaap_OpenForwardForeignCurrencyContractIdentifierAxis_01a1c121-fedd-7a1e-a08b-39fa93dad776_terseLabel_en-US" xlink:label="lab_us-gaap_OpenForwardForeignCurrencyContractIdentifierAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Open Forward Foreign Currency Contract, Identifier [Axis]</link:label>
    <link:label id="lab_us-gaap_OpenForwardForeignCurrencyContractIdentifierAxis_label_en-US" xlink:label="lab_us-gaap_OpenForwardForeignCurrencyContractIdentifierAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Open Forward Foreign Currency Contract, Identifier [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OpenForwardForeignCurrencyContractIdentifierAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OpenForwardForeignCurrencyContractIdentifierAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OpenForwardForeignCurrencyContractIdentifierAxis" xlink:to="lab_us-gaap_OpenForwardForeignCurrencyContractIdentifierAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_PerformanceParticipationAllocationMember_019f1937-220f-7673-a278-2be24f5238e9_terseLabel_en-US" xlink:label="lab_bxinfra_PerformanceParticipationAllocationMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Performance Participation Allocation</link:label>
    <link:label id="lab_bxinfra_PerformanceParticipationAllocationMember_label_en-US" xlink:label="lab_bxinfra_PerformanceParticipationAllocationMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Performance Participation Allocation [Member]</link:label>
    <link:label id="lab_bxinfra_PerformanceParticipationAllocationMember_documentation_en-US" xlink:label="lab_bxinfra_PerformanceParticipationAllocationMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Performance participation allocation.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_PerformanceParticipationAllocationMember" xlink:href="bxinfra-20260930.xsd#bxinfra_PerformanceParticipationAllocationMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PerformanceParticipationAllocationMember" xlink:to="lab_bxinfra_PerformanceParticipationAllocationMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ServicingFeesPayable_019f1937-2165-76a7-9293-7420bd1128a3_terseLabel_en-US" xlink:label="lab_bxinfra_ServicingFeesPayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Servicing Fees Payable</link:label>
    <link:label id="lab_bxinfra_ServicingFeesPayable_label_en-US" xlink:label="lab_bxinfra_ServicingFeesPayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Servicing Fees Payable</link:label>
    <link:label id="lab_bxinfra_ServicingFeesPayable_documentation_en-US" xlink:label="lab_bxinfra_ServicingFeesPayable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Servicing fees payable.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ServicingFeesPayable" xlink:href="bxinfra-20260930.xsd#bxinfra_ServicingFeesPayable"/>
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    <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>
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    <link:label id="lab_us-gaap_InvestmentCompanyFinancialHighlightsTextBlock_019f1937-2165-75cd-9cdc-ea52f8fd087f_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/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyFinancialHighlightsTextBlock"/>
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    <link:loc xlink:type="locator" xlink:label="loc_ecd_PeoActuallyPaidCompAmt" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.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_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1_019f1937-2210-75e8-a1ac-d292866f7727_verboseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Change in Gain (Loss) Included in Net Assets</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/2026/elts/us-gaap-2026.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_MeasurementInputTypeDomain_019f1937-2165-79eb-b297-e2f2aa8623ce_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/2026/elts/us-gaap-2026.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_bxinfra_InvestmentsInAffiliatedInvesteeFunds_019f1937-2210-7351-8270-9c22a97439c7_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentsInAffiliatedInvesteeFunds" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments in affiliated investee funds</link:label>
    <link:label id="lab_bxinfra_InvestmentsInAffiliatedInvesteeFunds_label_en-US" xlink:label="lab_bxinfra_InvestmentsInAffiliatedInvesteeFunds" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investments In Affiliated Investee Funds</link:label>
    <link:label id="lab_bxinfra_InvestmentsInAffiliatedInvesteeFunds_documentation_en-US" xlink:label="lab_bxinfra_InvestmentsInAffiliatedInvesteeFunds" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investments In Affiliated Investee Funds.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentsInAffiliatedInvesteeFunds" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentsInAffiliatedInvesteeFunds"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentsInAffiliatedInvesteeFunds" xlink:to="lab_bxinfra_InvestmentsInAffiliatedInvesteeFunds" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_LineOfCreditFacilityRepaymentOptionAxis_019f1937-2210-7fb3-a46f-420336ff0efc_terseLabel_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityRepaymentOptionAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Line Of Credit Facility, Repayment Option [Axis]</link:label>
    <link:label id="lab_bxinfra_LineOfCreditFacilityRepaymentOptionAxis_label_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityRepaymentOptionAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line Of Credit Facility, Repayment Option [Axis]</link:label>
    <link:label id="lab_bxinfra_LineOfCreditFacilityRepaymentOptionAxis_documentation_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityRepaymentOptionAxis" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Line Of Credit Facility, Repayment Option</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_LineOfCreditFacilityRepaymentOptionAxis" xlink:href="bxinfra-20260930.xsd#bxinfra_LineOfCreditFacilityRepaymentOptionAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_LineOfCreditFacilityRepaymentOptionAxis" xlink:to="lab_bxinfra_LineOfCreditFacilityRepaymentOptionAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity_019f1937-220f-7f52-b3b9-48b534d3cdc0_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Purchases of Investments</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/2026/elts/us-gaap-2026.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_us-gaap_ForeignExchangeContractMember_019f1937-220f-733c-a304-92c129d04f5d_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 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/2026/elts/us-gaap-2026.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_us-gaap_DeferredCostsCurrentAndNoncurrent_01a1a3e6-ed7d-7e29-9d9e-09b016196d98_terseLabel_en-US" xlink:label="lab_us-gaap_DeferredCostsCurrentAndNoncurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deferred Assets</link:label>
    <link:label id="lab_us-gaap_DeferredCostsCurrentAndNoncurrent_label_en-US" xlink:label="lab_us-gaap_DeferredCostsCurrentAndNoncurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Costs</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredCostsCurrentAndNoncurrent" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredCostsCurrentAndNoncurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredCostsCurrentAndNoncurrent" xlink:to="lab_us-gaap_DeferredCostsCurrentAndNoncurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentIncomeNetAbstract_019f1937-220f-78ab-8501-4dde57ae297b_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentIncomeNetAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.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_IncreaseDecreaseInAccruedTaxesPayable_019f1937-2165-7f2c-a94b-1e1a0643246b_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInAccruedTaxesPayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Taxes Payable</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInAccruedTaxesPayable_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInAccruedTaxesPayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Accrued Taxes Payable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccruedTaxesPayable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInAccruedTaxesPayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInAccruedTaxesPayable" xlink:to="lab_us-gaap_IncreaseDecreaseInAccruedTaxesPayable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AssetsAbstract_019f1937-2165-7904-ac91-4e969185e6f3_terseLabel_en-US" xlink:label="lab_us-gaap_AssetsAbstract" 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_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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.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_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/2026/ecd-2026.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_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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.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_ProfessionalFees_019f1937-2165-77b7-9799-798385c148a2_terseLabel_en-US" xlink:label="lab_us-gaap_ProfessionalFees" xlink:role="http://www.xbrl.org/2003/role/terseLabel" 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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.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_InvestmentIssuerAffiliationDomain_019f1937-220f-7d2b-b033-a53839a15385_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/2026/elts/us-gaap-2026.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_bxinfra_PercentageOfPerformanceParticipationAllocationOfPartnersToTotalReturn_019f1937-2165-7c28-9e84-a000ecdd7e53_terseLabel_en-US" xlink:label="lab_bxinfra_PercentageOfPerformanceParticipationAllocationOfPartnersToTotalReturn" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage of performance participation allocation of partners to total return</link:label>
    <link:label id="lab_bxinfra_PercentageOfPerformanceParticipationAllocationOfPartnersToTotalReturn_label_en-US" xlink:label="lab_bxinfra_PercentageOfPerformanceParticipationAllocationOfPartnersToTotalReturn" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Percentage Of Performance Participation Allocation Of Partners To total Return</link:label>
    <link:label id="lab_bxinfra_PercentageOfPerformanceParticipationAllocationOfPartnersToTotalReturn_documentation_en-US" xlink:label="lab_bxinfra_PercentageOfPerformanceParticipationAllocationOfPartnersToTotalReturn" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Percentage of performance participation allocation of partners to total return.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_PercentageOfPerformanceParticipationAllocationOfPartnersToTotalReturn" xlink:href="bxinfra-20260930.xsd#bxinfra_PercentageOfPerformanceParticipationAllocationOfPartnersToTotalReturn"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PercentageOfPerformanceParticipationAllocationOfPartnersToTotalReturn" xlink:to="lab_bxinfra_PercentageOfPerformanceParticipationAllocationOfPartnersToTotalReturn" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestIncomeOperating_01a10db1-0221-7885-85da-6343e13c1f7a_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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.xsd#ecd_InsiderTrdPoliciesProcAdoptedFlag"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_InsiderTrdPoliciesProcAdoptedFlag" xlink:to="lab_ecd_InsiderTrdPoliciesProcAdoptedFlag" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_CashHeldAtBanksMember_01a0d210-3427-72fa-a3ea-e5fac00b4183_terseLabel_en-US" xlink:label="lab_bxinfra_CashHeldAtBanksMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash Held at Banks</link:label>
    <link:label id="lab_bxinfra_CashHeldAtBanksMember_label_en-US" xlink:label="lab_bxinfra_CashHeldAtBanksMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash Held At Banks [Member]</link:label>
    <link:label id="lab_bxinfra_CashHeldAtBanksMember_documentation_en-US" xlink:label="lab_bxinfra_CashHeldAtBanksMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Cash Held At Banks</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_CashHeldAtBanksMember" xlink:href="bxinfra-20260930.xsd#bxinfra_CashHeldAtBanksMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_CashHeldAtBanksMember" xlink:to="lab_bxinfra_CashHeldAtBanksMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_FeederMember_019f1937-2210-78e7-8692-70e752982f46_terseLabel_en-US" xlink:label="lab_bxinfra_FeederMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Feeder</link:label>
    <link:label id="lab_bxinfra_FeederMember_label_en-US" xlink:label="lab_bxinfra_FeederMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Feeder [Member]</link:label>
    <link:label id="lab_bxinfra_FeederMember_documentation_en-US" xlink:label="lab_bxinfra_FeederMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Feeder.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_FeederMember" xlink:href="bxinfra-20260930.xsd#bxinfra_FeederMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_FeederMember" xlink:to="lab_bxinfra_FeederMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_PercentageOfEarlyDeductionUnitsRepurchased_019f1937-220f-74bd-8203-8f615cb436f5_terseLabel_en-US" xlink:label="lab_bxinfra_PercentageOfEarlyDeductionUnitsRepurchased" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage of early deduction units repurchased</link:label>
    <link:label id="lab_bxinfra_PercentageOfEarlyDeductionUnitsRepurchased_label_en-US" xlink:label="lab_bxinfra_PercentageOfEarlyDeductionUnitsRepurchased" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Percentage Of Early Deduction Units Repurchased</link:label>
    <link:label id="lab_bxinfra_PercentageOfEarlyDeductionUnitsRepurchased_documentation_en-US" xlink:label="lab_bxinfra_PercentageOfEarlyDeductionUnitsRepurchased" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Percentage Of Early Deduction Units Repurchased.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_PercentageOfEarlyDeductionUnitsRepurchased" xlink:href="bxinfra-20260930.xsd#bxinfra_PercentageOfEarlyDeductionUnitsRepurchased"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PercentageOfEarlyDeductionUnitsRepurchased" xlink:to="lab_bxinfra_PercentageOfEarlyDeductionUnitsRepurchased" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeInstrumentsGainLossLineItems_019f1937-220f-7b9f-a62e-2b2ceb20ad98_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/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeInstrumentsGainLossLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:to="lab_us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyContractualFeeWaived_019f1937-2165-772b-bfc8-aa61e1ce11c8_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyContractualFeeWaived" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Management Fees Waived</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyContractualFeeWaived_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyContractualFeeWaived" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Contractual Fee Waived</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyContractualFeeWaived" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyContractualFeeWaived"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyContractualFeeWaived" xlink:to="lab_us-gaap_InvestmentCompanyContractualFeeWaived" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_UnusedAmountTermDomain_019f1937-2165-7a1a-b49d-59e4ca3e3816_terseLabel_en-US" xlink:label="lab_bxinfra_UnusedAmountTermDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unused Amount Term [Domain]</link:label>
    <link:label id="lab_bxinfra_UnusedAmountTermDomain_label_en-US" xlink:label="lab_bxinfra_UnusedAmountTermDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unused Amount Term [Domain]</link:label>
    <link:label id="lab_bxinfra_UnusedAmountTermDomain_documentation_en-US" xlink:label="lab_bxinfra_UnusedAmountTermDomain" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Unused amount term.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_UnusedAmountTermDomain" xlink:href="bxinfra-20260930.xsd#bxinfra_UnusedAmountTermDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_UnusedAmountTermDomain" xlink:to="lab_bxinfra_UnusedAmountTermDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_DerivativeTypeAxis_019f1937-2165-7f7b-b492-1d5aa1619610_terseLabel_en-US" xlink:label="lab_bxinfra_DerivativeTypeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Type [Axis]</link:label>
    <link:label id="lab_bxinfra_DerivativeTypeAxis_label_en-US" xlink:label="lab_bxinfra_DerivativeTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Type [Axis]</link:label>
    <link:label id="lab_bxinfra_DerivativeTypeAxis_documentation_en-US" xlink:label="lab_bxinfra_DerivativeTypeAxis" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Derivative Type [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DerivativeTypeAxis" xlink:href="bxinfra-20260930.xsd#bxinfra_DerivativeTypeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeTypeAxis" xlink:to="lab_bxinfra_DerivativeTypeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_InterestRateUntilPaymentForAcquisitionOfInvestment_019f1937-220f-7460-a7c4-8e60a3cc1be3_terseLabel_en-US" xlink:label="lab_bxinfra_InterestRateUntilPaymentForAcquisitionOfInvestment" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest rate until payment for acquisition of investment</link:label>
    <link:label id="lab_bxinfra_InterestRateUntilPaymentForAcquisitionOfInvestment_label_en-US" xlink:label="lab_bxinfra_InterestRateUntilPaymentForAcquisitionOfInvestment" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Rate Until Payment For Acquisition of Investment</link:label>
    <link:label id="lab_bxinfra_InterestRateUntilPaymentForAcquisitionOfInvestment_documentation_en-US" xlink:label="lab_bxinfra_InterestRateUntilPaymentForAcquisitionOfInvestment" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest Rate Until Payment For Acquisition of Investment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InterestRateUntilPaymentForAcquisitionOfInvestment" xlink:href="bxinfra-20260930.xsd#bxinfra_InterestRateUntilPaymentForAcquisitionOfInvestment"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InterestRateUntilPaymentForAcquisitionOfInvestment" xlink:to="lab_bxinfra_InterestRateUntilPaymentForAcquisitionOfInvestment" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_019f1937-2165-7e0b-86de-6cc9a94a4058_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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.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_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationAbstract_label_en-US" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Assets and Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationAbstract" xlink:to="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_EquityInvestmentsMember_019f1937-220f-7cfa-a19d-b0ac3ee41305_terseLabel_en-US" xlink:label="lab_bxinfra_EquityInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Investments</link:label>
    <link:label id="lab_bxinfra_EquityInvestmentsMember_label_en-US" xlink:label="lab_bxinfra_EquityInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Investments [Member]</link:label>
    <link:label id="lab_bxinfra_EquityInvestmentsMember_documentation_en-US" xlink:label="lab_bxinfra_EquityInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Equity Investments [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_EquityInvestmentsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_EquityInvestmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_EquityInvestmentsMember" xlink:to="lab_bxinfra_EquityInvestmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NumberOfOperatingSegments_019f3e4a-8891-755d-b061-5118d09473c3_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/2026/elts/us-gaap-2026.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_bxinfra_LineOfCreditFacilityRepaymentOptionTwoMember_019f1937-220f-7e1d-a1f5-785574cb1e3e_terseLabel_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityRepaymentOptionTwoMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Date on which investment manager no longer acts as investment manager</link:label>
    <link:label id="lab_bxinfra_LineOfCreditFacilityRepaymentOptionTwoMember_label_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityRepaymentOptionTwoMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line Of Credit Facility, Repayment Option Two [Member]</link:label>
    <link:label id="lab_bxinfra_LineOfCreditFacilityRepaymentOptionTwoMember_documentation_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityRepaymentOptionTwoMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Line Of Credit Facility, Repayment Option Two</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_LineOfCreditFacilityRepaymentOptionTwoMember" xlink:href="bxinfra-20260930.xsd#bxinfra_LineOfCreditFacilityRepaymentOptionTwoMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_LineOfCreditFacilityRepaymentOptionTwoMember" xlink:to="lab_bxinfra_LineOfCreditFacilityRepaymentOptionTwoMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_DistributionsOfUnits_019f1937-2210-7b87-bbd4-d293d5049325_terseLabel_en-US" xlink:label="lab_bxinfra_DistributionsOfUnits" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distributions</link:label>
    <link:label id="lab_bxinfra_DistributionsOfUnits_label_en-US" xlink:label="lab_bxinfra_DistributionsOfUnits" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Distributions</link:label>
    <link:label id="lab_bxinfra_DistributionsOfUnits_documentation_en-US" xlink:label="lab_bxinfra_DistributionsOfUnits" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Distributions of units.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DistributionsOfUnits" xlink:href="bxinfra-20260930.xsd#bxinfra_DistributionsOfUnits"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DistributionsOfUnits" xlink:to="lab_bxinfra_DistributionsOfUnits" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityCentralIndexKey_019f1937-2165-7fb3-ae87-eb69b604670a_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:label id="lab_dei_EntityCentralIndexKey_label_en-US" xlink:label="lab_dei_EntityCentralIndexKey" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_srt_WeightedAverageMember_019f1937-220f-7986-943e-0e0b35777c49_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/2026/elts/srt-2026.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_InvestmentCompanyChangesInNetAssetsTable_019f1937-220f-73cb-9105-937e080a68a3_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyChangesInNetAssetsTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Company, Change in Net Assets [Table]</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyChangesInNetAssetsTable_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyChangesInNetAssetsTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Change in Net Assets [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyChangesInNetAssetsTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyChangesInNetAssetsTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyChangesInNetAssetsTable" xlink:to="lab_us-gaap_InvestmentCompanyChangesInNetAssetsTable" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_OfferingCostsPayable_019f1937-2165-7953-873e-b0212150004c_terseLabel_en-US" xlink:label="lab_bxinfra_OfferingCostsPayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Offering Costs Payable</link:label>
    <link:label id="lab_bxinfra_OfferingCostsPayable_label_en-US" xlink:label="lab_bxinfra_OfferingCostsPayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Offering Costs Payable</link:label>
    <link:label id="lab_bxinfra_OfferingCostsPayable_documentation_en-US" xlink:label="lab_bxinfra_OfferingCostsPayable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Offering costs payable.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_OfferingCostsPayable" xlink:href="bxinfra-20260930.xsd#bxinfra_OfferingCostsPayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_OfferingCostsPayable" xlink:to="lab_bxinfra_OfferingCostsPayable" 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/2026/ecd-2026.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_bxinfra_AggregatorCreditAgreementMember_019f1937-220f-754d-9b63-18d1d759e1dc_terseLabel_en-US" xlink:label="lab_bxinfra_AggregatorCreditAgreementMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregator Credit Agreement</link:label>
    <link:label id="lab_bxinfra_AggregatorCreditAgreementMember_label_en-US" xlink:label="lab_bxinfra_AggregatorCreditAgreementMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Aggregator Credit Agreement [Member]</link:label>
    <link:label id="lab_bxinfra_AggregatorCreditAgreementMember_documentation_en-US" xlink:label="lab_bxinfra_AggregatorCreditAgreementMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Aggregator Credit Agreement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_AggregatorCreditAgreementMember" xlink:href="bxinfra-20260930.xsd#bxinfra_AggregatorCreditAgreementMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AggregatorCreditAgreementMember" xlink:to="lab_bxinfra_AggregatorCreditAgreementMember" 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/2026/ecd-2026.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_us-gaap_IncomeTaxPolicyTextBlock_019f1937-220f-73a7-bf44-4dd7ada061e9_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/2026/elts/us-gaap-2026.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_us-gaap_NetCashProvidedByUsedInOperatingActivities_019f1937-220f-7d6b-a176-79eba3fe6622_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/2026/elts/us-gaap-2026.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_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/2026/elts/us-gaap-2026.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_dei_DocumentTransitionReport_019f1937-2165-7094-b195-5ccb0fc50fb4_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:label id="lab_dei_DocumentTransitionReport_label_en-US" xlink:label="lab_dei_DocumentTransitionReport" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_FairValueByFairValueHierarchyLevelAxis_019f1937-220f-77da-864c-e3b4da5d6c5c_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/2026/elts/us-gaap-2026.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_us-gaap_ScheduleOfInvestmentsLineItems_019f1937-220f-71cc-8193-041481266cd6_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/2026/elts/us-gaap-2026.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_bxinfra_InvestmentCompanyCommitmentScenarioAxis_01a1a441-1194-758b-8896-439835f2f4ff_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentCompanyCommitmentScenarioAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Company, Commitment, Scenario [Axis]</link:label>
    <link:label id="lab_bxinfra_InvestmentCompanyCommitmentScenarioAxis_label_en-US" xlink:label="lab_bxinfra_InvestmentCompanyCommitmentScenarioAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Commitment, Scenario [Axis]</link:label>
    <link:label id="lab_bxinfra_InvestmentCompanyCommitmentScenarioAxis_documentation_en-US" xlink:label="lab_bxinfra_InvestmentCompanyCommitmentScenarioAxis" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Company, Commitment, Scenario</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentCompanyCommitmentScenarioAxis" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentCompanyCommitmentScenarioAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentCompanyCommitmentScenarioAxis" xlink:to="lab_bxinfra_InvestmentCompanyCommitmentScenarioAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_019f1937-220f-706f-936a-a1de20bb14d1_terseLabel_en-US" xlink:label="lab_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment, Name [Axis]</link:label>
    <link:label id="lab_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_label_en-US" xlink:label="lab_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Name [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis" xlink:to="lab_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare_019f1937-220f-7b8d-a9bd-d93087cbc9bf_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 Change in Unrealized Gain (Loss) on Investment in BXINFRA U.S. (in dollars 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/2026/elts/us-gaap-2026.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_InvestmentCompanyIssuanceOfSharesPerShare_019f1937-2210-768f-afa5-b1488889e1ba_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyIssuanceOfSharesPerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Proceeds from Units Issued (in dollars per share)</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyIssuanceOfSharesPerShare_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyIssuanceOfSharesPerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Share Issuance, Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyIssuanceOfSharesPerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyIssuanceOfSharesPerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyIssuanceOfSharesPerShare" xlink:to="lab_us-gaap_InvestmentCompanyIssuanceOfSharesPerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DeferredIncomeTaxAssetsNet_019fcdae-6a1a-713e-8b24-127a33b13433_terseLabel_en-US" xlink:label="lab_us-gaap_DeferredIncomeTaxAssetsNet" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deferred Tax Assets</link:label>
    <link:label id="lab_us-gaap_DeferredIncomeTaxAssetsNet_label_en-US" xlink:label="lab_us-gaap_DeferredIncomeTaxAssetsNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Income Tax Assets, Net</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxAssetsNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredIncomeTaxAssetsNet"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredIncomeTaxAssetsNet" xlink:to="lab_us-gaap_DeferredIncomeTaxAssetsNet" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OperatingExpensesAbstract_019f1937-2210-7c09-9422-c2b7adcad24f_terseLabel_en-US" xlink:label="lab_us-gaap_OperatingExpensesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">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/2026/elts/us-gaap-2026.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_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/2026/elts/us-gaap-2026.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_InvestmentCompanyVoluntaryFeeWaived_019f1937-2165-7fe7-a7d5-bc1cc52aa646_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyVoluntaryFeeWaived" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment company, voluntary fee waived</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyVoluntaryFeeWaived_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyVoluntaryFeeWaived" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Voluntary Fee Waived</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyVoluntaryFeeWaived" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyVoluntaryFeeWaived"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyVoluntaryFeeWaived" xlink:to="lab_us-gaap_InvestmentCompanyVoluntaryFeeWaived" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_PerformanceParticipationAllocationAccrued_019f1937-2210-7d13-9aae-5214f069eb99_terseLabel_en-US" xlink:label="lab_bxinfra_PerformanceParticipationAllocationAccrued" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Performance participation allocation</link:label>
    <link:label id="lab_bxinfra_PerformanceParticipationAllocationAccrued_label_en-US" xlink:label="lab_bxinfra_PerformanceParticipationAllocationAccrued" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Performance Participation Allocation Accrued</link:label>
    <link:label id="lab_bxinfra_PerformanceParticipationAllocationAccrued_documentation_en-US" xlink:label="lab_bxinfra_PerformanceParticipationAllocationAccrued" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Performance participation allocation.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_PerformanceParticipationAllocationAccrued" xlink:href="bxinfra-20260930.xsd#bxinfra_PerformanceParticipationAllocationAccrued"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PerformanceParticipationAllocationAccrued" xlink:to="lab_bxinfra_PerformanceParticipationAllocationAccrued" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1_019f1937-2210-7703-a613-bfb1cc7fe923_verboseLabel_en-US" xlink:label="lab_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Variable rate</link:label>
    <link:label id="lab_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1_019f1937-2210-7856-81fd-a04a87e00a93_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">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/2026/elts/us-gaap-2026.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_bxinfra_NameOfInvestmentGroupDomain_019f1937-220f-7c23-853e-d9b8186ee4aa_terseLabel_en-US" xlink:label="lab_bxinfra_NameOfInvestmentGroupDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Name Of Investment Group [Domain]</link:label>
    <link:label id="lab_bxinfra_NameOfInvestmentGroupDomain_label_en-US" xlink:label="lab_bxinfra_NameOfInvestmentGroupDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Name Of Investment Group [Domain]</link:label>
    <link:label id="lab_bxinfra_NameOfInvestmentGroupDomain_documentation_en-US" xlink:label="lab_bxinfra_NameOfInvestmentGroupDomain" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Name Of investment group.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_NameOfInvestmentGroupDomain" xlink:href="bxinfra-20260930.xsd#bxinfra_NameOfInvestmentGroupDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_NameOfInvestmentGroupDomain" xlink:to="lab_bxinfra_NameOfInvestmentGroupDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_UnitDistributionMember_019f1937-2166-762b-93ce-290d4a364506_terseLabel_en-US" xlink:label="lab_us-gaap_UnitDistributionMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unit Distribution</link:label>
    <link:label id="lab_us-gaap_UnitDistributionMember_label_en-US" xlink:label="lab_us-gaap_UnitDistributionMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unit Distribution [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnitDistributionMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_UnitDistributionMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnitDistributionMember" xlink:to="lab_us-gaap_UnitDistributionMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_CityAreaCode_019f1937-2210-7524-a08e-58e78baedc24_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:label id="lab_dei_CityAreaCode_label_en-US" xlink:label="lab_dei_CityAreaCode" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_us-gaap_VariableRateDomain_019f1937-2165-756d-8382-adc6296619c8_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/2026/elts/us-gaap-2026.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_us-gaap_IncomeTaxExaminationLineItems_019f1937-2165-73bb-878d-3aff7fec488a_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeTaxExaminationLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Income Tax Examination [Line Items]</link:label>
    <link:label id="lab_us-gaap_IncomeTaxExaminationLineItems_label_en-US" xlink:label="lab_us-gaap_IncomeTaxExaminationLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Income Tax Examination [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExaminationLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxExaminationLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxExaminationLineItems" xlink:to="lab_us-gaap_IncomeTaxExaminationLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodValueConversionOfUnits_019f1937-2165-7508-97ba-43b54dbaa63f_terseLabel_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodValueConversionOfUnits" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Conversion of Units Between Classes or Series</link:label>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodValueConversionOfUnits_label_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodValueConversionOfUnits" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Issued During Period, Value, Conversion of Units</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockIssuedDuringPeriodValueConversionOfUnits" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockIssuedDuringPeriodValueConversionOfUnits"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockIssuedDuringPeriodValueConversionOfUnits" xlink:to="lab_us-gaap_StockIssuedDuringPeriodValueConversionOfUnits" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTableTextBlock_01a08b33-edd1-7fe1-a4c2-2ac3f837967e_verboseLabel_en-US" xlink:label="lab_bxinfra_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Investments Fair Value of an Investment using NAV</link:label>
    <link:label id="lab_bxinfra_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTableTextBlock_label_en-US" xlink:label="lab_bxinfra_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure In Tabular Form Of Fair Value Of Investments In Affiliates And Unfunded Commitment [Table Text Block]</link:label>
    <link:label id="lab_bxinfra_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTableTextBlock_documentation_en-US" xlink:label="lab_bxinfra_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disclosure in tabular form of fair value of investments in affiliates and unfunded commitment.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTableTextBlock" xlink:href="bxinfra-20260930.xsd#bxinfra_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTableTextBlock" xlink:to="lab_bxinfra_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentInformationTable_019f1937-220f-7d4c-9398-e97c4bbfd3b4_terseLabel_en-US" xlink:label="lab_dei_DocumentInformationTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Document Information [Table]</link:label>
    <link:label id="lab_dei_DocumentInformationTable_label_en-US" xlink:label="lab_dei_DocumentInformationTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Document Information [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentInformationTable" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentInformationTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentInformationTable" xlink:to="lab_dei_DocumentInformationTable" 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/2026/ecd-2026.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_SubsequentEventsTextBlock_019f1937-220f-732b-a474-40f0cb8d9a8c_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/2026/elts/us-gaap-2026.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_bxinfra_CommitmentsAndContingenciesDisclosureLineItems_019f1937-220f-7f1e-8aa0-abdf821dcdf7_terseLabel_en-US" xlink:label="lab_bxinfra_CommitmentsAndContingenciesDisclosureLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Commitments And Contingencies Disclosure [Line Items]</link:label>
    <link:label id="lab_bxinfra_CommitmentsAndContingenciesDisclosureLineItems_label_en-US" xlink:label="lab_bxinfra_CommitmentsAndContingenciesDisclosureLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Commitments And Contingencies Disclosure [Line Items]</link:label>
    <link:label id="lab_bxinfra_CommitmentsAndContingenciesDisclosureLineItems_documentation_en-US" xlink:label="lab_bxinfra_CommitmentsAndContingenciesDisclosureLineItems" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Commitments And Contingencies Disclosure [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_CommitmentsAndContingenciesDisclosureLineItems" xlink:href="bxinfra-20260930.xsd#bxinfra_CommitmentsAndContingenciesDisclosureLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_CommitmentsAndContingenciesDisclosureLineItems" xlink:to="lab_bxinfra_CommitmentsAndContingenciesDisclosureLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_AgreementAxis_019f1937-2165-7a26-b3ed-fdeabdcf9051_terseLabel_en-US" xlink:label="lab_bxinfra_AgreementAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Agreement [Axis]</link:label>
    <link:label id="lab_bxinfra_AgreementAxis_label_en-US" xlink:label="lab_bxinfra_AgreementAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Agreement [Axis]</link:label>
    <link:label id="lab_bxinfra_AgreementAxis_documentation_en-US" xlink:label="lab_bxinfra_AgreementAxis" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Agreement.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_AgreementAxis" xlink:href="bxinfra-20260930.xsd#bxinfra_AgreementAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AgreementAxis" xlink:to="lab_bxinfra_AgreementAxis" 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/2026/ecd-2026.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_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationCalculationRollForward_019f1937-2165-7349-9cc8-02d5ed99d40b_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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.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_bxinfra_DebtInvestmentsInfrastructureMember_019f1937-2165-752a-a057-bcfcce3d1a7f_terseLabel_en-US" xlink:label="lab_bxinfra_DebtInvestmentsInfrastructureMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Investments - Infrastructure</link:label>
    <link:label id="lab_bxinfra_DebtInvestmentsInfrastructureMember_label_en-US" xlink:label="lab_bxinfra_DebtInvestmentsInfrastructureMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Investments - Infrastructure [Member]</link:label>
    <link:label id="lab_bxinfra_DebtInvestmentsInfrastructureMember_documentation_en-US" xlink:label="lab_bxinfra_DebtInvestmentsInfrastructureMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Investments - Infrastructure</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DebtInvestmentsInfrastructureMember" xlink:href="bxinfra-20260930.xsd#bxinfra_DebtInvestmentsInfrastructureMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DebtInvestmentsInfrastructureMember" xlink:to="lab_bxinfra_DebtInvestmentsInfrastructureMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_EnergyMember_019f1937-2165-7c54-8185-d4961279d132_terseLabel_en-US" xlink:label="lab_bxinfra_EnergyMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Energy</link:label>
    <link:label id="lab_bxinfra_EnergyMember_label_en-US" xlink:label="lab_bxinfra_EnergyMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Energy [Member]</link:label>
    <link:label id="lab_bxinfra_EnergyMember_documentation_en-US" xlink:label="lab_bxinfra_EnergyMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Energy [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_EnergyMember" xlink:href="bxinfra-20260930.xsd#bxinfra_EnergyMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_EnergyMember" xlink:to="lab_bxinfra_EnergyMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StatementLineItems_019f1937-220f-707a-9c9e-9ccab9a32f59_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/2026/elts/us-gaap-2026.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_Assets_019f1937-2165-75ef-832e-3088caca2637_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/2026/elts/us-gaap-2026.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_bxinfra_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum_019f1937-2210-7eea-bf43-4b9ddd124855_terseLabel_en-US" xlink:label="lab_bxinfra_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Specified expenses as a percentage of net asset value maximum</link:label>
    <link:label id="lab_bxinfra_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum_label_en-US" xlink:label="lab_bxinfra_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Specified Expenses As A Percentage Of Net Asset Value Maximum</link:label>
    <link:label id="lab_bxinfra_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum_documentation_en-US" xlink:label="lab_bxinfra_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Specified expenses as a percentage of net asset value maximum.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum" xlink:href="bxinfra-20260930.xsd#bxinfra_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum" xlink:to="lab_bxinfra_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityDomain_019f1937-220f-72ba-96b7-26b63e456d79_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:label id="lab_dei_EntityDomain_label_en-US" xlink:label="lab_dei_EntityDomain" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_us-gaap_InterestExpenseOperating_019f1937-220f-7e9a-a2e4-8a0b0d4b926f_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_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/2026/elts/us-gaap-2026.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_us-gaap_InvestmentIncomeNet_019f1937-2210-7fdc-9736-4e53b4dd02d7_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentIncomeNet" 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_InvestmentIncomeNet_019f1937-2210-7093-82ce-0c66477f549a_verboseLabel_en-US" xlink:label="lab_us-gaap_InvestmentIncomeNet" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Net Investment Income (Loss)</link:label>
    <link:label id="lab_us-gaap_InvestmentIncomeNet_019f1937-2210-75bf-a49c-92da4100353c_totalLabel_en-US" xlink:label="lab_us-gaap_InvestmentIncomeNet" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net Investment Income (Loss)</link:label>
    <link:label id="lab_us-gaap_InvestmentIncomeNet_019f1937-2210-7372-adfc-a7e8749b5197_netLabel_en-US" xlink:label="lab_us-gaap_InvestmentIncomeNet" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:type="resource" xml:lang="en-US">Net Investment Income (Loss)</link:label>
    <link:label id="lab_us-gaap_InvestmentIncomeNet_label_en-US" xlink:label="lab_us-gaap_InvestmentIncomeNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Income, Net</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIncomeNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentIncomeNet"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIncomeNet" xlink:to="lab_us-gaap_InvestmentIncomeNet" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EquitySecuritiesByIndustryAxis_019f1937-2165-7e3c-ac11-367edd92ec43_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/2026/elts/us-gaap-2026.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_bxinfra_InvestmentCompanyExpenseRatioExpensesAndManagementFeesWaivers_019f1937-220f-7499-903d-a280379238a7_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentCompanyExpenseRatioExpensesAndManagementFeesWaivers" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Expense Support and Management Fees Waivers</link:label>
    <link:label id="lab_bxinfra_InvestmentCompanyExpenseRatioExpensesAndManagementFeesWaivers_label_en-US" xlink:label="lab_bxinfra_InvestmentCompanyExpenseRatioExpensesAndManagementFeesWaivers" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Expense Ratio, Expenses and Management Fees Waivers</link:label>
    <link:label id="lab_bxinfra_InvestmentCompanyExpenseRatioExpensesAndManagementFeesWaivers_documentation_en-US" xlink:label="lab_bxinfra_InvestmentCompanyExpenseRatioExpensesAndManagementFeesWaivers" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment company, expense ratio, expenses and management fees waivers.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentCompanyExpenseRatioExpensesAndManagementFeesWaivers" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentCompanyExpenseRatioExpensesAndManagementFeesWaivers"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentCompanyExpenseRatioExpensesAndManagementFeesWaivers" xlink:to="lab_bxinfra_InvestmentCompanyExpenseRatioExpensesAndManagementFeesWaivers" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_LineOfCreditFacilityRepaymentOptionDomain_019f1937-2165-7d5f-8ef6-caae0a019c23_terseLabel_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityRepaymentOptionDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Line Of Credit Facility, Repayment Option [Domain]</link:label>
    <link:label id="lab_bxinfra_LineOfCreditFacilityRepaymentOptionDomain_label_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityRepaymentOptionDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line Of Credit Facility, Repayment Option [Domain]</link:label>
    <link:label id="lab_bxinfra_LineOfCreditFacilityRepaymentOptionDomain_documentation_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityRepaymentOptionDomain" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Line Of Credit Facility, Repayment Option [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_LineOfCreditFacilityRepaymentOptionDomain" xlink:href="bxinfra-20260930.xsd#bxinfra_LineOfCreditFacilityRepaymentOptionDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_LineOfCreditFacilityRepaymentOptionDomain" xlink:to="lab_bxinfra_LineOfCreditFacilityRepaymentOptionDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_EnergyInfrastructureMember_019f1937-220f-7d2b-a6ad-96f99cd7d5bd_terseLabel_en-US" xlink:label="lab_bxinfra_EnergyInfrastructureMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Energy Infrastructure</link:label>
    <link:label id="lab_bxinfra_EnergyInfrastructureMember_label_en-US" xlink:label="lab_bxinfra_EnergyInfrastructureMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Energy Infrastructure [Member]</link:label>
    <link:label id="lab_bxinfra_EnergyInfrastructureMember_documentation_en-US" xlink:label="lab_bxinfra_EnergyInfrastructureMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Energy Infrastructure</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_EnergyInfrastructureMember" xlink:href="bxinfra-20260930.xsd#bxinfra_EnergyInfrastructureMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_EnergyInfrastructureMember" xlink:to="lab_bxinfra_EnergyInfrastructureMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfAssetsSoldUnderAgreementsToRepurchaseTable_019f1937-220f-78a1-ba85-896afcfce1d6_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfAssetsSoldUnderAgreementsToRepurchaseTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Asset Sold under Agreement to Repurchase [Table]</link:label>
    <link:label id="lab_us-gaap_ScheduleOfAssetsSoldUnderAgreementsToRepurchaseTable_label_en-US" xlink:label="lab_us-gaap_ScheduleOfAssetsSoldUnderAgreementsToRepurchaseTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Asset Sold under Agreement to Repurchase [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfAssetsSoldUnderAgreementsToRepurchaseTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfAssetsSoldUnderAgreementsToRepurchaseTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfAssetsSoldUnderAgreementsToRepurchaseTable" xlink:to="lab_us-gaap_ScheduleOfAssetsSoldUnderAgreementsToRepurchaseTable" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments_019f1937-2165-790a-9be6-31ab5f2a30f7_terseLabel_en-US" xlink:label="lab_bxinfra_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Change in Unrealized Gain (Loss) on Derivative Instruments</link:label>
    <link:label id="lab_bxinfra_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments_019f1937-2165-7ee2-98d8-2cdcea0d1ed6_negatedTerseLabel_en-US" xlink:label="lab_bxinfra_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Net Change in Unrealized (Gain) Loss on Derivative Instruments</link:label>
    <link:label id="lab_bxinfra_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments_label_en-US" xlink:label="lab_bxinfra_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments</link:label>
    <link:label id="lab_bxinfra_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments_documentation_en-US" xlink:label="lab_bxinfra_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Increase decrease in unrealized gain loss on derivative instruments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" xlink:href="bxinfra-20260930.xsd#bxinfra_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" xlink:to="lab_bxinfra_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PartnersCapital_019f1937-2165-7bdc-84b1-a55ec36e04c5_totalLabel_en-US" xlink:label="lab_us-gaap_PartnersCapital" 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_PartnersCapital_label_en-US" xlink:label="lab_us-gaap_PartnersCapital" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Partners' Capital</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PartnersCapital" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PartnersCapital"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PartnersCapital" xlink:to="lab_us-gaap_PartnersCapital" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AccountsPayableAndOtherAccruedLiabilities_019f1937-2165-71a7-b050-f31b162c195a_verboseLabel_en-US" xlink:label="lab_us-gaap_AccountsPayableAndOtherAccruedLiabilities" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Accounts Payable and Accrued Expenses</link:label>
    <link:label id="lab_us-gaap_AccountsPayableAndOtherAccruedLiabilities_019f1937-2165-75fa-8138-4c92f8accfc2_terseLabel_en-US" xlink:label="lab_us-gaap_AccountsPayableAndOtherAccruedLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accounts Payable, Accrued Expenses and Other Liabilities</link:label>
    <link:label id="lab_us-gaap_AccountsPayableAndOtherAccruedLiabilities_label_en-US" xlink:label="lab_us-gaap_AccountsPayableAndOtherAccruedLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Accounts Payable and Other Accrued Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsPayableAndOtherAccruedLiabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountsPayableAndOtherAccruedLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AccountsPayableAndOtherAccruedLiabilities" xlink:to="lab_us-gaap_AccountsPayableAndOtherAccruedLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInOtherOperatingAssets_019f1937-2210-75db-aaf6-3127db436199_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInOtherOperatingAssets" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Interest and Dividend Receivable and Other Assets</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInOtherOperatingAssets_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInOtherOperatingAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Other Operating Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherOperatingAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInOtherOperatingAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInOtherOperatingAssets" xlink:to="lab_us-gaap_IncreaseDecreaseInOtherOperatingAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues_019f1937-220f-763e-975f-9526364d9333_verboseLabel_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Units 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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.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_IncreaseDecreaseInDeferredCharges_019f1937-2166-7f6c-8592-d7672fe0a44f_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInDeferredCharges" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Deferred Assets</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInDeferredCharges_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInDeferredCharges" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Deferred Charges</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInDeferredCharges" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInDeferredCharges"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInDeferredCharges" xlink:to="lab_us-gaap_IncreaseDecreaseInDeferredCharges" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ManagementAndServiceFeesRate_019f1937-220f-7f15-b310-d41a286c0486_terseLabel_en-US" xlink:label="lab_us-gaap_ManagementAndServiceFeesRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Management and service fees, rate</link:label>
    <link:label id="lab_us-gaap_ManagementAndServiceFeesRate_label_en-US" xlink:label="lab_us-gaap_ManagementAndServiceFeesRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Management and Service Fees, Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ManagementAndServiceFeesRate" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ManagementAndServiceFeesRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ManagementAndServiceFeesRate" xlink:to="lab_us-gaap_ManagementAndServiceFeesRate" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsMember_01a0d20f-9895-719a-a6ea-f4ea62f4105d_terseLabel_en-US" xlink:label="lab_us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash and Cash Equivalents [Domain]</link:label>
    <link:label id="lab_us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsMember_label_en-US" xlink:label="lab_us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash and Cash Equivalents [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsMember" xlink:to="lab_us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LineOfCreditFacilityMaximumAmountOutstandingDuringPeriod_019f1937-2165-7801-85cb-80a7ca318159_terseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityMaximumAmountOutstandingDuringPeriod" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Maximum amount outstanding</link:label>
    <link:label id="lab_us-gaap_LineOfCreditFacilityMaximumAmountOutstandingDuringPeriod_label_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityMaximumAmountOutstandingDuringPeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Maximum Amount Outstanding During Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityMaximumAmountOutstandingDuringPeriod" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityMaximumAmountOutstandingDuringPeriod"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityMaximumAmountOutstandingDuringPeriod" xlink:to="lab_us-gaap_LineOfCreditFacilityMaximumAmountOutstandingDuringPeriod" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_InvestmentOwnedMoneyMarketFundsAndDerivativesFairValue_01a1c2b9-1025-7701-9cca-fb47cb33a225_totalLabel_en-US" xlink:label="lab_bxinfra_InvestmentOwnedMoneyMarketFundsAndDerivativesFairValue" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Investments, Investments in Affiliated Investee Funds, Cash and Cash Equivalents and Derivative Instruments, Fair Value</link:label>
    <link:label id="lab_bxinfra_InvestmentOwnedMoneyMarketFundsAndDerivativesFairValue_label_en-US" xlink:label="lab_bxinfra_InvestmentOwnedMoneyMarketFundsAndDerivativesFairValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Owned, Money Market Funds, And Derivatives, Fair Value</link:label>
    <link:label id="lab_bxinfra_InvestmentOwnedMoneyMarketFundsAndDerivativesFairValue_documentation_en-US" xlink:label="lab_bxinfra_InvestmentOwnedMoneyMarketFundsAndDerivativesFairValue" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Owned, Money Market Funds, And Derivatives, Fair Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentOwnedMoneyMarketFundsAndDerivativesFairValue" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentOwnedMoneyMarketFundsAndDerivativesFairValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentOwnedMoneyMarketFundsAndDerivativesFairValue" xlink:to="lab_bxinfra_InvestmentOwnedMoneyMarketFundsAndDerivativesFairValue" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_DebtInvestmentsMember_019f1937-220f-7391-82e1-e25d2f6209ca_terseLabel_en-US" xlink:label="lab_bxinfra_DebtInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Investments</link:label>
    <link:label id="lab_bxinfra_DebtInvestmentsMember_label_en-US" xlink:label="lab_bxinfra_DebtInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Investments [Member]</link:label>
    <link:label id="lab_bxinfra_DebtInvestmentsMember_documentation_en-US" xlink:label="lab_bxinfra_DebtInvestmentsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Investments [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DebtInvestmentsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_DebtInvestmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DebtInvestmentsMember" xlink:to="lab_bxinfra_DebtInvestmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_DeferredOfferingCostsAmortization_019f1937-220f-7d9b-8f4d-7abfe7279681_terseLabel_en-US" xlink:label="lab_bxinfra_DeferredOfferingCostsAmortization" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deferred Offering Costs Amortization</link:label>
    <link:label id="lab_bxinfra_DeferredOfferingCostsAmortization_label_en-US" xlink:label="lab_bxinfra_DeferredOfferingCostsAmortization" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Offering Costs Amortization</link:label>
    <link:label id="lab_bxinfra_DeferredOfferingCostsAmortization_documentation_en-US" xlink:label="lab_bxinfra_DeferredOfferingCostsAmortization" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Deferred offering costs amortization.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DeferredOfferingCostsAmortization" xlink:href="bxinfra-20260930.xsd#bxinfra_DeferredOfferingCostsAmortization"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DeferredOfferingCostsAmortization" xlink:to="lab_bxinfra_DeferredOfferingCostsAmortization" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyRealizedAndUnrealizedGainLossOnInvestmentAndForeignCurrencyAbstract_019f1937-2165-7714-8f6a-30025a12b781_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyRealizedAndUnrealizedGainLossOnInvestmentAndForeignCurrencyAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Realized and Unrealized Gain (Loss) on Investments, Derivative Instruments and Translation of Assets and Liabilities in Foreign Currencies</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyRealizedAndUnrealizedGainLossOnInvestmentAndForeignCurrencyAbstract_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyRealizedAndUnrealizedGainLossOnInvestmentAndForeignCurrencyAbstract" 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, before Tax [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyRealizedAndUnrealizedGainLossOnInvestmentAndForeignCurrencyAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyRealizedAndUnrealizedGainLossOnInvestmentAndForeignCurrencyAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyRealizedAndUnrealizedGainLossOnInvestmentAndForeignCurrencyAbstract" xlink:to="lab_us-gaap_InvestmentCompanyRealizedAndUnrealizedGainLossOnInvestmentAndForeignCurrencyAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ClassSLimitedPartnershipACCUnitsMember_019f362e-b4ae-7b0b-b386-5b7a00356aa4_terseLabel_en-US" xlink:label="lab_bxinfra_ClassSLimitedPartnershipACCUnitsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Class S Limited Partnership ACC Units</link:label>
    <link:label id="lab_bxinfra_ClassSLimitedPartnershipACCUnitsMember_label_en-US" xlink:label="lab_bxinfra_ClassSLimitedPartnershipACCUnitsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class S Limited Partnership ACC Units [Member]</link:label>
    <link:label id="lab_bxinfra_ClassSLimitedPartnershipACCUnitsMember_documentation_en-US" xlink:label="lab_bxinfra_ClassSLimitedPartnershipACCUnitsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Class S Limited Partnership ACC Units</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ClassSLimitedPartnershipACCUnitsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ClassSLimitedPartnershipACCUnitsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ClassSLimitedPartnershipACCUnitsMember" xlink:to="lab_bxinfra_ClassSLimitedPartnershipACCUnitsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_InvestmentOwnedAtCostMoneyMarketFundsAtCarryingValueAndDerivativesAtCost_01a1c2b6-4945-7472-a4aa-6738e074dfae_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentOwnedAtCostMoneyMarketFundsAtCarryingValueAndDerivativesAtCost" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total Investments, Investments in Affiliated Investee Funds, Cash and Cash Equivalents and Derivative Instruments, cost</link:label>
    <link:label id="lab_bxinfra_InvestmentOwnedAtCostMoneyMarketFundsAtCarryingValueAndDerivativesAtCost_label_en-US" xlink:label="lab_bxinfra_InvestmentOwnedAtCostMoneyMarketFundsAtCarryingValueAndDerivativesAtCost" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Owned, At Cost, Money Market Funds, At Carrying Value And Derivatives, At Cost</link:label>
    <link:label id="lab_bxinfra_InvestmentOwnedAtCostMoneyMarketFundsAtCarryingValueAndDerivativesAtCost_documentation_en-US" xlink:label="lab_bxinfra_InvestmentOwnedAtCostMoneyMarketFundsAtCarryingValueAndDerivativesAtCost" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Owned, At Cost, Money Market Funds, At Carrying Value And Derivatives, At Cost</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentOwnedAtCostMoneyMarketFundsAtCarryingValueAndDerivativesAtCost" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentOwnedAtCostMoneyMarketFundsAtCarryingValueAndDerivativesAtCost"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentOwnedAtCostMoneyMarketFundsAtCarryingValueAndDerivativesAtCost" xlink:to="lab_bxinfra_InvestmentOwnedAtCostMoneyMarketFundsAtCarryingValueAndDerivativesAtCost" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_InvestmentCompanyExpenseRatioExpensesWithoutWaivers_019f1937-220f-74ee-b01f-19397b97deaa_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentCompanyExpenseRatioExpensesWithoutWaivers" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Expenses without waivers</link:label>
    <link:label id="lab_bxinfra_InvestmentCompanyExpenseRatioExpensesWithoutWaivers_label_en-US" xlink:label="lab_bxinfra_InvestmentCompanyExpenseRatioExpensesWithoutWaivers" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Expense Ratio, Expenses Without Waivers</link:label>
    <link:label id="lab_bxinfra_InvestmentCompanyExpenseRatioExpensesWithoutWaivers_documentation_en-US" xlink:label="lab_bxinfra_InvestmentCompanyExpenseRatioExpensesWithoutWaivers" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment company, expense ratio, expenses without waivers.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentCompanyExpenseRatioExpensesWithoutWaivers" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentCompanyExpenseRatioExpensesWithoutWaivers"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentCompanyExpenseRatioExpensesWithoutWaivers" xlink:to="lab_bxinfra_InvestmentCompanyExpenseRatioExpensesWithoutWaivers" 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/2026/ecd-2026.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_bxinfra_NumberOfClassesOfLimitedPartnershipUnits_019f1937-2166-7370-a708-f04fb34c7819_terseLabel_en-US" xlink:label="lab_bxinfra_NumberOfClassesOfLimitedPartnershipUnits" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Classes of limited partnership units</link:label>
    <link:label id="lab_bxinfra_NumberOfClassesOfLimitedPartnershipUnits_label_en-US" xlink:label="lab_bxinfra_NumberOfClassesOfLimitedPartnershipUnits" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Classes Of Limited Partnership Units</link:label>
    <link:label id="lab_bxinfra_NumberOfClassesOfLimitedPartnershipUnits_documentation_en-US" xlink:label="lab_bxinfra_NumberOfClassesOfLimitedPartnershipUnits" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number Of Classes Of Limited Partnership Units</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_NumberOfClassesOfLimitedPartnershipUnits" xlink:href="bxinfra-20260930.xsd#bxinfra_NumberOfClassesOfLimitedPartnershipUnits"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_NumberOfClassesOfLimitedPartnershipUnits" xlink:to="lab_bxinfra_NumberOfClassesOfLimitedPartnershipUnits" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CashAndCashEquivalentsPolicyTextBlock_019f1937-220f-7886-b85e-49d94ca80631_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 Cash Equivalents</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/2026/elts/us-gaap-2026.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_bxinfra_SecondUnusedAmountMember_019f1937-2165-7c7f-acf3-afd505650b40_terseLabel_en-US" xlink:label="lab_bxinfra_SecondUnusedAmountMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Second Unused Amount</link:label>
    <link:label id="lab_bxinfra_SecondUnusedAmountMember_label_en-US" xlink:label="lab_bxinfra_SecondUnusedAmountMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Second Unused Amount [Member]</link:label>
    <link:label id="lab_bxinfra_SecondUnusedAmountMember_documentation_en-US" xlink:label="lab_bxinfra_SecondUnusedAmountMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Second unused amount.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_SecondUnusedAmountMember" xlink:href="bxinfra-20260930.xsd#bxinfra_SecondUnusedAmountMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_SecondUnusedAmountMember" xlink:to="lab_bxinfra_SecondUnusedAmountMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_019f1937-2165-72d2-b289-b30af4d06769_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value Measurement Inputs and Valuation Techniques [Line Items]</link:label>
    <link:label id="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems_label_en-US" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Measurement Inputs and Valuation Techniques [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems" xlink:to="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SubsequentEventTypeDomain_019f1937-220f-7619-ab68-7c14c6748ee2_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/2026/elts/us-gaap-2026.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_bxinfra_PercentageOfInterestInAggregator_019f1937-2165-76f1-9000-f1906d82ca77_terseLabel_en-US" xlink:label="lab_bxinfra_PercentageOfInterestInAggregator" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage of interest in aggregator</link:label>
    <link:label id="lab_bxinfra_PercentageOfInterestInAggregator_label_en-US" xlink:label="lab_bxinfra_PercentageOfInterestInAggregator" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Percentage of Interest in Aggregator</link:label>
    <link:label id="lab_bxinfra_PercentageOfInterestInAggregator_documentation_en-US" xlink:label="lab_bxinfra_PercentageOfInterestInAggregator" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Percentage of interest in the aggregator.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_PercentageOfInterestInAggregator" xlink:href="bxinfra-20260930.xsd#bxinfra_PercentageOfInterestInAggregator"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PercentageOfInterestInAggregator" xlink:to="lab_bxinfra_PercentageOfInterestInAggregator" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_LiquidDebtInvestmentMember_019f1937-220f-7b10-bd86-96624568a19b_terseLabel_en-US" xlink:label="lab_bxinfra_LiquidDebtInvestmentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Investments - Liquids</link:label>
    <link:label id="lab_bxinfra_LiquidDebtInvestmentMember_label_en-US" xlink:label="lab_bxinfra_LiquidDebtInvestmentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Liquid Debt Investment [Member]</link:label>
    <link:label id="lab_bxinfra_LiquidDebtInvestmentMember_documentation_en-US" xlink:label="lab_bxinfra_LiquidDebtInvestmentMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Liquid debt investment.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_LiquidDebtInvestmentMember" xlink:href="bxinfra-20260930.xsd#bxinfra_LiquidDebtInvestmentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_LiquidDebtInvestmentMember" xlink:to="lab_bxinfra_LiquidDebtInvestmentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_AdvancedExpensesReimbursementAllowedDurationTerm_019f1937-2165-7844-86f6-9f9cc54bf327_terseLabel_en-US" xlink:label="lab_bxinfra_AdvancedExpensesReimbursementAllowedDurationTerm" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Advanced expenses reimbursement allowed duration term</link:label>
    <link:label id="lab_bxinfra_AdvancedExpensesReimbursementAllowedDurationTerm_label_en-US" xlink:label="lab_bxinfra_AdvancedExpensesReimbursementAllowedDurationTerm" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Advanced Expenses Reimbursement Allowed Duration Term</link:label>
    <link:label id="lab_bxinfra_AdvancedExpensesReimbursementAllowedDurationTerm_documentation_en-US" xlink:label="lab_bxinfra_AdvancedExpensesReimbursementAllowedDurationTerm" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Advanced expenses reimbursement allowed duration term.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_AdvancedExpensesReimbursementAllowedDurationTerm" xlink:href="bxinfra-20260930.xsd#bxinfra_AdvancedExpensesReimbursementAllowedDurationTerm"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AdvancedExpensesReimbursementAllowedDurationTerm" xlink:to="lab_bxinfra_AdvancedExpensesReimbursementAllowedDurationTerm" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MoneyMarketFundsMember_019f1937-220f-76d7-a0da-0a5dd8d65b53_terseLabel_en-US" xlink:label="lab_us-gaap_MoneyMarketFundsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Money Market Fund</link:label>
    <link:label id="lab_us-gaap_MoneyMarketFundsMember_label_en-US" xlink:label="lab_us-gaap_MoneyMarketFundsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Money Market Funds [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MoneyMarketFundsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MoneyMarketFundsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MoneyMarketFundsMember" xlink:to="lab_us-gaap_MoneyMarketFundsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyChangesInNetAssetsLineItems_019f1937-220f-7f71-9e33-8d1c3354ba93_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyChangesInNetAssetsLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Company, Change in Net Assets [Line Items]</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyChangesInNetAssetsLineItems_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyChangesInNetAssetsLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Change in Net Assets [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyChangesInNetAssetsLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyChangesInNetAssetsLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyChangesInNetAssetsLineItems" xlink:to="lab_us-gaap_InvestmentCompanyChangesInNetAssetsLineItems" xlink:type="arc" order="1"/>
    <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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.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_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare_019f1937-2210-7419-a692-5a921fa73e70_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Increase in Net Assets (in dollars per share)</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Investment Income (Loss) from Operations, Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare" xlink:to="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommonStockSharesOutstanding_019f1937-220f-7e3e-ac9d-f3f730e37807_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">Units 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/2026/elts/us-gaap-2026.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_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock_019f1937-2210-7d81-a1d0-794c903687e8_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Quantitative Inputs and Assumptions used for Valuation of Investments</link:label>
    <link:label id="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock_label_en-US" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Measurement Inputs and Valuation Techniques [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock" xlink:to="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock" 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/2026/ecd-2026.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_bxinfra_DerivativeAssetNetAssetPercentage_01a1c123-3300-7cb9-adbb-17df3bb81f7f_terseLabel_en-US" xlink:label="lab_bxinfra_DerivativeAssetNetAssetPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Asset, Fair Value as a Percentage of Net Assets</link:label>
    <link:label id="lab_bxinfra_DerivativeAssetNetAssetPercentage_label_en-US" xlink:label="lab_bxinfra_DerivativeAssetNetAssetPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Asset, Net Asset, Percentage</link:label>
    <link:label id="lab_bxinfra_DerivativeAssetNetAssetPercentage_documentation_en-US" xlink:label="lab_bxinfra_DerivativeAssetNetAssetPercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Derivative Asset, Net Asset, Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DerivativeAssetNetAssetPercentage" xlink:href="bxinfra-20260930.xsd#bxinfra_DerivativeAssetNetAssetPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeAssetNetAssetPercentage" xlink:to="lab_bxinfra_DerivativeAssetNetAssetPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_InvestmentManagerMember_019f1937-2165-74ca-aee0-fff9c244ac0c_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentManagerMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Manager</link:label>
    <link:label id="lab_bxinfra_InvestmentManagerMember_label_en-US" xlink:label="lab_bxinfra_InvestmentManagerMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Manager [Member]</link:label>
    <link:label id="lab_bxinfra_InvestmentManagerMember_documentation_en-US" xlink:label="lab_bxinfra_InvestmentManagerMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment manager.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentManagerMember" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentManagerMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentManagerMember" xlink:to="lab_bxinfra_InvestmentManagerMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityCurrentReportingStatus_019f1937-220f-7271-8552-dc88fac6c011_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:label id="lab_dei_EntityCurrentReportingStatus_label_en-US" xlink:label="lab_dei_EntityCurrentReportingStatus" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_DisclosureOfRepurchaseAgreementsAbstract_label_en-US" xlink:label="lab_us-gaap_DisclosureOfRepurchaseAgreementsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of Repurchase Agreements [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DisclosureOfRepurchaseAgreementsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DisclosureOfRepurchaseAgreementsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DisclosureOfRepurchaseAgreementsAbstract" xlink:to="lab_us-gaap_DisclosureOfRepurchaseAgreementsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInFinancingActivities_019f1937-2165-7985-b834-b73f37813caa_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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.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_us-gaap_LiabilitiesFairValueDisclosureAbstract_019f1937-220f-72b7-ba8b-9ff6f706e447_terseLabel_en-US" xlink:label="lab_us-gaap_LiabilitiesFairValueDisclosureAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Liabilities</link:label>
    <link:label id="lab_us-gaap_LiabilitiesFairValueDisclosureAbstract_label_en-US" xlink:label="lab_us-gaap_LiabilitiesFairValueDisclosureAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Liabilities, Fair Value Disclosure [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesFairValueDisclosureAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LiabilitiesFairValueDisclosureAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LiabilitiesFairValueDisclosureAbstract" xlink:to="lab_us-gaap_LiabilitiesFairValueDisclosureAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_UnrealizedGainLossOnInvestments_019f1937-220f-71c0-8381-8e4eb0546497_terseLabel_en-US" xlink:label="lab_us-gaap_UnrealizedGainLossOnInvestments" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Change in Unrealized Gain (Loss) on Investment in BXINFRA U.S.</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/2026/elts/us-gaap-2026.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_us-gaap_InvestmentCompanyTotalReturn_019f1937-220f-7d0f-a44c-f9d97d4c3f33_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/2026/elts/us-gaap-2026.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_us-gaap_LineOfCreditFacilityLineItems_019f1937-2165-798d-a302-d84ffae01b9b_terseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Line of Credit Facility [Line Items]</link:label>
    <link:label id="lab_us-gaap_LineOfCreditFacilityLineItems_label_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line of Credit Facility [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems" xlink:to="lab_us-gaap_LineOfCreditFacilityLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockholdersEquityNoteAbstract_label_en-US" xlink:label="lab_us-gaap_StockholdersEquityNoteAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stockholders' Equity Note [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityNoteAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockholdersEquityNoteAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockholdersEquityNoteAbstract" xlink:to="lab_us-gaap_StockholdersEquityNoteAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DeferredOfferingCosts_019f1937-2165-79b0-9224-b2506a73e7f2_terseLabel_en-US" xlink:label="lab_us-gaap_DeferredOfferingCosts" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deferred offering costs</link:label>
    <link:label id="lab_us-gaap_DeferredOfferingCosts_label_en-US" xlink:label="lab_us-gaap_DeferredOfferingCosts" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Offering Costs</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredOfferingCosts" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredOfferingCosts"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredOfferingCosts" xlink:to="lab_us-gaap_DeferredOfferingCosts" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ProceedsFromLongTermLinesOfCredit_01a1a3ea-e09f-7bca-8533-d1fb97827093_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromLongTermLinesOfCredit" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Proceeds from Line of Credit</link:label>
    <link:label id="lab_us-gaap_ProceedsFromLongTermLinesOfCredit_label_en-US" xlink:label="lab_us-gaap_ProceedsFromLongTermLinesOfCredit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds from Long-Term Lines of Credit</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromLongTermLinesOfCredit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProceedsFromLongTermLinesOfCredit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromLongTermLinesOfCredit" xlink:to="lab_us-gaap_ProceedsFromLongTermLinesOfCredit" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_019f1937-2165-7237-bfe5-2669204cd38b_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/2026/elts/us-gaap-2026.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_us-gaap_EquitySecuritiesInvestmentSummaryMember_019f1937-220f-7b83-be9f-aa373abb1bdf_verboseLabel_en-US" xlink:label="lab_us-gaap_EquitySecuritiesInvestmentSummaryMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Equity Investments</link:label>
    <link:label id="lab_us-gaap_EquitySecuritiesInvestmentSummaryMember_label_en-US" xlink:label="lab_us-gaap_EquitySecuritiesInvestmentSummaryMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Securities, Investment Summary [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquitySecuritiesInvestmentSummaryMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquitySecuritiesInvestmentSummaryMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquitySecuritiesInvestmentSummaryMember" xlink:to="lab_us-gaap_EquitySecuritiesInvestmentSummaryMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_AccruedWaivedExpenses_019f1937-2165-7b80-92b5-9ff8e93c4774_terseLabel_en-US" xlink:label="lab_bxinfra_AccruedWaivedExpenses" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accrued waived expenses</link:label>
    <link:label id="lab_bxinfra_AccruedWaivedExpenses_label_en-US" xlink:label="lab_bxinfra_AccruedWaivedExpenses" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Accrued Waived Expenses</link:label>
    <link:label id="lab_bxinfra_AccruedWaivedExpenses_documentation_en-US" xlink:label="lab_bxinfra_AccruedWaivedExpenses" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Accrued waived expenses.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_AccruedWaivedExpenses" xlink:href="bxinfra-20260930.xsd#bxinfra_AccruedWaivedExpenses"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AccruedWaivedExpenses" xlink:to="lab_bxinfra_AccruedWaivedExpenses" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_AggregatorTransactionalNav_019f1937-2166-78c0-a195-6a3022ae31e3_terseLabel_en-US" xlink:label="lab_bxinfra_AggregatorTransactionalNav" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregator transactional NAV</link:label>
    <link:label id="lab_bxinfra_AggregatorTransactionalNav_label_en-US" xlink:label="lab_bxinfra_AggregatorTransactionalNav" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Aggregator Transactional NAV</link:label>
    <link:label id="lab_bxinfra_AggregatorTransactionalNav_documentation_en-US" xlink:label="lab_bxinfra_AggregatorTransactionalNav" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Aggregator Transactional NAV.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_AggregatorTransactionalNav" xlink:href="bxinfra-20260930.xsd#bxinfra_AggregatorTransactionalNav"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AggregatorTransactionalNav" xlink:to="lab_bxinfra_AggregatorTransactionalNav" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_019f1937-220f-7300-a37a-fb59cec188a2_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">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/2026/elts/us-gaap-2026.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_bxinfra_InvestmentInTheAggregatorTable_019f1937-2165-72f8-b8f9-e1c5c6539eed_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentInTheAggregatorTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment in the Aggregator [Table]</link:label>
    <link:label id="lab_bxinfra_InvestmentInTheAggregatorTable_label_en-US" xlink:label="lab_bxinfra_InvestmentInTheAggregatorTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment in the Aggregator [Table]</link:label>
    <link:label id="lab_bxinfra_InvestmentInTheAggregatorTable_documentation_en-US" xlink:label="lab_bxinfra_InvestmentInTheAggregatorTable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment in the aggregator.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentInTheAggregatorTable" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentInTheAggregatorTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentInTheAggregatorTable" xlink:to="lab_bxinfra_InvestmentInTheAggregatorTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage_019f1937-220f-776c-80cf-e913f966eaa8_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">Unused commitment fee percentage</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/2026/elts/us-gaap-2026.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_bxinfra_RepurchaseAgreementsTextBlock_019f1937-2166-7cbf-b545-c80e49a7b0f9_terseLabel_en-US" xlink:label="lab_bxinfra_RepurchaseAgreementsTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Repurchase Agreements</link:label>
    <link:label id="lab_bxinfra_RepurchaseAgreementsTextBlock_label_en-US" xlink:label="lab_bxinfra_RepurchaseAgreementsTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Repurchase Agreements [Text Block]</link:label>
    <link:label id="lab_bxinfra_RepurchaseAgreementsTextBlock_documentation_en-US" xlink:label="lab_bxinfra_RepurchaseAgreementsTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Repurchase agreements.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_RepurchaseAgreementsTextBlock" xlink:href="bxinfra-20260930.xsd#bxinfra_RepurchaseAgreementsTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_RepurchaseAgreementsTextBlock" xlink:to="lab_bxinfra_RepurchaseAgreementsTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_IndustrialsMember_019f1937-220f-7f44-9b88-e095ea10dc31_terseLabel_en-US" xlink:label="lab_bxinfra_IndustrialsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Industrials</link:label>
    <link:label id="lab_bxinfra_IndustrialsMember_label_en-US" xlink:label="lab_bxinfra_IndustrialsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Industrials [Member]</link:label>
    <link:label id="lab_bxinfra_IndustrialsMember_documentation_en-US" xlink:label="lab_bxinfra_IndustrialsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Industrials</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_IndustrialsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_IndustrialsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_IndustrialsMember" xlink:to="lab_bxinfra_IndustrialsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain_019f1937-220f-7ca1-bd15-be559439b90c_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/2026/elts/us-gaap-2026.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_bxinfra_ExtensionOfCreditMember_01a1a441-5a50-70c6-a03a-f93adac701a5_terseLabel_en-US" xlink:label="lab_bxinfra_ExtensionOfCreditMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Extension Of Credit</link:label>
    <link:label id="lab_bxinfra_ExtensionOfCreditMember_label_en-US" xlink:label="lab_bxinfra_ExtensionOfCreditMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Extension Of Credit [Member]</link:label>
    <link:label id="lab_bxinfra_ExtensionOfCreditMember_documentation_en-US" xlink:label="lab_bxinfra_ExtensionOfCreditMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Extension Of Credit</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ExtensionOfCreditMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ExtensionOfCreditMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ExtensionOfCreditMember" xlink:to="lab_bxinfra_ExtensionOfCreditMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherIncome_019f1937-220f-783d-b5f1-7da3f145b111_terseLabel_en-US" xlink:label="lab_us-gaap_OtherIncome" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other</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/2026/elts/us-gaap-2026.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_us-gaap_DerivativeAssets_019f1937-220f-75aa-9031-1509e4d6a316_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">Derivative Assets</link:label>
    <link:label id="lab_us-gaap_DerivativeAssets_01a1c126-586d-7d04-b6c0-7a8913ee8f45_verboseLabel_en-US" xlink:label="lab_us-gaap_DerivativeAssets" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Derivative Asset, Fair Value</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/2026/elts/us-gaap-2026.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_us-gaap_LimitedPartnersCapitalAccountByClassAxis_019f1937-220f-7300-b161-9e0baab05407_terseLabel_en-US" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountByClassAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Limited Partners' Capital Account by Class [Axis]</link:label>
    <link:label id="lab_us-gaap_LimitedPartnersCapitalAccountByClassAxis_label_en-US" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountByClassAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Limited Partners' Capital Account by Class [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LimitedPartnersCapitalAccountByClassAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LimitedPartnersCapitalAccountByClassAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LimitedPartnersCapitalAccountByClassAxis" xlink:to="lab_us-gaap_LimitedPartnersCapitalAccountByClassAxis" 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/2026/ecd-2026.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_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/2026/ecd-2026.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_us-gaap_StockIssuedDuringPeriodValueNewIssues_019f1937-2165-7ba5-b248-9adb0e916251_terseLabel_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodValueNewIssues" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Proceeds from Units Issued</link:label>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodValueNewIssues_label_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodValueNewIssues" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Issued During Period, Value, New Issues</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockIssuedDuringPeriodValueNewIssues" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockIssuedDuringPeriodValueNewIssues"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockIssuedDuringPeriodValueNewIssues" xlink:to="lab_us-gaap_StockIssuedDuringPeriodValueNewIssues" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_PartnershipAgreementAndInvestmentManagementAgreementMember_019f1937-2165-7739-a344-a6de41fbd573_terseLabel_en-US" xlink:label="lab_bxinfra_PartnershipAgreementAndInvestmentManagementAgreementMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Partnership Agreement and Investment Management Agreement</link:label>
    <link:label id="lab_bxinfra_PartnershipAgreementAndInvestmentManagementAgreementMember_label_en-US" xlink:label="lab_bxinfra_PartnershipAgreementAndInvestmentManagementAgreementMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Partnership Agreement and Investment Management Agreement [Member]</link:label>
    <link:label id="lab_bxinfra_PartnershipAgreementAndInvestmentManagementAgreementMember_documentation_en-US" xlink:label="lab_bxinfra_PartnershipAgreementAndInvestmentManagementAgreementMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Partnership agreement and investment management agreement.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_PartnershipAgreementAndInvestmentManagementAgreementMember" xlink:href="bxinfra-20260930.xsd#bxinfra_PartnershipAgreementAndInvestmentManagementAgreementMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PartnershipAgreementAndInvestmentManagementAgreementMember" xlink:to="lab_bxinfra_PartnershipAgreementAndInvestmentManagementAgreementMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales_019f1937-2165-730c-a6e7-ccbb0aa5f622_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Sales and Proceeds from Investments</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/2026/elts/us-gaap-2026.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_bxinfra_AffiliatesPolicyTextBlock_019f1937-2165-7dc9-bb9c-e120da941533_terseLabel_en-US" xlink:label="lab_bxinfra_AffiliatesPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Affiliates</link:label>
    <link:label id="lab_bxinfra_AffiliatesPolicyTextBlock_label_en-US" xlink:label="lab_bxinfra_AffiliatesPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Affiliates [Policy Text Block]</link:label>
    <link:label id="lab_bxinfra_AffiliatesPolicyTextBlock_documentation_en-US" xlink:label="lab_bxinfra_AffiliatesPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Affiliates policy.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_AffiliatesPolicyTextBlock" xlink:href="bxinfra-20260930.xsd#bxinfra_AffiliatesPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AffiliatesPolicyTextBlock" xlink:to="lab_bxinfra_AffiliatesPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyFinancialHighlightsTableTextBlock_019f1937-220f-7daa-a5ef-eed9f4cb82ff_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 Capital Transactions and Differing Fee Arrangements</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/2026/elts/us-gaap-2026.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_HealthcareSectorMember_019f1937-2210-713a-8c0e-2833d806d13d_terseLabel_en-US" xlink:label="lab_us-gaap_HealthcareSectorMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Healthcare</link:label>
    <link:label id="lab_us-gaap_HealthcareSectorMember_label_en-US" xlink:label="lab_us-gaap_HealthcareSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Healthcare Sector [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_HealthcareSectorMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_HealthcareSectorMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_HealthcareSectorMember" xlink:to="lab_us-gaap_HealthcareSectorMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherAccruedLiabilitiesCurrentAndNoncurrent_019f1937-220f-7214-8c59-4db51b091b72_terseLabel_en-US" xlink:label="lab_us-gaap_OtherAccruedLiabilitiesCurrentAndNoncurrent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accrued Performance Participation Allocation</link:label>
    <link:label id="lab_us-gaap_OtherAccruedLiabilitiesCurrentAndNoncurrent_label_en-US" xlink:label="lab_us-gaap_OtherAccruedLiabilitiesCurrentAndNoncurrent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Accrued Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherAccruedLiabilitiesCurrentAndNoncurrent" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherAccruedLiabilitiesCurrentAndNoncurrent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherAccruedLiabilitiesCurrentAndNoncurrent" xlink:to="lab_us-gaap_OtherAccruedLiabilitiesCurrentAndNoncurrent" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ValuationTechniqueOtherMember_019f1937-220f-7546-a669-35c256cb0a4c_terseLabel_en-US" xlink:label="lab_bxinfra_ValuationTechniqueOtherMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other</link:label>
    <link:label id="lab_bxinfra_ValuationTechniqueOtherMember_label_en-US" xlink:label="lab_bxinfra_ValuationTechniqueOtherMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation Technique Other [Member]</link:label>
    <link:label id="lab_bxinfra_ValuationTechniqueOtherMember_documentation_en-US" xlink:label="lab_bxinfra_ValuationTechniqueOtherMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Valuation Technique other.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ValuationTechniqueOtherMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ValuationTechniqueOtherMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ValuationTechniqueOtherMember" xlink:to="lab_bxinfra_ValuationTechniqueOtherMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockIssued1_019f1937-2165-7484-8ac9-237c40043ee7_terseLabel_en-US" xlink:label="lab_us-gaap_StockIssued1" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Issuance of Class I-Series I Units for Performance Participation Allocation</link:label>
    <link:label id="lab_us-gaap_StockIssued1_label_en-US" xlink:label="lab_us-gaap_StockIssued1" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Issued</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockIssued1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockIssued1"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockIssued1" xlink:to="lab_us-gaap_StockIssued1" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ConsumerAndServicesMember_019f1937-2210-71be-bfe7-4b3c4f7d1b44_terseLabel_en-US" xlink:label="lab_bxinfra_ConsumerAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Consumer and Services</link:label>
    <link:label id="lab_bxinfra_ConsumerAndServicesMember_label_en-US" xlink:label="lab_bxinfra_ConsumerAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Consumer and Services [Member]</link:label>
    <link:label id="lab_bxinfra_ConsumerAndServicesMember_documentation_en-US" xlink:label="lab_bxinfra_ConsumerAndServicesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Consumer and Services</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ConsumerAndServicesMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ConsumerAndServicesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ConsumerAndServicesMember" xlink:to="lab_bxinfra_ConsumerAndServicesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_019f1937-220f-7616-bb4f-b5d2366e0ee8_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">Related Party Transaction [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/2026/elts/us-gaap-2026.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_CashMember_019f1937-220f-7202-8b58-fb45a47e35f6_terseLabel_en-US" xlink:label="lab_us-gaap_CashMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash</link:label>
    <link:label id="lab_us-gaap_CashMember_label_en-US" xlink:label="lab_us-gaap_CashMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashMember" xlink:to="lab_us-gaap_CashMember" 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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.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_us-gaap_DerivativeGainLossOnDerivativeNet_019f1937-2165-7016-b529-bf3b7e2526e2_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">Derivative Instruments</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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.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_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/2026/ecd-2026.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_dei_CurrentFiscalYearEndDate_019f1937-220f-769c-a8d8-e5aeed934a15_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:label id="lab_dei_CurrentFiscalYearEndDate_label_en-US" xlink:label="lab_dei_CurrentFiscalYearEndDate" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_bxinfra_OfferingExpenses_019f1937-2210-7195-a2ef-851ad9f1a5ba_terseLabel_en-US" xlink:label="lab_bxinfra_OfferingExpenses" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Offering expenses</link:label>
    <link:label id="lab_bxinfra_OfferingExpenses_label_en-US" xlink:label="lab_bxinfra_OfferingExpenses" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Offering Expenses</link:label>
    <link:label id="lab_bxinfra_OfferingExpenses_documentation_en-US" xlink:label="lab_bxinfra_OfferingExpenses" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Offering expenses.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_OfferingExpenses" xlink:href="bxinfra-20260930.xsd#bxinfra_OfferingExpenses"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_OfferingExpenses" xlink:to="lab_bxinfra_OfferingExpenses" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LimitedPartnersCapitalAccountUnitsIssued_019f1937-220f-7c10-97ab-56dd52b85aa5_terseLabel_en-US" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountUnitsIssued" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Units issued (in shares)</link:label>
    <link:label id="lab_us-gaap_LimitedPartnersCapitalAccountUnitsIssued_019f1937-220f-7a18-952d-1e4aa7dca674_verboseLabel_en-US" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountUnitsIssued" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Units issued (in shares)</link:label>
    <link:label id="lab_us-gaap_LimitedPartnersCapitalAccountUnitsIssued_label_en-US" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountUnitsIssued" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Limited Partners' Capital Account, Units Issued</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LimitedPartnersCapitalAccountUnitsIssued" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LimitedPartnersCapitalAccountUnitsIssued"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LimitedPartnersCapitalAccountUnitsIssued" xlink:to="lab_us-gaap_LimitedPartnersCapitalAccountUnitsIssued" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentOwnedBalanceShares_019f1937-2165-77a2-9f6f-038dac84e948_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">Investment owned, balance, shares (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/2026/elts/us-gaap-2026.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_bxinfra_AmortizationOfDebtInvestmentsLiquid_019f1937-2166-73e7-acde-16a53c61f3aa_terseLabel_en-US" xlink:label="lab_bxinfra_AmortizationOfDebtInvestmentsLiquid" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Amortization of Debt Investments</link:label>
    <link:label id="lab_bxinfra_AmortizationOfDebtInvestmentsLiquid_label_en-US" xlink:label="lab_bxinfra_AmortizationOfDebtInvestmentsLiquid" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Amortization Of Debt Investments Liquid</link:label>
    <link:label id="lab_bxinfra_AmortizationOfDebtInvestmentsLiquid_documentation_en-US" xlink:label="lab_bxinfra_AmortizationOfDebtInvestmentsLiquid" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Amortization of debt investments liquid.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_AmortizationOfDebtInvestmentsLiquid" xlink:href="bxinfra-20260930.xsd#bxinfra_AmortizationOfDebtInvestmentsLiquid"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AmortizationOfDebtInvestmentsLiquid" xlink:to="lab_bxinfra_AmortizationOfDebtInvestmentsLiquid" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_DueFromAffiliate_019f1937-2165-7283-94f0-861bde261eb7_terseLabel_en-US" xlink:label="lab_bxinfra_DueFromAffiliate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Due from Affiliates</link:label>
    <link:label id="lab_bxinfra_DueFromAffiliate_label_en-US" xlink:label="lab_bxinfra_DueFromAffiliate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Due From Affiliate</link:label>
    <link:label id="lab_bxinfra_DueFromAffiliate_documentation_en-US" xlink:label="lab_bxinfra_DueFromAffiliate" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Due from affiliate.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DueFromAffiliate" xlink:href="bxinfra-20260930.xsd#bxinfra_DueFromAffiliate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DueFromAffiliate" xlink:to="lab_bxinfra_DueFromAffiliate" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ProceedsFromRepurchaseAgreements_019f1937-220f-7994-ae03-d96896f48d42_terseLabel_en-US" xlink:label="lab_bxinfra_ProceedsFromRepurchaseAgreements" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Proceeds from Repurchase Agreements</link:label>
    <link:label id="lab_bxinfra_ProceedsFromRepurchaseAgreements_label_en-US" xlink:label="lab_bxinfra_ProceedsFromRepurchaseAgreements" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds From Repurchase Agreements</link:label>
    <link:label id="lab_bxinfra_ProceedsFromRepurchaseAgreements_documentation_en-US" xlink:label="lab_bxinfra_ProceedsFromRepurchaseAgreements" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Proceeds from repurchase agreements</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ProceedsFromRepurchaseAgreements" xlink:href="bxinfra-20260930.xsd#bxinfra_ProceedsFromRepurchaseAgreements"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ProceedsFromRepurchaseAgreements" xlink:to="lab_bxinfra_ProceedsFromRepurchaseAgreements" 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/2026/ecd-2026.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_bxinfra_InfrastructureServicesMember_019f1937-220f-7543-aea7-7f0927befe8c_terseLabel_en-US" xlink:label="lab_bxinfra_InfrastructureServicesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Infrastructure Services</link:label>
    <link:label id="lab_bxinfra_InfrastructureServicesMember_label_en-US" xlink:label="lab_bxinfra_InfrastructureServicesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Infrastructure Services [Member]</link:label>
    <link:label id="lab_bxinfra_InfrastructureServicesMember_documentation_en-US" xlink:label="lab_bxinfra_InfrastructureServicesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Infrastructure Services</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InfrastructureServicesMember" xlink:href="bxinfra-20260930.xsd#bxinfra_InfrastructureServicesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InfrastructureServicesMember" xlink:to="lab_bxinfra_InfrastructureServicesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeLineItems_019f1937-220f-7366-889a-e90220ab1ef0_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/2026/elts/us-gaap-2026.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_us-gaap_RelatedPartyTransactionDomain_019f1937-2165-7479-afdc-f6648eeac71e_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/2026/elts/us-gaap-2026.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_bxinfra_ProceedsFromSubsidiaries_019f1937-2165-7277-b19a-66c98763a5fa_terseLabel_en-US" xlink:label="lab_bxinfra_ProceedsFromSubsidiaries" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Proceeds from Investment in the Aggregator</link:label>
    <link:label id="lab_bxinfra_ProceedsFromSubsidiaries_label_en-US" xlink:label="lab_bxinfra_ProceedsFromSubsidiaries" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds From Subsidiaries</link:label>
    <link:label id="lab_bxinfra_ProceedsFromSubsidiaries_documentation_en-US" xlink:label="lab_bxinfra_ProceedsFromSubsidiaries" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Proceeds From Subsidiaries</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ProceedsFromSubsidiaries" xlink:href="bxinfra-20260930.xsd#bxinfra_ProceedsFromSubsidiaries"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ProceedsFromSubsidiaries" xlink:to="lab_bxinfra_ProceedsFromSubsidiaries" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ForeignCurrencyTransactionGainLossUnrealizedAfterTax_019f1937-2165-73f5-88d9-03e81ac78ecd_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossUnrealizedAfterTax" 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_us-gaap_ForeignCurrencyTransactionGainLossUnrealizedAfterTax_label_en-US" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossUnrealizedAfterTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unrealized Gain (Loss), Foreign Currency Transaction, after Tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ForeignCurrencyTransactionGainLossUnrealizedAfterTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ForeignCurrencyTransactionGainLossUnrealizedAfterTax"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ForeignCurrencyTransactionGainLossUnrealizedAfterTax" xlink:to="lab_us-gaap_ForeignCurrencyTransactionGainLossUnrealizedAfterTax" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_OtherSignificantNoncashTransactionDistributionsReinvested_019f1937-220f-7c86-893a-a903aedc6665_terseLabel_en-US" xlink:label="lab_bxinfra_OtherSignificantNoncashTransactionDistributionsReinvested" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distribution Reinvested</link:label>
    <link:label id="lab_bxinfra_OtherSignificantNoncashTransactionDistributionsReinvested_label_en-US" xlink:label="lab_bxinfra_OtherSignificantNoncashTransactionDistributionsReinvested" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Significant Noncash Transaction, Distributions Reinvested</link:label>
    <link:label id="lab_bxinfra_OtherSignificantNoncashTransactionDistributionsReinvested_documentation_en-US" xlink:label="lab_bxinfra_OtherSignificantNoncashTransactionDistributionsReinvested" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Other Significant Noncash Transaction, Distributions Reinvested</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_OtherSignificantNoncashTransactionDistributionsReinvested" xlink:href="bxinfra-20260930.xsd#bxinfra_OtherSignificantNoncashTransactionDistributionsReinvested"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_OtherSignificantNoncashTransactionDistributionsReinvested" xlink:to="lab_bxinfra_OtherSignificantNoncashTransactionDistributionsReinvested" 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/2026/ecd-2026.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_dei_EntityFileNumber_019f1937-2210-77a8-94e6-4b11aea1341d_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:label id="lab_dei_EntityFileNumber_label_en-US" xlink:label="lab_dei_EntityFileNumber" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_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/2026/ecd-2026.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_us-gaap_IncomeTaxExaminationTable_019f1937-220f-73a3-9f97-02b54c8b9b64_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeTaxExaminationTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Income Tax, Examination [Table]</link:label>
    <link:label id="lab_us-gaap_IncomeTaxExaminationTable_label_en-US" xlink:label="lab_us-gaap_IncomeTaxExaminationTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Income Tax, Examination [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExaminationTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxExaminationTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxExaminationTable" xlink:to="lab_us-gaap_IncomeTaxExaminationTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentOwnedAtFairValue_019f1937-2165-7c28-97db-ed3a817215de_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">Investment in BXINFRA U.S. at Fair Value (Cost $1,548,147,587 as of September 30, 2026 and $944,504,000 as of December 31, 2025)'</link:label>
    <link:label id="lab_us-gaap_InvestmentOwnedAtFairValue_019f1937-2165-7498-8959-2291a0bf14a7_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_019f1937-2165-7dcf-b532-3ea419616b4a_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentOwnedAtFairValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment in the Aggregator at Fair Value (Cost $5,529,842,979 as of September 30, 2026; $3,324,540 as of December 31, 2025)</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/2026/elts/us-gaap-2026.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_bxinfra_VariousMember_019f1937-2165-7ee5-9702-a9e498ea0bed_terseLabel_en-US" xlink:label="lab_bxinfra_VariousMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Various</link:label>
    <link:label id="lab_bxinfra_VariousMember_label_en-US" xlink:label="lab_bxinfra_VariousMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Various [Member]</link:label>
    <link:label id="lab_bxinfra_VariousMember_documentation_en-US" xlink:label="lab_bxinfra_VariousMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Various</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_VariousMember" xlink:href="bxinfra-20260930.xsd#bxinfra_VariousMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_VariousMember" xlink:to="lab_bxinfra_VariousMember" 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/2026/ecd-2026.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_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/2026/ecd-2026.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_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue_019f1937-220f-74dc-8403-f90ead1924bf_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">Balance, Beginning of Period</link:label>
    <link:label id="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue_019f1937-220f-7a70-9b24-daea98715182_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">Balance, 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/2026/elts/us-gaap-2026.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_bxinfra_DerivativeAssetsNotionalAmount_019f1937-2165-7cb3-975c-4a69b0073011_terseLabel_en-US" xlink:label="lab_bxinfra_DerivativeAssetsNotionalAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Assets, Notional</link:label>
    <link:label id="lab_bxinfra_DerivativeAssetsNotionalAmount_label_en-US" xlink:label="lab_bxinfra_DerivativeAssetsNotionalAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Assets Notional Amount</link:label>
    <link:label id="lab_bxinfra_DerivativeAssetsNotionalAmount_documentation_en-US" xlink:label="lab_bxinfra_DerivativeAssetsNotionalAmount" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Derivative assets notional amount.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DerivativeAssetsNotionalAmount" xlink:href="bxinfra-20260930.xsd#bxinfra_DerivativeAssetsNotionalAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeAssetsNotionalAmount" xlink:to="lab_bxinfra_DerivativeAssetsNotionalAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_BXINFRAWarehouseMember_019f1937-220f-70f4-aabb-ff016046e2fc_terseLabel_en-US" xlink:label="lab_bxinfra_BXINFRAWarehouseMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">BXINFRA Warehouse</link:label>
    <link:label id="lab_bxinfra_BXINFRAWarehouseMember_label_en-US" xlink:label="lab_bxinfra_BXINFRAWarehouseMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">BXINFRA Warehouse [Member]</link:label>
    <link:label id="lab_bxinfra_BXINFRAWarehouseMember_documentation_en-US" xlink:label="lab_bxinfra_BXINFRAWarehouseMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">BXINFRA warehouse .</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_BXINFRAWarehouseMember" xlink:href="bxinfra-20260930.xsd#bxinfra_BXINFRAWarehouseMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_BXINFRAWarehouseMember" xlink:to="lab_bxinfra_BXINFRAWarehouseMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_UnfundedInvestmentCommitments_019f1937-2165-7967-bf22-4fa73b9d25d3_terseLabel_en-US" xlink:label="lab_bxinfra_UnfundedInvestmentCommitments" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unfunded investment commitments</link:label>
    <link:label id="lab_bxinfra_UnfundedInvestmentCommitments_label_en-US" xlink:label="lab_bxinfra_UnfundedInvestmentCommitments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unfunded Investment Commitments</link:label>
    <link:label id="lab_bxinfra_UnfundedInvestmentCommitments_documentation_en-US" xlink:label="lab_bxinfra_UnfundedInvestmentCommitments" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Unfunded investment commitments.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_UnfundedInvestmentCommitments" xlink:href="bxinfra-20260930.xsd#bxinfra_UnfundedInvestmentCommitments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_UnfundedInvestmentCommitments" xlink:to="lab_bxinfra_UnfundedInvestmentCommitments" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherReceivableAfterAllowanceForCreditLossRelatedPartyTypeExtensibleEnumeration_019f1937-220f-7508-8a14-d47fdf1ea2f3_terseLabel_en-US" xlink:label="lab_us-gaap_OtherReceivableAfterAllowanceForCreditLossRelatedPartyTypeExtensibleEnumeration" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other Receivable, after Allowance for Credit Loss, Related Party [Extensible Enumeration]</link:label>
    <link:label id="lab_us-gaap_OtherReceivableAfterAllowanceForCreditLossRelatedPartyTypeExtensibleEnumeration_label_en-US" xlink:label="lab_us-gaap_OtherReceivableAfterAllowanceForCreditLossRelatedPartyTypeExtensibleEnumeration" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Receivable, after Allowance for Credit Loss, Related Party [Extensible Enumeration]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherReceivableAfterAllowanceForCreditLossRelatedPartyTypeExtensibleEnumeration" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherReceivableAfterAllowanceForCreditLossRelatedPartyTypeExtensibleEnumeration"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherReceivableAfterAllowanceForCreditLossRelatedPartyTypeExtensibleEnumeration" xlink:to="lab_us-gaap_OtherReceivableAfterAllowanceForCreditLossRelatedPartyTypeExtensibleEnumeration" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_AccruedAdministrationFees_019f1937-2165-7b4f-a8e6-af169e148dad_terseLabel_en-US" xlink:label="lab_bxinfra_AccruedAdministrationFees" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accrued administration fees</link:label>
    <link:label id="lab_bxinfra_AccruedAdministrationFees_label_en-US" xlink:label="lab_bxinfra_AccruedAdministrationFees" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Accrued Administration Fees</link:label>
    <link:label id="lab_bxinfra_AccruedAdministrationFees_documentation_en-US" xlink:label="lab_bxinfra_AccruedAdministrationFees" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Accrued administration fees.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_AccruedAdministrationFees" xlink:href="bxinfra-20260930.xsd#bxinfra_AccruedAdministrationFees"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AccruedAdministrationFees" xlink:to="lab_bxinfra_AccruedAdministrationFees" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInAccountsReceivable_019f1937-2210-789c-97c0-785b773240bc_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInAccountsReceivable" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Accounts Receivable</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInAccountsReceivable_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInAccountsReceivable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Accounts Receivable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsReceivable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInAccountsReceivable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInAccountsReceivable" xlink:to="lab_us-gaap_IncreaseDecreaseInAccountsReceivable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyMember_019f1937-220f-71ed-a763-91863c8cd357_terseLabel_en-US" xlink:label="lab_us-gaap_RelatedPartyMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related Party</link:label>
    <link:label id="lab_us-gaap_RelatedPartyMember_label_en-US" xlink:label="lab_us-gaap_RelatedPartyMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RelatedPartyMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RelatedPartyMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyMember" xlink:to="lab_us-gaap_RelatedPartyMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ClassDTEACCUnitsMember_019f1937-2165-7722-82f4-70efb3001dd9_terseLabel_en-US" xlink:label="lab_bxinfra_ClassDTEACCUnitsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Class D- TE-ACC Units</link:label>
    <link:label id="lab_bxinfra_ClassDTEACCUnitsMember_label_en-US" xlink:label="lab_bxinfra_ClassDTEACCUnitsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class D-TE-ACC Units [Member]</link:label>
    <link:label id="lab_bxinfra_ClassDTEACCUnitsMember_documentation_en-US" xlink:label="lab_bxinfra_ClassDTEACCUnitsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Class D-TE-ACC Units</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ClassDTEACCUnitsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ClassDTEACCUnitsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ClassDTEACCUnitsMember" xlink:to="lab_bxinfra_ClassDTEACCUnitsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeTaxesPaidNet_019f1937-220f-74e2-8940-52529e11bc96_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeTaxesPaidNet" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash Paid for Income Taxes</link:label>
    <link:label id="lab_us-gaap_IncomeTaxesPaidNet_label_en-US" xlink:label="lab_us-gaap_IncomeTaxesPaidNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Income Tax Paid, after Refund Received</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxesPaidNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxesPaidNet"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxesPaidNet" xlink:to="lab_us-gaap_IncomeTaxesPaidNet" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfCommonLimitedPartnersUnits_019f1937-2165-7547-9f97-daef37552729_terseLabel_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfCommonLimitedPartnersUnits" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Proceeds from Issuance of Units</link:label>
    <link:label id="lab_us-gaap_ProceedsFromIssuanceOfCommonLimitedPartnersUnits_label_en-US" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfCommonLimitedPartnersUnits" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds from Issuance of Common Limited Partners Units</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfCommonLimitedPartnersUnits" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProceedsFromIssuanceOfCommonLimitedPartnersUnits"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromIssuanceOfCommonLimitedPartnersUnits" xlink:to="lab_us-gaap_ProceedsFromIssuanceOfCommonLimitedPartnersUnits" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityInteractiveDataCurrent_019f1937-220f-70d6-bac8-f05cdd41a252_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:label id="lab_dei_EntityInteractiveDataCurrent_label_en-US" xlink:label="lab_dei_EntityInteractiveDataCurrent" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_VariableRateAxis_019f1937-220f-7ed8-82bf-09b61a4e8ed0_terseLabel_en-US" xlink:label="lab_us-gaap_VariableRateAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Variable Rate [Axis]</link:label>
    <link:label id="lab_us-gaap_VariableRateAxis_label_en-US" xlink:label="lab_us-gaap_VariableRateAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Variable Rate [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_VariableRateAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_VariableRateAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_VariableRateAxis" xlink:to="lab_us-gaap_VariableRateAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DeferredIncomeTaxLiabilitiesNet_019f1937-2210-7b0e-a275-472479182132_verboseLabel_en-US" xlink:label="lab_us-gaap_DeferredIncomeTaxLiabilitiesNet" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Deferred Tax Liabilities</link:label>
    <link:label id="lab_us-gaap_DeferredIncomeTaxLiabilitiesNet_019f1937-2210-72ec-a0a7-4f53ce3838fa_terseLabel_en-US" xlink:label="lab_us-gaap_DeferredIncomeTaxLiabilitiesNet" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deferred Tax Liabilities</link:label>
    <link:label id="lab_us-gaap_DeferredIncomeTaxLiabilitiesNet_label_en-US" xlink:label="lab_us-gaap_DeferredIncomeTaxLiabilitiesNet" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Income Tax Liabilities, Net</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredIncomeTaxLiabilitiesNet"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet" xlink:to="lab_us-gaap_DeferredIncomeTaxLiabilitiesNet" 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/2026/ecd-2026.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_LimitedLiabilityCompanyOrLimitedPartnershipBusinessOrganizationAndOperationsAbstract_label_en-US" xlink:label="lab_us-gaap_LimitedLiabilityCompanyOrLimitedPartnershipBusinessOrganizationAndOperationsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Limited Liability Company or Limited Partnership, Business Organization and Operations [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LimitedLiabilityCompanyOrLimitedPartnershipBusinessOrganizationAndOperationsAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LimitedLiabilityCompanyOrLimitedPartnershipBusinessOrganizationAndOperationsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LimitedLiabilityCompanyOrLimitedPartnershipBusinessOrganizationAndOperationsAbstract" xlink:to="lab_us-gaap_LimitedLiabilityCompanyOrLimitedPartnershipBusinessOrganizationAndOperationsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits_019f1937-220f-7e65-be99-9f5e9969dee5_terseLabel_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Conversion of Units Between Classes or Series (in shares)</link:label>
    <link:label id="lab_us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits_label_en-US" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stock Issued During Period, Shares, Conversion of Units</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits" xlink:to="lab_us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntitySmallBusiness_019f1937-220f-7923-82d2-e372d9440591_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:label id="lab_dei_EntitySmallBusiness_label_en-US" xlink:label="lab_dei_EntitySmallBusiness" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_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/2026/ecd-2026.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_bxinfra_NotionalMember_019f1937-2165-70cc-84fc-e6e75feb848a_terseLabel_en-US" xlink:label="lab_bxinfra_NotionalMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Notional</link:label>
    <link:label id="lab_bxinfra_NotionalMember_label_en-US" xlink:label="lab_bxinfra_NotionalMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Notional [Member]</link:label>
    <link:label id="lab_bxinfra_NotionalMember_documentation_en-US" xlink:label="lab_bxinfra_NotionalMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Notional [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_NotionalMember" xlink:href="bxinfra-20260930.xsd#bxinfra_NotionalMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_NotionalMember" xlink:to="lab_bxinfra_NotionalMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ClassISeriesIIUnitsMember_019f1937-2165-77f6-b039-b761fb7acdf1_verboseLabel_en-US" xlink:label="lab_bxinfra_ClassISeriesIIUnitsMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Class I Series II Units</link:label>
    <link:label id="lab_bxinfra_ClassISeriesIIUnitsMember_019f1937-2165-7e87-a911-ba539420f111_terseLabel_en-US" xlink:label="lab_bxinfra_ClassISeriesIIUnitsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Series II Units</link:label>
    <link:label id="lab_bxinfra_ClassISeriesIIUnitsMember_label_en-US" xlink:label="lab_bxinfra_ClassISeriesIIUnitsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class I Series II Units [Member]</link:label>
    <link:label id="lab_bxinfra_ClassISeriesIIUnitsMember_documentation_en-US" xlink:label="lab_bxinfra_ClassISeriesIIUnitsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Class I Series II Units</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ClassISeriesIIUnitsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ClassISeriesIIUnitsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ClassISeriesIIUnitsMember" xlink:to="lab_bxinfra_ClassISeriesIIUnitsMember" 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/2026/elts/us-gaap-2026.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_bxinfra_TransportationInfrastructureMember_019f1937-220f-72b8-87fb-27bf281b0af7_terseLabel_en-US" xlink:label="lab_bxinfra_TransportationInfrastructureMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transportation Infrastructure</link:label>
    <link:label id="lab_bxinfra_TransportationInfrastructureMember_label_en-US" xlink:label="lab_bxinfra_TransportationInfrastructureMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Transportation Infrastructure [Member]</link:label>
    <link:label id="lab_bxinfra_TransportationInfrastructureMember_documentation_en-US" xlink:label="lab_bxinfra_TransportationInfrastructureMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Transportation Infrastructure</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_TransportationInfrastructureMember" xlink:href="bxinfra-20260930.xsd#bxinfra_TransportationInfrastructureMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_TransportationInfrastructureMember" xlink:to="lab_bxinfra_TransportationInfrastructureMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_019f1937-220f-7a2b-a4da-047ce284bcea_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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.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_us-gaap_DistributionPayable_01a08940-8466-7cff-8417-ac433ed6145b_netLabel_en-US" xlink:label="lab_us-gaap_DistributionPayable" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:type="resource" xml:lang="en-US">Distributions Payable</link:label>
    <link:label id="lab_us-gaap_DistributionPayable_019f1937-220f-7335-b6ac-f85ed250b6ac_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">Distributions Payable</link:label>
    <link:label id="lab_us-gaap_DistributionPayable_019f1937-220f-7f51-866a-857fedab3ae5_terseLabel_en-US" xlink:label="lab_us-gaap_DistributionPayable" 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_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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.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_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity_019f1937-220f-7869-acbe-bc80413ad6f9_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</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/2026/elts/us-gaap-2026.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_LineOfCreditFacilityLenderDomain_019f1937-2210-75cf-8874-8e7a367ccc9d_terseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityLenderDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Lender [Domain]</link:label>
    <link:label id="lab_us-gaap_LineOfCreditFacilityLenderDomain_label_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityLenderDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Lender [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityLenderDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityLenderDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityLenderDomain" xlink:to="lab_us-gaap_LineOfCreditFacilityLenderDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentType_019f1937-220f-7b90-8a32-b733c1ef767b_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:label id="lab_dei_DocumentType_label_en-US" xlink:label="lab_dei_DocumentType" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_019f1937-220f-76d2-94dc-227339228125_terseLabel_en-US" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]</link:label>
    <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/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:to="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" 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/2026/ecd-2026.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_us-gaap_NetAssetValuePerShare_019f1937-2165-700f-9aad-e4968e97a6b1_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 dollars per share)</link:label>
    <link:label id="lab_us-gaap_NetAssetValuePerShare_019f1937-2165-7243-a0f3-b91ccb35fb68_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 dollars per share)</link:label>
    <link:label id="lab_us-gaap_NetAssetValuePerShare_019f1937-2165-7dfe-8fa6-8056a57f0856_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 dollars per share)</link:label>
    <link:label id="lab_us-gaap_NetAssetValuePerShare_label_en-US" xlink:label="lab_us-gaap_NetAssetValuePerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Asset Value Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetAssetValuePerShare" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.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_us-gaap_SignificantAccountingPoliciesTextBlock_019f1937-220f-75b8-8fbb-904daeece6bc_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">Summary of 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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.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_us-gaap_OpenSwapContractIdentifierAxis_01a1c122-26c5-704c-8cfd-353ceca75b47_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/2026/elts/us-gaap-2026.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_us-gaap_CashAndCashEquivalentsMember_019f1937-2165-7af3-82c6-6f49dc530024_terseLabel_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsMember" 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_CashAndCashEquivalentsMember_label_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash and Cash Equivalents [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashAndCashEquivalentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashAndCashEquivalentsMember" xlink:to="lab_us-gaap_CashAndCashEquivalentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ClassISeriesIUnitsMember_019f3629-7775-7ec6-b4e6-ebd73b629d2a_verboseLabel_en-US" xlink:label="lab_bxinfra_ClassISeriesIUnitsMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Class I Series I Units</link:label>
    <link:label id="lab_bxinfra_ClassISeriesIUnitsMember_019f1937-2165-7c87-8c5d-2148503091de_terseLabel_en-US" xlink:label="lab_bxinfra_ClassISeriesIUnitsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Series I Units</link:label>
    <link:label id="lab_bxinfra_ClassISeriesIUnitsMember_label_en-US" xlink:label="lab_bxinfra_ClassISeriesIUnitsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class I-Series I Units [Member]</link:label>
    <link:label id="lab_bxinfra_ClassISeriesIUnitsMember_documentation_en-US" xlink:label="lab_bxinfra_ClassISeriesIUnitsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Class I-Series I Units</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ClassISeriesIUnitsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ClassISeriesIUnitsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ClassISeriesIUnitsMember" xlink:to="lab_bxinfra_ClassISeriesIUnitsMember" xlink:type="arc" order="1"/>
    <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>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_TrdArrDuration" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_TrdArrDuration"/>
    <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_SubsequentEventLineItems_019f1937-2165-7528-82c4-0711677836ce_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/2026/elts/us-gaap-2026.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_us-gaap_StatementOfStockholdersEquityAbstract_label_en-US" xlink:label="lab_us-gaap_StatementOfStockholdersEquityAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statement of Stockholders' Equity [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOfStockholdersEquityAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementOfStockholdersEquityAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementOfStockholdersEquityAbstract" xlink:to="lab_us-gaap_StatementOfStockholdersEquityAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_UncommittedLineOfCreditAgreementMember_019f1937-220f-7ff7-9b81-8ba17718ab87_terseLabel_en-US" xlink:label="lab_bxinfra_UncommittedLineOfCreditAgreementMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Uncommitted Line Of Credit Agreement</link:label>
    <link:label id="lab_bxinfra_UncommittedLineOfCreditAgreementMember_label_en-US" xlink:label="lab_bxinfra_UncommittedLineOfCreditAgreementMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Uncommitted Line Of Credit Agreement [Member]</link:label>
    <link:label id="lab_bxinfra_UncommittedLineOfCreditAgreementMember_documentation_en-US" xlink:label="lab_bxinfra_UncommittedLineOfCreditAgreementMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Uncommitted Line Of Credit Agreement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_UncommittedLineOfCreditAgreementMember" xlink:href="bxinfra-20260930.xsd#bxinfra_UncommittedLineOfCreditAgreementMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_UncommittedLineOfCreditAgreementMember" xlink:to="lab_bxinfra_UncommittedLineOfCreditAgreementMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_PercentageOfListingInvestmentOfAggregator_019f1937-2166-7fa7-8eb3-e148b3bed360_terseLabel_en-US" xlink:label="lab_bxinfra_PercentageOfListingInvestmentOfAggregator" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage of listing investment of the aggregator</link:label>
    <link:label id="lab_bxinfra_PercentageOfListingInvestmentOfAggregator_label_en-US" xlink:label="lab_bxinfra_PercentageOfListingInvestmentOfAggregator" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Percentage of Listing Investment of Aggregator</link:label>
    <link:label id="lab_bxinfra_PercentageOfListingInvestmentOfAggregator_documentation_en-US" xlink:label="lab_bxinfra_PercentageOfListingInvestmentOfAggregator" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Percentage of listing Investment of the aggregator.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_PercentageOfListingInvestmentOfAggregator" xlink:href="bxinfra-20260930.xsd#bxinfra_PercentageOfListingInvestmentOfAggregator"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PercentageOfListingInvestmentOfAggregator" xlink:to="lab_bxinfra_PercentageOfListingInvestmentOfAggregator" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_OtherSignificantNoncashTransactionPaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction_019f1937-220f-7971-b7ec-97ef67dcf50e_terseLabel_en-US" xlink:label="lab_bxinfra_OtherSignificantNoncashTransactionPaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Redemptions Payable, Net of Early Redemption Deduction</link:label>
    <link:label id="lab_bxinfra_OtherSignificantNoncashTransactionPaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction_019f3710-1851-7c80-a132-2b54e27cb50c_verboseLabel_en-US" xlink:label="lab_bxinfra_OtherSignificantNoncashTransactionPaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Redemptions Payable</link:label>
    <link:label id="lab_bxinfra_OtherSignificantNoncashTransactionPaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction_label_en-US" xlink:label="lab_bxinfra_OtherSignificantNoncashTransactionPaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Significant Noncash Transaction, Payments For Repurchase Of Units Net Of Early Repurchase Deduction</link:label>
    <link:label id="lab_bxinfra_OtherSignificantNoncashTransactionPaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction_documentation_en-US" xlink:label="lab_bxinfra_OtherSignificantNoncashTransactionPaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Other Significant Noncash Transaction, Payments For Repurchase Of Units Net Of Early Repurchase Deduction</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_OtherSignificantNoncashTransactionPaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:href="bxinfra-20260930.xsd#bxinfra_OtherSignificantNoncashTransactionPaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_OtherSignificantNoncashTransactionPaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:to="lab_bxinfra_OtherSignificantNoncashTransactionPaymentsForRepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_LocalPhoneNumber_019f1937-2166-7d36-ac77-d2b78d0518fe_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:label id="lab_dei_LocalPhoneNumber_label_en-US" xlink:label="lab_dei_LocalPhoneNumber" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_bxinfra_BXINFRAU.S.Member_019f1937-220f-7d23-a4a1-1733bfcdb237_terseLabel_en-US" xlink:label="lab_bxinfra_BXINFRAU.S.Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">BXINFRA U.S.</link:label>
    <link:label id="lab_bxinfra_BXINFRAU.S.Member_label_en-US" xlink:label="lab_bxinfra_BXINFRAU.S.Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">BXINFRA U.S. [Member]</link:label>
    <link:label id="lab_bxinfra_BXINFRAU.S.Member_documentation_en-US" xlink:label="lab_bxinfra_BXINFRAU.S.Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">BXINFRA U.S.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_BXINFRAU.S.Member" xlink:href="bxinfra-20260930.xsd#bxinfra_BXINFRAU.S.Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_BXINFRAU.S.Member" xlink:to="lab_bxinfra_BXINFRAU.S.Member" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityAddressPostalZipCode_019f1937-220f-70b4-a7be-5d45e7674fa4_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:label id="lab_dei_EntityAddressPostalZipCode_label_en-US" xlink:label="lab_dei_EntityAddressPostalZipCode" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_dei_EntityRegistrantName_019f1937-220f-7d15-9985-0a10577fa6cc_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:label id="lab_dei_EntityRegistrantName_label_en-US" xlink:label="lab_dei_EntityRegistrantName" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_bxinfra_EquityMethodInvestmentSummarizedFinancialInformationTableTextBlock_019f1937-2165-7894-9bcc-d4b943034aa5_terseLabel_en-US" xlink:label="lab_bxinfra_EquityMethodInvestmentSummarizedFinancialInformationTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Valuation of Aggregator's Investments</link:label>
    <link:label id="lab_bxinfra_EquityMethodInvestmentSummarizedFinancialInformationTableTextBlock_label_en-US" xlink:label="lab_bxinfra_EquityMethodInvestmentSummarizedFinancialInformationTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Method Investment Summarized Financial Information [Table Text Block]</link:label>
    <link:label id="lab_bxinfra_EquityMethodInvestmentSummarizedFinancialInformationTableTextBlock_documentation_en-US" xlink:label="lab_bxinfra_EquityMethodInvestmentSummarizedFinancialInformationTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Equity method investment summarized financial information.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_EquityMethodInvestmentSummarizedFinancialInformationTableTextBlock" xlink:href="bxinfra-20260930.xsd#bxinfra_EquityMethodInvestmentSummarizedFinancialInformationTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_EquityMethodInvestmentSummarizedFinancialInformationTableTextBlock" xlink:to="lab_bxinfra_EquityMethodInvestmentSummarizedFinancialInformationTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherAmortizationOfDeferredCharges_019f1937-220f-7b78-8e73-94a9df12febe_terseLabel_en-US" xlink:label="lab_us-gaap_OtherAmortizationOfDeferredCharges" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deferred Costs Amortization</link:label>
    <link:label id="lab_us-gaap_OtherAmortizationOfDeferredCharges_label_en-US" xlink:label="lab_us-gaap_OtherAmortizationOfDeferredCharges" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Amortization of Other Deferred Charges</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherAmortizationOfDeferredCharges" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherAmortizationOfDeferredCharges"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherAmortizationOfDeferredCharges" xlink:to="lab_us-gaap_OtherAmortizationOfDeferredCharges" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DistributionTypeDomain_019f1937-2165-75a6-8565-90914bed0d89_terseLabel_en-US" xlink:label="lab_us-gaap_DistributionTypeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distribution Type [Domain]</link:label>
    <link:label id="lab_us-gaap_DistributionTypeDomain_label_en-US" xlink:label="lab_us-gaap_DistributionTypeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Distribution Type [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DistributionTypeDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DistributionTypeDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DistributionTypeDomain" xlink:to="lab_us-gaap_DistributionTypeDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodDomain_019f1937-2165-77d0-93be-32a2acfb5405_terseLabel_en-US" xlink:label="lab_us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Repurchase Agreements and Similar Transactions, Maturity Periods [Domain]</link:label>
    <link:label id="lab_us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodDomain_label_en-US" xlink:label="lab_us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Repurchase Agreements and Similar Transactions, Maturity Periods [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodDomain" xlink:to="lab_us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PledgedStatusDomain_019f1937-220f-7a6d-ba1e-fe972bc22edb_terseLabel_en-US" xlink:label="lab_us-gaap_PledgedStatusDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Pledged Status [Domain]</link:label>
    <link:label id="lab_us-gaap_PledgedStatusDomain_label_en-US" xlink:label="lab_us-gaap_PledgedStatusDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Pledged Status [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PledgedStatusDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PledgedStatusDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PledgedStatusDomain" xlink:to="lab_us-gaap_PledgedStatusDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_WarehousingFeesWaived_019f1937-2165-79d0-ade1-7ab4aa6bf390_negatedLabel_en-US" xlink:label="lab_bxinfra_WarehousingFeesWaived" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Warehousing Fees Waived</link:label>
    <link:label id="lab_bxinfra_WarehousingFeesWaived_label_en-US" xlink:label="lab_bxinfra_WarehousingFeesWaived" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Warehousing Fees Waived</link:label>
    <link:label id="lab_bxinfra_WarehousingFeesWaived_documentation_en-US" xlink:label="lab_bxinfra_WarehousingFeesWaived" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Warehousing fees waived.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_WarehousingFeesWaived" xlink:href="bxinfra-20260930.xsd#bxinfra_WarehousingFeesWaived"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_WarehousingFeesWaived" xlink:to="lab_bxinfra_WarehousingFeesWaived" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_019f1937-2165-701c-8e23-9334fe22bfb9_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Investment Income (Loss) Before Provision for (Benefit of) Taxes</link:label>
    <link:label id="lab_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_label_en-US" xlink:label="lab_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest" xlink:to="lab_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest" 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/2026/ecd-2026.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_bxinfra_FirstUnusedAmountMember_019f1937-220f-706a-a628-b018b80d686b_terseLabel_en-US" xlink:label="lab_bxinfra_FirstUnusedAmountMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">First Unused Amount</link:label>
    <link:label id="lab_bxinfra_FirstUnusedAmountMember_label_en-US" xlink:label="lab_bxinfra_FirstUnusedAmountMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">First Unused Amount [Member]</link:label>
    <link:label id="lab_bxinfra_FirstUnusedAmountMember_documentation_en-US" xlink:label="lab_bxinfra_FirstUnusedAmountMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">First unused amount.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_FirstUnusedAmountMember" xlink:href="bxinfra-20260930.xsd#bxinfra_FirstUnusedAmountMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_FirstUnusedAmountMember" xlink:to="lab_bxinfra_FirstUnusedAmountMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CommitmentsAndContingencies_019f1937-2165-7f31-a63f-a83545624c56_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</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/2026/elts/us-gaap-2026.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_ecd_ChangedPeerGroupFnTextBlock_terseLabel_en-US" xlink:label="lab_ecd_ChangedPeerGroupFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Changed Peer Group, Footnote</link:label>
    <link:label id="lab_ecd_ChangedPeerGroupFnTextBlock_label_en-US" xlink:label="lab_ecd_ChangedPeerGroupFnTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Changed Peer Group, Footnote [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_ChangedPeerGroupFnTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.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_us-gaap_DeferredCostsAndOtherAssets_019f1937-220f-711e-9a9a-8c25da58b8e7_terseLabel_en-US" xlink:label="lab_us-gaap_DeferredCostsAndOtherAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deferred Assets</link:label>
    <link:label id="lab_us-gaap_DeferredCostsAndOtherAssets_label_en-US" xlink:label="lab_us-gaap_DeferredCostsAndOtherAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Costs and Other Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredCostsAndOtherAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredCostsAndOtherAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredCostsAndOtherAssets" xlink:to="lab_us-gaap_DeferredCostsAndOtherAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities_019f1937-220f-7d01-847e-64b2a7d2d6ee_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accounts Payable, Accrued Expenses, and Other Liabilities</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Accounts Payable and Accrued Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities" xlink:to="lab_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities" 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/2026/ecd-2026.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_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/2026/ecd-2026.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_bxinfra_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredNotProvidedFairValueAmount_019f1937-220f-7920-be12-abfdb53b8bdd_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredNotProvidedFairValueAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value</link:label>
    <link:label id="lab_bxinfra_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredNotProvidedFairValueAmount_label_en-US" xlink:label="lab_bxinfra_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredNotProvidedFairValueAmount" 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, Fair Value, Amount</link:label>
    <link:label id="lab_bxinfra_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredNotProvidedFairValueAmount_documentation_en-US" xlink:label="lab_bxinfra_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredNotProvidedFairValueAmount" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Company, Financial Support to Investee Contractually Required, Not Provided, Fair Value, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredNotProvidedFairValueAmount" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredNotProvidedFairValueAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredNotProvidedFairValueAmount" xlink:to="lab_bxinfra_InvestmentCompanyFinancialSupportToInvesteeContractuallyRequiredNotProvidedFairValueAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_RedemptionsReceivable_01a0893f-dc29-7555-87d1-8a721bb4a5e2_verboseLabel_en-US" xlink:label="lab_bxinfra_RedemptionsReceivable" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Redemptions Receivable</link:label>
    <link:label id="lab_bxinfra_RedemptionsReceivable_019f1937-2165-7960-888a-89f014636e75_terseLabel_en-US" xlink:label="lab_bxinfra_RedemptionsReceivable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Redemptions Receivable</link:label>
    <link:label id="lab_bxinfra_RedemptionsReceivable_label_en-US" xlink:label="lab_bxinfra_RedemptionsReceivable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Redemptions Receivable</link:label>
    <link:label id="lab_bxinfra_RedemptionsReceivable_documentation_en-US" xlink:label="lab_bxinfra_RedemptionsReceivable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Redemptions&#160;receivable.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_RedemptionsReceivable" xlink:href="bxinfra-20260930.xsd#bxinfra_RedemptionsReceivable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_RedemptionsReceivable" xlink:to="lab_bxinfra_RedemptionsReceivable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInDeferredLiabilities_019f1937-220f-713e-b594-5dfda75c2657_verboseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInDeferredLiabilities" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Deferred Tax Liabilities</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInDeferredLiabilities_019f1937-220f-7957-934a-8f8d9fa170fb_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInDeferredLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deferred Tax Liabilities</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInDeferredLiabilities_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInDeferredLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Deferred Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInDeferredLiabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInDeferredLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInDeferredLiabilities" xlink:to="lab_us-gaap_IncreaseDecreaseInDeferredLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_AssetNotPledgedAsCollateralMember_019f1937-2165-7242-ba28-8285f69beda0_terseLabel_en-US" xlink:label="lab_us-gaap_AssetNotPledgedAsCollateralMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unpledged</link:label>
    <link:label id="lab_us-gaap_AssetNotPledgedAsCollateralMember_label_en-US" xlink:label="lab_us-gaap_AssetNotPledgedAsCollateralMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Asset Not Pledged as Collateral [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetNotPledgedAsCollateralMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AssetNotPledgedAsCollateralMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetNotPledgedAsCollateralMember" xlink:to="lab_us-gaap_AssetNotPledgedAsCollateralMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LiabilitiesAndStockholdersEquityAbstract_019f1937-2165-7a3b-8834-0fef8e2770d8_terseLabel_en-US" xlink:label="lab_us-gaap_LiabilitiesAndStockholdersEquityAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Liabilities and Net Assets</link:label>
    <link:label id="lab_us-gaap_LiabilitiesAndStockholdersEquityAbstract_019f1937-2165-75c3-aeae-8670d737bc8f_verboseLabel_en-US" xlink:label="lab_us-gaap_LiabilitiesAndStockholdersEquityAbstract" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Liabilities and Net Assets</link:label>
    <link:label id="lab_us-gaap_LiabilitiesAndStockholdersEquityAbstract_label_en-US" xlink:label="lab_us-gaap_LiabilitiesAndStockholdersEquityAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Liabilities and Equity [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LiabilitiesAndStockholdersEquityAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract" xlink:to="lab_us-gaap_LiabilitiesAndStockholdersEquityAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_RepurchaseAgreements_019f1937-2210-7fff-ad2d-973d0ac4b331_terseLabel_en-US" xlink:label="lab_bxinfra_RepurchaseAgreements" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Repurchase Agreements</link:label>
    <link:label id="lab_bxinfra_RepurchaseAgreements_label_en-US" xlink:label="lab_bxinfra_RepurchaseAgreements" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Repurchase Agreements</link:label>
    <link:label id="lab_bxinfra_RepurchaseAgreements_documentation_en-US" xlink:label="lab_bxinfra_RepurchaseAgreements" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Repurchase agreements.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_RepurchaseAgreements" xlink:href="bxinfra-20260930.xsd#bxinfra_RepurchaseAgreements"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_RepurchaseAgreements" xlink:to="lab_bxinfra_RepurchaseAgreements" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_AccruedServicingFees_019f1937-220f-7f11-86f3-1e057870a559_terseLabel_en-US" xlink:label="lab_bxinfra_AccruedServicingFees" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accrued Servicing Fees</link:label>
    <link:label id="lab_bxinfra_AccruedServicingFees_label_en-US" xlink:label="lab_bxinfra_AccruedServicingFees" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Accrued Servicing Fees</link:label>
    <link:label id="lab_bxinfra_AccruedServicingFees_documentation_en-US" xlink:label="lab_bxinfra_AccruedServicingFees" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Accrued Servicing Fees</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_AccruedServicingFees" xlink:href="bxinfra-20260930.xsd#bxinfra_AccruedServicingFees"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AccruedServicingFees" xlink:to="lab_bxinfra_AccruedServicingFees" 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/2026/elts/us-gaap-2026.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_bxinfra_InvestmentOwnedMoneyMarketFundsAndDerivativesPercentOfNetAssets_01a1c2b9-7e86-7cb9-8841-1ba4fe456482_totalLabel_en-US" xlink:label="lab_bxinfra_InvestmentOwnedMoneyMarketFundsAndDerivativesPercentOfNetAssets" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Investments, Investments in Affiliated Investee Funds, Cash and Cash Equivalents and Derivative Instruments, Fair Value as a Percentage of Net Assets</link:label>
    <link:label id="lab_bxinfra_InvestmentOwnedMoneyMarketFundsAndDerivativesPercentOfNetAssets_label_en-US" xlink:label="lab_bxinfra_InvestmentOwnedMoneyMarketFundsAndDerivativesPercentOfNetAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Owned, Money Market Funds, And Derivatives, Percent Of Net Assets</link:label>
    <link:label id="lab_bxinfra_InvestmentOwnedMoneyMarketFundsAndDerivativesPercentOfNetAssets_documentation_en-US" xlink:label="lab_bxinfra_InvestmentOwnedMoneyMarketFundsAndDerivativesPercentOfNetAssets" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Owned, Money Market Funds, And Derivatives, Percent Of Net Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentOwnedMoneyMarketFundsAndDerivativesPercentOfNetAssets" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentOwnedMoneyMarketFundsAndDerivativesPercentOfNetAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentOwnedMoneyMarketFundsAndDerivativesPercentOfNetAssets" xlink:to="lab_bxinfra_InvestmentOwnedMoneyMarketFundsAndDerivativesPercentOfNetAssets" 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/2026/ecd-2026.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_bxinfra_TechnologyMediaAndEntertainmentMember_019f1937-220f-7fbc-9be6-3e04ee23e0d5_terseLabel_en-US" xlink:label="lab_bxinfra_TechnologyMediaAndEntertainmentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Technology, Media and Entertainment</link:label>
    <link:label id="lab_bxinfra_TechnologyMediaAndEntertainmentMember_label_en-US" xlink:label="lab_bxinfra_TechnologyMediaAndEntertainmentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Technology, Media and Entertainment [Member]</link:label>
    <link:label id="lab_bxinfra_TechnologyMediaAndEntertainmentMember_documentation_en-US" xlink:label="lab_bxinfra_TechnologyMediaAndEntertainmentMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Technology, Media and Entertainment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_TechnologyMediaAndEntertainmentMember" xlink:href="bxinfra-20260930.xsd#bxinfra_TechnologyMediaAndEntertainmentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_TechnologyMediaAndEntertainmentMember" xlink:to="lab_bxinfra_TechnologyMediaAndEntertainmentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DistributionMadeToLimitedPartnerDistributionsDeclaredPerUnit_019f1937-220f-7dfa-9996-0cdde5a03f4d_terseLabel_en-US" xlink:label="lab_us-gaap_DistributionMadeToLimitedPartnerDistributionsDeclaredPerUnit" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distributions per unit (in dollars per share)</link:label>
    <link:label id="lab_us-gaap_DistributionMadeToLimitedPartnerDistributionsDeclaredPerUnit_label_en-US" xlink:label="lab_us-gaap_DistributionMadeToLimitedPartnerDistributionsDeclaredPerUnit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Distribution Made to Limited Partner, Distributions Declared, Per Unit</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DistributionMadeToLimitedPartnerDistributionsDeclaredPerUnit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DistributionMadeToLimitedPartnerDistributionsDeclaredPerUnit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DistributionMadeToLimitedPartnerDistributionsDeclaredPerUnit" xlink:to="lab_us-gaap_DistributionMadeToLimitedPartnerDistributionsDeclaredPerUnit" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueDisclosuresTextBlock_019f1937-220f-7751-ac2d-17aa575a184d_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">Investments and Fair Value Measurement</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/2026/elts/us-gaap-2026.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_FairValueInputsLevel3Member_019f1937-220f-75f8-8c18-e842c5ff71f8_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 III</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/2026/elts/us-gaap-2026.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_AssetPledgedAsCollateralMember_019f1937-220f-7dd4-b120-72ef832d74bd_terseLabel_en-US" xlink:label="lab_us-gaap_AssetPledgedAsCollateralMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Pledged to Counterparties</link:label>
    <link:label id="lab_us-gaap_AssetPledgedAsCollateralMember_label_en-US" xlink:label="lab_us-gaap_AssetPledgedAsCollateralMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Asset Pledged as Collateral [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetPledgedAsCollateralMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AssetPledgedAsCollateralMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetPledgedAsCollateralMember" xlink:to="lab_us-gaap_AssetPledgedAsCollateralMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SupplementalCashFlowInformationAbstract_019f1937-2165-7def-afee-8291a94efecf_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 Disclosure of Cash Flows 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/2026/elts/us-gaap-2026.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_CommonStockSharesAuthorizedUnlimited_019f1937-2165-7845-8597-163a7ebf94c1_terseLabel_en-US" xlink:label="lab_us-gaap_CommonStockSharesAuthorizedUnlimited" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Common Stock, Shares Authorized, Unlimited [Fixed List]</link:label>
    <link:label id="lab_us-gaap_CommonStockSharesAuthorizedUnlimited_label_en-US" xlink:label="lab_us-gaap_CommonStockSharesAuthorizedUnlimited" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Common Stock, Shares Authorized, Unlimited [Fixed List]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockSharesAuthorizedUnlimited" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockSharesAuthorizedUnlimited"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockSharesAuthorizedUnlimited" xlink:to="lab_us-gaap_CommonStockSharesAuthorizedUnlimited" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ReportedSecuritiesPledgedAsCollateralAtFairvalue_019f1937-2165-70e4-8015-22fdd5a9889f_terseLabel_en-US" xlink:label="lab_bxinfra_ReportedSecuritiesPledgedAsCollateralAtFairvalue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments pledged as collateral</link:label>
    <link:label id="lab_bxinfra_ReportedSecuritiesPledgedAsCollateralAtFairvalue_label_en-US" xlink:label="lab_bxinfra_ReportedSecuritiesPledgedAsCollateralAtFairvalue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Reported Securities Pledged As Collateral At FairValue</link:label>
    <link:label id="lab_bxinfra_ReportedSecuritiesPledgedAsCollateralAtFairvalue_documentation_en-US" xlink:label="lab_bxinfra_ReportedSecuritiesPledgedAsCollateralAtFairvalue" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Reported securities pledged as collateral at fair value.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ReportedSecuritiesPledgedAsCollateralAtFairvalue" xlink:href="bxinfra-20260930.xsd#bxinfra_ReportedSecuritiesPledgedAsCollateralAtFairvalue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ReportedSecuritiesPledgedAsCollateralAtFairvalue" xlink:to="lab_bxinfra_ReportedSecuritiesPledgedAsCollateralAtFairvalue" 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/2026/ecd-2026.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_srt_StatementGeographicalAxis_019f1937-220f-7353-8060-d2c5e8e1424f_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/2026/elts/srt-2026.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_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember_019f1937-220f-7739-a059-92e6c4eed022_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/2026/elts/us-gaap-2026.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_InvestmentIssuerAffiliationAxis_019f1937-220f-7335-a2b0-74777ae5959d_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/2026/elts/us-gaap-2026.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_bxinfra_ClassISeriesITEUnitsMember_019f1937-2165-7d9e-b4c3-d61804ae2912_terseLabel_en-US" xlink:label="lab_bxinfra_ClassISeriesITEUnitsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Series I-TE Units</link:label>
    <link:label id="lab_bxinfra_ClassISeriesITEUnitsMember_label_en-US" xlink:label="lab_bxinfra_ClassISeriesITEUnitsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class I Series I-TE Units [Member]</link:label>
    <link:label id="lab_bxinfra_ClassISeriesITEUnitsMember_documentation_en-US" xlink:label="lab_bxinfra_ClassISeriesITEUnitsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Class I-TE Series I Units</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ClassISeriesITEUnitsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ClassISeriesITEUnitsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ClassISeriesITEUnitsMember" xlink:to="lab_bxinfra_ClassISeriesITEUnitsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeTaxesPaid_019f1937-2165-7975-b561-aa2ab469d0fe_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeTaxesPaid" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash Paid for Income Taxes</link:label>
    <link:label id="lab_us-gaap_IncomeTaxesPaid_label_en-US" xlink:label="lab_us-gaap_IncomeTaxesPaid" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Income Tax Paid, before Refund Received</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxesPaid" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxesPaid"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxesPaid" xlink:to="lab_us-gaap_IncomeTaxesPaid" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LineOfCreditFacilityInterestRateDuringPeriod_019f1937-220f-76a6-81aa-bab3543f0ee4_terseLabel_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityInterestRateDuringPeriod" 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_LineOfCreditFacilityInterestRateDuringPeriod_label_en-US" xlink:label="lab_us-gaap_LineOfCreditFacilityInterestRateDuringPeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Interest Rate During Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LineOfCreditFacilityInterestRateDuringPeriod" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LineOfCreditFacilityInterestRateDuringPeriod"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityInterestRateDuringPeriod" xlink:to="lab_us-gaap_LineOfCreditFacilityInterestRateDuringPeriod" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_WaterAndWasteMember_01a19bd0-f7af-76fd-bb5d-53fb0ff980ca_terseLabel_en-US" xlink:label="lab_bxinfra_WaterAndWasteMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Water And Waste</link:label>
    <link:label id="lab_bxinfra_WaterAndWasteMember_label_en-US" xlink:label="lab_bxinfra_WaterAndWasteMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Water And Waste [Member]</link:label>
    <link:label id="lab_bxinfra_WaterAndWasteMember_documentation_en-US" xlink:label="lab_bxinfra_WaterAndWasteMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Water And Waste</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_WaterAndWasteMember" xlink:href="bxinfra-20260930.xsd#bxinfra_WaterAndWasteMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_WaterAndWasteMember" xlink:to="lab_bxinfra_WaterAndWasteMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_AdministrationFeePayable_019f1937-2166-75b9-ba4e-ad3b72ebc444_terseLabel_en-US" xlink:label="lab_bxinfra_AdministrationFeePayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Administration fee payable</link:label>
    <link:label id="lab_bxinfra_AdministrationFeePayable_label_en-US" xlink:label="lab_bxinfra_AdministrationFeePayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Administration Fee Payable</link:label>
    <link:label id="lab_bxinfra_AdministrationFeePayable_documentation_en-US" xlink:label="lab_bxinfra_AdministrationFeePayable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Administration Fee Payable.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_AdministrationFeePayable" xlink:href="bxinfra-20260930.xsd#bxinfra_AdministrationFeePayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AdministrationFeePayable" xlink:to="lab_bxinfra_AdministrationFeePayable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OtherAssets_01a19b9e-832a-7556-9ef0-508333284cb0_verboseLabel_en-US" xlink:label="lab_us-gaap_OtherAssets" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Other Assets</link:label>
    <link:label id="lab_us-gaap_OtherAssets_019f1937-2165-75f8-b807-53d87bbf7888_terseLabel_en-US" xlink:label="lab_us-gaap_OtherAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest and Dividend Receivable and Other Assets</link:label>
    <link:label id="lab_us-gaap_OtherAssets_label_en-US" xlink:label="lab_us-gaap_OtherAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherAssets" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherAssets" xlink:to="lab_us-gaap_OtherAssets" 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/2026/ecd-2026.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_dei_EntityTaxIdentificationNumber_019f1937-220f-7c1b-a903-cbe1e11a4d15_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:label id="lab_dei_EntityTaxIdentificationNumber_label_en-US" xlink:label="lab_dei_EntityTaxIdentificationNumber" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_OtherLiabilityRelatedPartyTypeExtensibleEnumeration_019f1937-220f-746f-81ca-71a5ff360878_terseLabel_en-US" xlink:label="lab_us-gaap_OtherLiabilityRelatedPartyTypeExtensibleEnumeration" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other Liability, Related Party [Extensible Enumeration]</link:label>
    <link:label id="lab_us-gaap_OtherLiabilityRelatedPartyTypeExtensibleEnumeration_label_en-US" xlink:label="lab_us-gaap_OtherLiabilityRelatedPartyTypeExtensibleEnumeration" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Liability, Related Party [Extensible Enumeration]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLiabilityRelatedPartyTypeExtensibleEnumeration" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherLiabilityRelatedPartyTypeExtensibleEnumeration"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherLiabilityRelatedPartyTypeExtensibleEnumeration" xlink:to="lab_us-gaap_OtherLiabilityRelatedPartyTypeExtensibleEnumeration" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_LegalEntityAxis_019f1937-2165-7562-ba3a-3bfbd3286aa6_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:label id="lab_dei_LegalEntityAxis_label_en-US" xlink:label="lab_dei_LegalEntityAxis" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_us-gaap_MaturityUpTo30DaysMember_019f1937-220f-7d70-a7dd-bb237d6ef78f_terseLabel_en-US" xlink:label="lab_us-gaap_MaturityUpTo30DaysMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Up to 30 Days</link:label>
    <link:label id="lab_us-gaap_MaturityUpTo30DaysMember_label_en-US" xlink:label="lab_us-gaap_MaturityUpTo30DaysMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Maturity Less than 30 Days [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MaturityUpTo30DaysMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MaturityUpTo30DaysMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MaturityUpTo30DaysMember" xlink:to="lab_us-gaap_MaturityUpTo30DaysMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ManagementFeePayable_019f1937-220f-791c-a295-852fc8e7c3c4_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/2026/elts/us-gaap-2026.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_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_019f1937-2165-73bd-8bc3-ef1287c6b7ad_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">Beginning of Period</link:label>
    <link:label id="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_019f1937-2165-7cf1-9a67-c3b6fc567c2d_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">End of Period</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/2026/elts/us-gaap-2026.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_bxinfra_DebtInstrumentLoanToValueRatioApplicableLimit_019f1937-2165-7204-a7cb-3060843b1b20_terseLabel_en-US" xlink:label="lab_bxinfra_DebtInstrumentLoanToValueRatioApplicableLimit" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest rate</link:label>
    <link:label id="lab_bxinfra_DebtInstrumentLoanToValueRatioApplicableLimit_label_en-US" xlink:label="lab_bxinfra_DebtInstrumentLoanToValueRatioApplicableLimit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument Loan To Value Ratio Applicable Limit</link:label>
    <link:label id="lab_bxinfra_DebtInstrumentLoanToValueRatioApplicableLimit_documentation_en-US" xlink:label="lab_bxinfra_DebtInstrumentLoanToValueRatioApplicableLimit" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument Loan To Value Ratio Applicable Limit</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DebtInstrumentLoanToValueRatioApplicableLimit" xlink:href="bxinfra-20260930.xsd#bxinfra_DebtInstrumentLoanToValueRatioApplicableLimit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DebtInstrumentLoanToValueRatioApplicableLimit" xlink:to="lab_bxinfra_DebtInstrumentLoanToValueRatioApplicableLimit" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems_019f1937-2165-7c8a-b4ec-e58517850380_terseLabel_en-US" xlink:label="lab_us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]</link:label>
    <link:label id="lab_us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems_label_en-US" xlink:label="lab_us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems" xlink:to="lab_us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityIncorporationStateCountryCode_019f1937-220f-7491-a2a1-a8a35468a90b_terseLabel_en-US" xlink:label="lab_dei_EntityIncorporationStateCountryCode" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Incorporation, State or Country Code</link:label>
    <link:label id="lab_dei_EntityIncorporationStateCountryCode_label_en-US" xlink:label="lab_dei_EntityIncorporationStateCountryCode" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Incorporation, State or Country Code</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityIncorporationStateCountryCode" xlink:to="lab_dei_EntityIncorporationStateCountryCode" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BaseRateMember_019f1937-220f-7371-8d25-0028d0a01c12_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/2026/elts/us-gaap-2026.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_bxinfra_CashCarryingValue_01a1c2b4-4eef-7e20-8160-0e7fcfeb3fec_terseLabel_en-US" xlink:label="lab_bxinfra_CashCarryingValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash, cost</link:label>
    <link:label id="lab_bxinfra_CashCarryingValue_label_en-US" xlink:label="lab_bxinfra_CashCarryingValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash, Carrying Value</link:label>
    <link:label id="lab_bxinfra_CashCarryingValue_documentation_en-US" xlink:label="lab_bxinfra_CashCarryingValue" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Cash, Carrying Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_CashCarryingValue" xlink:href="bxinfra-20260930.xsd#bxinfra_CashCarryingValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_CashCarryingValue" xlink:to="lab_bxinfra_CashCarryingValue" 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/2026/ecd-2026.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_ecd_MtrlTermsOfTrdArrTextBlock_terseLabel_en-US" xlink:label="lab_ecd_MtrlTermsOfTrdArrTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Material Terms of Trading Arrangement</link:label>
    <link:label id="lab_ecd_MtrlTermsOfTrdArrTextBlock_label_en-US" xlink:label="lab_ecd_MtrlTermsOfTrdArrTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Material Terms of Trading Arrangement [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_MtrlTermsOfTrdArrTextBlock" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_MtrlTermsOfTrdArrTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_MtrlTermsOfTrdArrTextBlock" xlink:to="lab_ecd_MtrlTermsOfTrdArrTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ecd_NonNeosMember_terseLabel_en-US" xlink:label="lab_ecd_NonNeosMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-NEOs</link:label>
    <link:label id="lab_ecd_NonNeosMember_label_en-US" xlink:label="lab_ecd_NonNeosMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-NEOs [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ecd_NonNeosMember" xlink:href="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd#ecd_NonNeosMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ecd_NonNeosMember" xlink:to="lab_ecd_NonNeosMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_GrossManagementFee_019f1937-220f-70a0-bfe4-c47e7fbf95ef_terseLabel_en-US" xlink:label="lab_bxinfra_GrossManagementFee" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Gross management fee</link:label>
    <link:label id="lab_bxinfra_GrossManagementFee_label_en-US" xlink:label="lab_bxinfra_GrossManagementFee" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gross Management Fee</link:label>
    <link:label id="lab_bxinfra_GrossManagementFee_documentation_en-US" xlink:label="lab_bxinfra_GrossManagementFee" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Gross management fee.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_GrossManagementFee" xlink:href="bxinfra-20260930.xsd#bxinfra_GrossManagementFee"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_GrossManagementFee" xlink:to="lab_bxinfra_GrossManagementFee" 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/2026/ecd-2026.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_bxinfra_InvestmentInSubsidiaries_019f1937-220f-7f4c-a2aa-62cdd057aed9_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentInSubsidiaries" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment in BXINFRA U.S.</link:label>
    <link:label id="lab_bxinfra_InvestmentInSubsidiaries_019f1937-220f-78fe-a024-a7b9a34a231a_verboseLabel_en-US" xlink:label="lab_bxinfra_InvestmentInSubsidiaries" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Investment in the Aggregator</link:label>
    <link:label id="lab_bxinfra_InvestmentInSubsidiaries_label_en-US" xlink:label="lab_bxinfra_InvestmentInSubsidiaries" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment In Subsidiaries</link:label>
    <link:label id="lab_bxinfra_InvestmentInSubsidiaries_documentation_en-US" xlink:label="lab_bxinfra_InvestmentInSubsidiaries" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment in bxinfra aggregator</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentInSubsidiaries" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentInSubsidiaries"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentInSubsidiaries" xlink:to="lab_bxinfra_InvestmentInSubsidiaries" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock_019f1937-2210-783d-82ef-47be9fb23b0a_terseLabel_en-US" xlink:label="lab_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock" 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_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock_label_en-US" xlink:label="lab_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Organization, Consolidation and Presentation of Financial Statements Disclosure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock" xlink:to="lab_us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DebtInstrumentAxis_019f1937-220f-7fb8-a2c7-cf54d40782ae_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:label id="lab_us-gaap_DebtInstrumentAxis_label_en-US" xlink:label="lab_us-gaap_DebtInstrumentAxis" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/elts/us-gaap-2026.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_us-gaap_SubsequentEventTable_019f1937-2210-78d1-9298-a9c6e9638856_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/2026/elts/us-gaap-2026.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_EquityMethodInvestmentOwnershipPercentage_019f1937-220f-7447-8140-cfe24909c957_terseLabel_en-US" xlink:label="lab_us-gaap_EquityMethodInvestmentOwnershipPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Vehicle investments, percentage</link:label>
    <link:label id="lab_us-gaap_EquityMethodInvestmentOwnershipPercentage_label_en-US" xlink:label="lab_us-gaap_EquityMethodInvestmentOwnershipPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity Method Investment, Ownership Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityMethodInvestmentOwnershipPercentage" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquityMethodInvestmentOwnershipPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquityMethodInvestmentOwnershipPercentage" xlink:to="lab_us-gaap_EquityMethodInvestmentOwnershipPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_InvestmentInTheAggregatorTextBlock_019f1937-2165-7f53-a8e5-c385d3aa1bfd_verboseLabel_en-US" xlink:label="lab_bxinfra_InvestmentInTheAggregatorTextBlock" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Investment in BXINFRA U.S.</link:label>
    <link:label id="lab_bxinfra_InvestmentInTheAggregatorTextBlock_019f1937-2165-7ccd-9f1a-aca75968c4c2_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentInTheAggregatorTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment in the Aggregator</link:label>
    <link:label id="lab_bxinfra_InvestmentInTheAggregatorTextBlock_label_en-US" xlink:label="lab_bxinfra_InvestmentInTheAggregatorTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment In The Aggregator [Text Block]</link:label>
    <link:label id="lab_bxinfra_InvestmentInTheAggregatorTextBlock_documentation_en-US" xlink:label="lab_bxinfra_InvestmentInTheAggregatorTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment in the aggregator.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentInTheAggregatorTextBlock" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentInTheAggregatorTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentInTheAggregatorTextBlock" xlink:to="lab_bxinfra_InvestmentInTheAggregatorTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LaborAndRelatedExpense_019f1937-2165-78f8-90d6-217de9531381_terseLabel_en-US" xlink:label="lab_us-gaap_LaborAndRelatedExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Performance Participation Allocation</link:label>
    <link:label id="lab_us-gaap_LaborAndRelatedExpense_label_en-US" xlink:label="lab_us-gaap_LaborAndRelatedExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Labor and Related Expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LaborAndRelatedExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LaborAndRelatedExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LaborAndRelatedExpense" xlink:to="lab_us-gaap_LaborAndRelatedExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MembersEquityNotesDisclosureTextBlock_019f1937-220f-79cb-8820-644e52bdb62a_terseLabel_en-US" xlink:label="lab_us-gaap_MembersEquityNotesDisclosureTextBlock" 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_MembersEquityNotesDisclosureTextBlock_label_en-US" xlink:label="lab_us-gaap_MembersEquityNotesDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Members' Equity Notes Disclosure [Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MembersEquityNotesDisclosureTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MembersEquityNotesDisclosureTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MembersEquityNotesDisclosureTextBlock" xlink:to="lab_us-gaap_MembersEquityNotesDisclosureTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LimitedPartnersCapitalAccount_019f1937-2165-7d10-bb73-27ae83a952a0_terseLabel_en-US" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Limited Partnership Unit</link:label>
    <link:label id="lab_us-gaap_LimitedPartnersCapitalAccount_label_en-US" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Limited Partners' Capital Account</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LimitedPartnersCapitalAccount" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LimitedPartnersCapitalAccount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LimitedPartnersCapitalAccount" xlink:to="lab_us-gaap_LimitedPartnersCapitalAccount" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ManagementFeesOffsetAndWaivedPolicyTextBlock_019f1937-2165-73dc-aebd-9b54cb04977d_terseLabel_en-US" xlink:label="lab_bxinfra_ManagementFeesOffsetAndWaivedPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Management Fees Offset and Waived</link:label>
    <link:label id="lab_bxinfra_ManagementFeesOffsetAndWaivedPolicyTextBlock_label_en-US" xlink:label="lab_bxinfra_ManagementFeesOffsetAndWaivedPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Management Fees Offset And Waived [Policy Text Block]</link:label>
    <link:label id="lab_bxinfra_ManagementFeesOffsetAndWaivedPolicyTextBlock_documentation_en-US" xlink:label="lab_bxinfra_ManagementFeesOffsetAndWaivedPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Management fees offset and waived.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ManagementFeesOffsetAndWaivedPolicyTextBlock" xlink:href="bxinfra-20260930.xsd#bxinfra_ManagementFeesOffsetAndWaivedPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ManagementFeesOffsetAndWaivedPolicyTextBlock" xlink:to="lab_bxinfra_ManagementFeesOffsetAndWaivedPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInDueToAffiliates_019f1937-220f-7797-964a-495ca9771da0_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">Due to Affiliates</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/2026/elts/us-gaap-2026.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_bxinfra_WarehousingFees_019f1937-220f-7a69-9a8c-de25e18938d6_terseLabel_en-US" xlink:label="lab_bxinfra_WarehousingFees" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Warehousing Fees</link:label>
    <link:label id="lab_bxinfra_WarehousingFees_label_en-US" xlink:label="lab_bxinfra_WarehousingFees" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Warehousing Fees</link:label>
    <link:label id="lab_bxinfra_WarehousingFees_documentation_en-US" xlink:label="lab_bxinfra_WarehousingFees" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Warehousing Fees.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_WarehousingFees" xlink:href="bxinfra-20260930.xsd#bxinfra_WarehousingFees"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_WarehousingFees" xlink:to="lab_bxinfra_WarehousingFees" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RelatedPartyTransactionAmountsOfTransaction_019f1937-220f-7268-9f0e-df72f809c274_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">Related party transaction, amounts 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/2026/elts/us-gaap-2026.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_srt_EquityMethodInvesteeNameDomain_019f1937-2210-7f67-9724-94b1136e95e9_terseLabel_en-US" xlink:label="lab_srt_EquityMethodInvesteeNameDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment, Name [Domain]</link:label>
    <link:label id="lab_srt_EquityMethodInvesteeNameDomain_label_en-US" xlink:label="lab_srt_EquityMethodInvesteeNameDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Name [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_EquityMethodInvesteeNameDomain" xlink:href="https://xbrl.fasb.org/srt/2026/elts/srt-2026.xsd#srt_EquityMethodInvesteeNameDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_EquityMethodInvesteeNameDomain" xlink:to="lab_srt_EquityMethodInvesteeNameDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LongtermDebtTypeDomain_019f1937-2165-7b24-9c88-9163eb0fb042_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/2026/elts/us-gaap-2026.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_MeasurementInputTypeAxis_019f1937-220f-7a08-993c-36b9ab7a96d6_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/2026/elts/us-gaap-2026.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_bxinfra_PerformanceParticipationAllocationSharesReceived_019f1937-220f-7e25-a24a-91f0c96acdfd_terseLabel_en-US" xlink:label="lab_bxinfra_PerformanceParticipationAllocationSharesReceived" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Shares received for equity (in shares)</link:label>
    <link:label id="lab_bxinfra_PerformanceParticipationAllocationSharesReceived_label_en-US" xlink:label="lab_bxinfra_PerformanceParticipationAllocationSharesReceived" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Performance Participation Allocation, Shares Received</link:label>
    <link:label id="lab_bxinfra_PerformanceParticipationAllocationSharesReceived_documentation_en-US" xlink:label="lab_bxinfra_PerformanceParticipationAllocationSharesReceived" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Performance Participation Allocation, Shares Received</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_PerformanceParticipationAllocationSharesReceived" xlink:href="bxinfra-20260930.xsd#bxinfra_PerformanceParticipationAllocationSharesReceived"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PerformanceParticipationAllocationSharesReceived" xlink:to="lab_bxinfra_PerformanceParticipationAllocationSharesReceived" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_RangeAxis_019f1937-2165-7427-8f32-dc908a4819ba_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/2026/elts/srt-2026.xsd#srt_RangeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_RangeAxis" xlink:to="lab_srt_RangeAxis" 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/2026/ecd-2026.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_us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock_019f1937-220f-7c28-a0bb-ed832ddd4573_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 Impact to Condensed Consolidated Statements of Operations from Derivative Instruments</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/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock" xlink:to="lab_us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_WarehousingAgreementMember_019f1937-2165-7c22-982b-69732eb64898_terseLabel_en-US" xlink:label="lab_bxinfra_WarehousingAgreementMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Warehousing Agreement</link:label>
    <link:label id="lab_bxinfra_WarehousingAgreementMember_label_en-US" xlink:label="lab_bxinfra_WarehousingAgreementMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Warehousing Agreement [Member]</link:label>
    <link:label id="lab_bxinfra_WarehousingAgreementMember_documentation_en-US" xlink:label="lab_bxinfra_WarehousingAgreementMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Warehousing agreement.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_WarehousingAgreementMember" xlink:href="bxinfra-20260930.xsd#bxinfra_WarehousingAgreementMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_WarehousingAgreementMember" xlink:to="lab_bxinfra_WarehousingAgreementMember" 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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.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_RealEstateMember_019f1937-2165-7a15-843d-f433fe6da0e7_terseLabel_en-US" xlink:label="lab_us-gaap_RealEstateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Real Estate</link:label>
    <link:label id="lab_us-gaap_RealEstateMember_label_en-US" xlink:label="lab_us-gaap_RealEstateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Real Estate [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RealEstateMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RealEstateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RealEstateMember" xlink:to="lab_us-gaap_RealEstateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_BondFutureMember_019fb6c2-9a3b-7643-b2ad-405f42e15bdb_terseLabel_en-US" xlink:label="lab_us-gaap_BondFutureMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Bond Futures Contracts</link:label>
    <link:label id="lab_us-gaap_BondFutureMember_label_en-US" xlink:label="lab_us-gaap_BondFutureMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Bond Future [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BondFutureMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BondFutureMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_BondFutureMember" xlink:to="lab_us-gaap_BondFutureMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased_019f1937-2165-76a2-93d2-6668a3e6bb69_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Payable for Investments Purchased</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Payable for Investment Purchased</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased" xlink:to="lab_us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PartnersCapitalAbstract_019f1937-2165-76df-bac9-f78187c4948a_terseLabel_en-US" xlink:label="lab_us-gaap_PartnersCapitalAbstract" 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_PartnersCapitalAbstract_label_en-US" xlink:label="lab_us-gaap_PartnersCapitalAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Partners' Capital [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PartnersCapitalAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PartnersCapitalAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PartnersCapitalAbstract" xlink:to="lab_us-gaap_PartnersCapitalAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_AmountsOfEnforceableMasterNettingArrangement_019f1937-220f-731a-af19-5aac9ead8f38_terseLabel_en-US" xlink:label="lab_bxinfra_AmountsOfEnforceableMasterNettingArrangement" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Amounts Subject to an Enforceable Master Netting Arrangement</link:label>
    <link:label id="lab_bxinfra_AmountsOfEnforceableMasterNettingArrangement_label_en-US" xlink:label="lab_bxinfra_AmountsOfEnforceableMasterNettingArrangement" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Amounts Of Enforceable Master Netting Arrangement</link:label>
    <link:label id="lab_bxinfra_AmountsOfEnforceableMasterNettingArrangement_documentation_en-US" xlink:label="lab_bxinfra_AmountsOfEnforceableMasterNettingArrangement" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Amounts of enforceable master netting arrangement.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_AmountsOfEnforceableMasterNettingArrangement" xlink:href="bxinfra-20260930.xsd#bxinfra_AmountsOfEnforceableMasterNettingArrangement"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AmountsOfEnforceableMasterNettingArrangement" xlink:to="lab_bxinfra_AmountsOfEnforceableMasterNettingArrangement" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RealizedGainLossInvestmentAndDerivativeOperatingAfterTax_019f1937-220f-7b8e-bce7-6473ca19a078_terseLabel_en-US" xlink:label="lab_us-gaap_RealizedGainLossInvestmentAndDerivativeOperatingAfterTax" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Realized Gain (Loss) on Investments, Derivative Instruments and Translation of Assets and Liabilities in Foreign Currencies</link:label>
    <link:label id="lab_us-gaap_RealizedGainLossInvestmentAndDerivativeOperatingAfterTax_019f1937-220f-7fbd-9d5b-3ce80607a980_negatedTerseLabel_en-US" xlink:label="lab_us-gaap_RealizedGainLossInvestmentAndDerivativeOperatingAfterTax" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Net Realized (Gain) Loss on Investments, Derivative Instruments and Translation of Assets and Liabilities in Foreign Currencies</link:label>
    <link:label id="lab_us-gaap_RealizedGainLossInvestmentAndDerivativeOperatingAfterTax_label_en-US" xlink:label="lab_us-gaap_RealizedGainLossInvestmentAndDerivativeOperatingAfterTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Realized Gain (Loss), Investment and Derivative, Operating, after Tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RealizedGainLossInvestmentAndDerivativeOperatingAfterTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RealizedGainLossInvestmentAndDerivativeOperatingAfterTax"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RealizedGainLossInvestmentAndDerivativeOperatingAfterTax" xlink:to="lab_us-gaap_RealizedGainLossInvestmentAndDerivativeOperatingAfterTax" 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/2026/ecd-2026.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_us-gaap_SummaryOfInvestmentHoldingsTable_019f1937-2166-7577-99c2-043846b0a048_terseLabel_en-US" xlink:label="lab_us-gaap_SummaryOfInvestmentHoldingsTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Holdings [Table]</link:label>
    <link:label id="lab_us-gaap_SummaryOfInvestmentHoldingsTable_label_en-US" xlink:label="lab_us-gaap_SummaryOfInvestmentHoldingsTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Holdings [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SummaryOfInvestmentHoldingsTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SummaryOfInvestmentHoldingsTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SummaryOfInvestmentHoldingsTable" xlink:to="lab_us-gaap_SummaryOfInvestmentHoldingsTable" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_CapitalUnitsByClassAxis_019f1937-2165-7dc0-89a7-12c674b911f5_terseLabel_en-US" xlink:label="lab_us-gaap_CapitalUnitsByClassAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Capital Units by Class [Axis]</link:label>
    <link:label id="lab_us-gaap_CapitalUnitsByClassAxis_label_en-US" xlink:label="lab_us-gaap_CapitalUnitsByClassAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Capital Units by Class [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CapitalUnitsByClassAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CapitalUnitsByClassAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CapitalUnitsByClassAxis" xlink:to="lab_us-gaap_CapitalUnitsByClassAxis" 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/2026/ecd-2026.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_us-gaap_InvestmentCompanyFinancialCommitmentToInvesteeFutureAmount_019f1937-220f-7931-b2e1-c60c562552fd_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">Unfunded Commitment</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/2026/elts/us-gaap-2026.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_us-gaap_AvailableForSaleSecuritiesDebtSecurities_019f1937-2166-738e-9273-166000fb7fdb_terseLabel_en-US" xlink:label="lab_us-gaap_AvailableForSaleSecuritiesDebtSecurities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt Investments</link:label>
    <link:label id="lab_us-gaap_AvailableForSaleSecuritiesDebtSecurities_label_en-US" xlink:label="lab_us-gaap_AvailableForSaleSecuritiesDebtSecurities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Securities, Available-for-Sale</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtSecurities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities" xlink:to="lab_us-gaap_AvailableForSaleSecuritiesDebtSecurities" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_OfferingCostPayableMember_019f1937-220f-75ff-bc32-d993a9069082_terseLabel_en-US" xlink:label="lab_bxinfra_OfferingCostPayableMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Offering Cost Payable</link:label>
    <link:label id="lab_bxinfra_OfferingCostPayableMember_label_en-US" xlink:label="lab_bxinfra_OfferingCostPayableMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Offering Cost Payable [Member]</link:label>
    <link:label id="lab_bxinfra_OfferingCostPayableMember_documentation_en-US" xlink:label="lab_bxinfra_OfferingCostPayableMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Offering Cost Payable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_OfferingCostPayableMember" xlink:href="bxinfra-20260930.xsd#bxinfra_OfferingCostPayableMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_OfferingCostPayableMember" xlink:to="lab_bxinfra_OfferingCostPayableMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_LimitedPartnersCapitalAccountClassDomain_019f1937-2165-70ac-b93a-a7201229d7ed_terseLabel_en-US" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountClassDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Limited Partners' Capital Account, Class [Domain]</link:label>
    <link:label id="lab_us-gaap_LimitedPartnersCapitalAccountClassDomain_label_en-US" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountClassDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Limited Partners' Capital Account, Class [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LimitedPartnersCapitalAccountClassDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LimitedPartnersCapitalAccountClassDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LimitedPartnersCapitalAccountClassDomain" xlink:to="lab_us-gaap_LimitedPartnersCapitalAccountClassDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_FollowOnExtensionsMember_01a1a441-a4d9-70ad-8e3f-9b85be5a37ed_terseLabel_en-US" xlink:label="lab_bxinfra_FollowOnExtensionsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Follow On Extensions</link:label>
    <link:label id="lab_bxinfra_FollowOnExtensionsMember_label_en-US" xlink:label="lab_bxinfra_FollowOnExtensionsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Follow On Extensions [Member]</link:label>
    <link:label id="lab_bxinfra_FollowOnExtensionsMember_documentation_en-US" xlink:label="lab_bxinfra_FollowOnExtensionsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Follow On Extensions</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_FollowOnExtensionsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_FollowOnExtensionsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_FollowOnExtensionsMember" xlink:to="lab_bxinfra_FollowOnExtensionsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_IncomeRecognitionPolicyTextBlock_019f1937-2166-7975-8f99-b4fbc1c63bbc_terseLabel_en-US" xlink:label="lab_bxinfra_IncomeRecognitionPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Income Recognition</link:label>
    <link:label id="lab_bxinfra_IncomeRecognitionPolicyTextBlock_label_en-US" xlink:label="lab_bxinfra_IncomeRecognitionPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Income Recognition [Policy Text Block]</link:label>
    <link:label id="lab_bxinfra_IncomeRecognitionPolicyTextBlock_documentation_en-US" xlink:label="lab_bxinfra_IncomeRecognitionPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disclosure of accounting policy for revenue. Includes revenue from contract with customer and from other sources.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_IncomeRecognitionPolicyTextBlock" xlink:href="bxinfra-20260930.xsd#bxinfra_IncomeRecognitionPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_IncomeRecognitionPolicyTextBlock" xlink:to="lab_bxinfra_IncomeRecognitionPolicyTextBlock" 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/2026/ecd-2026.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_dei_CoverAbstract_label_en-US" xlink:label="lab_dei_CoverAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cover [Abstract]</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_CoverAbstract" xlink:to="lab_dei_CoverAbstract" xlink:type="arc" order="1"/>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingAfterTax" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingAfterTax"/>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable"/>
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    <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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.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_bxinfra_NameOfInvestmentGroupAxis_019f1937-2165-778c-b1d7-460017071fc2_terseLabel_en-US" xlink:label="lab_bxinfra_NameOfInvestmentGroupAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Name Of Investment Group [Axis]</link:label>
    <link:label id="lab_bxinfra_NameOfInvestmentGroupAxis_label_en-US" xlink:label="lab_bxinfra_NameOfInvestmentGroupAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Name Of Investment Group [Axis]</link:label>
    <link:label id="lab_bxinfra_NameOfInvestmentGroupAxis_documentation_en-US" xlink:label="lab_bxinfra_NameOfInvestmentGroupAxis" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Name Of investment group.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_NameOfInvestmentGroupAxis" xlink:href="bxinfra-20260930.xsd#bxinfra_NameOfInvestmentGroupAxis"/>
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    <link:label id="lab_us-gaap_IncreaseDecreaseInAdministrativeFeePayable_019f1937-220f-70a6-8d58-10211567638b_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInAdministrativeFeePayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Administration Fees Payable</link:label>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAdministrativeFeePayable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInAdministrativeFeePayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInAdministrativeFeePayable" xlink:to="lab_us-gaap_IncreaseDecreaseInAdministrativeFeePayable" xlink:type="arc" order="1"/>
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    <link:label id="lab_us-gaap_LiabilitiesAndStockholdersEquity_label_en-US" xlink:label="lab_us-gaap_LiabilitiesAndStockholdersEquity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Liabilities and Equity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquity" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LiabilitiesAndStockholdersEquity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity" xlink:to="lab_us-gaap_LiabilitiesAndStockholdersEquity" xlink:type="arc" order="1"/>
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    <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/2026/elts/us-gaap-2026.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_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/2026/elts/us-gaap-2026.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"/>
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    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases"/>
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    <link:label id="lab_us-gaap_MaturityOvernightAndOnDemandMember_label_en-US" xlink:label="lab_us-gaap_MaturityOvernightAndOnDemandMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Maturity Overnight and on Demand [Member]</link:label>
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    <link:label id="lab_us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems_label_en-US" xlink:label="lab_us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]</link:label>
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    <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>
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    <link:label id="lab_bxinfra_ClassSUnitsMember_019f1937-220f-71fd-b8d7-7e3a9ebab9a7_verboseLabel_en-US" xlink:label="lab_bxinfra_ClassSUnitsMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Class S Units</link:label>
    <link:label id="lab_bxinfra_ClassSUnitsMember_label_en-US" xlink:label="lab_bxinfra_ClassSUnitsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class S Units [Member]</link:label>
    <link:label id="lab_bxinfra_ClassSUnitsMember_documentation_en-US" xlink:label="lab_bxinfra_ClassSUnitsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Class S units.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ClassSUnitsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ClassSUnitsMember"/>
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    <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>
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    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_RepurchaseAgreementsLineItems" xlink:href="bxinfra-20260930.xsd#bxinfra_RepurchaseAgreementsLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_RepurchaseAgreementsLineItems" xlink:to="lab_bxinfra_RepurchaseAgreementsLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentOwnedPercentOfNetAssets_019f1937-220f-76cb-b40e-4aeabd675079_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">Fair Value as a Percentage of Net Assets</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/2026/elts/us-gaap-2026.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_bxinfra_DerivativeRealizedGainMember_019f1937-220f-7abe-a2ac-4c557801adff_terseLabel_en-US" xlink:label="lab_bxinfra_DerivativeRealizedGainMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Realized Gain (Loss)</link:label>
    <link:label id="lab_bxinfra_DerivativeRealizedGainMember_label_en-US" xlink:label="lab_bxinfra_DerivativeRealizedGainMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Realized Gain [Member]</link:label>
    <link:label id="lab_bxinfra_DerivativeRealizedGainMember_documentation_en-US" xlink:label="lab_bxinfra_DerivativeRealizedGainMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Derivative Realized Gain [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DerivativeRealizedGainMember" xlink:href="bxinfra-20260930.xsd#bxinfra_DerivativeRealizedGainMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeRealizedGainMember" xlink:to="lab_bxinfra_DerivativeRealizedGainMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_MeasurementInputDiscountToSaleMember_019f1937-2210-7874-9c1f-4640015ea79f_terseLabel_en-US" xlink:label="lab_bxinfra_MeasurementInputDiscountToSaleMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Input Discount To Sale</link:label>
    <link:label id="lab_bxinfra_MeasurementInputDiscountToSaleMember_label_en-US" xlink:label="lab_bxinfra_MeasurementInputDiscountToSaleMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input Discount To Sale [Member]</link:label>
    <link:label id="lab_bxinfra_MeasurementInputDiscountToSaleMember_documentation_en-US" xlink:label="lab_bxinfra_MeasurementInputDiscountToSaleMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement input discount to sale.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_MeasurementInputDiscountToSaleMember" xlink:href="bxinfra-20260930.xsd#bxinfra_MeasurementInputDiscountToSaleMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_MeasurementInputDiscountToSaleMember" xlink:to="lab_bxinfra_MeasurementInputDiscountToSaleMember" 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/2026/ecd-2026.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_bxinfra_ValuationTechniqueTransactionPriceMember_019f1937-220f-7b7a-a0dd-809ce91e6f78_terseLabel_en-US" xlink:label="lab_bxinfra_ValuationTechniqueTransactionPriceMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transaction Price</link:label>
    <link:label id="lab_bxinfra_ValuationTechniqueTransactionPriceMember_label_en-US" xlink:label="lab_bxinfra_ValuationTechniqueTransactionPriceMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation Technique, Transaction Price [Member]</link:label>
    <link:label id="lab_bxinfra_ValuationTechniqueTransactionPriceMember_documentation_en-US" xlink:label="lab_bxinfra_ValuationTechniqueTransactionPriceMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Valuation Technique, Transaction Price</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ValuationTechniqueTransactionPriceMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ValuationTechniqueTransactionPriceMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ValuationTechniqueTransactionPriceMember" xlink:to="lab_bxinfra_ValuationTechniqueTransactionPriceMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_PartnersCapitalAccountUnitsRedeemed_019f1937-2165-7510-a1c8-365222919168_terseLabel_en-US" xlink:label="lab_us-gaap_PartnersCapitalAccountUnitsRedeemed" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Partners capital account units redeemed (in shares)</link:label>
    <link:label id="lab_us-gaap_PartnersCapitalAccountUnitsRedeemed_label_en-US" xlink:label="lab_us-gaap_PartnersCapitalAccountUnitsRedeemed" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Partners' Capital Account, Units, Redeemed</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PartnersCapitalAccountUnitsRedeemed" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PartnersCapitalAccountUnitsRedeemed"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PartnersCapitalAccountUnitsRedeemed" xlink:to="lab_us-gaap_PartnersCapitalAccountUnitsRedeemed" 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/2026/ecd-2026.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_us-gaap_InvestmentIdentifierAxis_019f1937-2165-74c1-adbf-40c4351dcb75_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/2026/elts/us-gaap-2026.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_us-gaap_InvestmentCompanyExpenseRatioExcludingIncentiveFee_019f1937-2165-7847-a5bd-51179cd93da0_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyExpenseRatioExcludingIncentiveFee" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment company, expense ratio, after fee waiver and before incentive fee deduction</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyExpenseRatioExcludingIncentiveFee_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyExpenseRatioExcludingIncentiveFee" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Expense Ratio, after Fee Waiver and before Incentive Fee Deduction</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyExpenseRatioExcludingIncentiveFee" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyExpenseRatioExcludingIncentiveFee"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyExpenseRatioExcludingIncentiveFee" xlink:to="lab_us-gaap_InvestmentCompanyExpenseRatioExcludingIncentiveFee" 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/2026/ecd-2026.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_bxinfra_DistributionPolicyTextBlock_019f1937-2165-7918-9a45-a3ce74c5dcd0_terseLabel_en-US" xlink:label="lab_bxinfra_DistributionPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Distributions</link:label>
    <link:label id="lab_bxinfra_DistributionPolicyTextBlock_label_en-US" xlink:label="lab_bxinfra_DistributionPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Distribution [Policy Text Block]</link:label>
    <link:label id="lab_bxinfra_DistributionPolicyTextBlock_documentation_en-US" xlink:label="lab_bxinfra_DistributionPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Distribution.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DistributionPolicyTextBlock" xlink:href="bxinfra-20260930.xsd#bxinfra_DistributionPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DistributionPolicyTextBlock" xlink:to="lab_bxinfra_DistributionPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ExpenseSupport_019f1937-2165-73f1-8fdc-0b2305d49fe7_negatedTerseLabel_en-US" xlink:label="lab_bxinfra_ExpenseSupport" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Expense Support</link:label>
    <link:label id="lab_bxinfra_ExpenseSupport_label_en-US" xlink:label="lab_bxinfra_ExpenseSupport" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Expense Support</link:label>
    <link:label id="lab_bxinfra_ExpenseSupport_documentation_en-US" xlink:label="lab_bxinfra_ExpenseSupport" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Expense support.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ExpenseSupport" xlink:href="bxinfra-20260930.xsd#bxinfra_ExpenseSupport"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ExpenseSupport" xlink:to="lab_bxinfra_ExpenseSupport" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_GeneralAndAdministrativeExpense_019f1937-2165-77e4-860f-6a4281135734_terseLabel_en-US" xlink:label="lab_us-gaap_GeneralAndAdministrativeExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Administration Fees</link:label>
    <link:label id="lab_us-gaap_GeneralAndAdministrativeExpense_label_en-US" xlink:label="lab_us-gaap_GeneralAndAdministrativeExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">General and Administrative Expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GeneralAndAdministrativeExpense" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_GeneralAndAdministrativeExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_GeneralAndAdministrativeExpense" xlink:to="lab_us-gaap_GeneralAndAdministrativeExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_InvestmentCompanyCommitmentScenarioDomain_01a1a441-1194-7620-afc2-16ec7192f265_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentCompanyCommitmentScenarioDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Company, Commitment, Scenario [Domain]</link:label>
    <link:label id="lab_bxinfra_InvestmentCompanyCommitmentScenarioDomain_label_en-US" xlink:label="lab_bxinfra_InvestmentCompanyCommitmentScenarioDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Commitment, Scenario [Domain]</link:label>
    <link:label id="lab_bxinfra_InvestmentCompanyCommitmentScenarioDomain_documentation_en-US" xlink:label="lab_bxinfra_InvestmentCompanyCommitmentScenarioDomain" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Company, Commitment, Scenario [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentCompanyCommitmentScenarioDomain" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentCompanyCommitmentScenarioDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentCompanyCommitmentScenarioDomain" xlink:to="lab_bxinfra_InvestmentCompanyCommitmentScenarioDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeGainLossOnDerivativeNetAbstract_019f1937-220f-70f1-b8d7-31f5c0f659b9_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeGainLossOnDerivativeNetAbstract" 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_DerivativeGainLossOnDerivativeNetAbstract_label_en-US" xlink:label="lab_us-gaap_DerivativeGainLossOnDerivativeNetAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative, Gain (Loss) on Derivative, Net [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeGainLossOnDerivativeNetAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeGainLossOnDerivativeNetAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeGainLossOnDerivativeNetAbstract" xlink:to="lab_us-gaap_DerivativeGainLossOnDerivativeNetAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyDistributionToShareholdersPerShare_019f1937-2210-77b5-96a9-7617a67eedfa_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 (in dollars 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/2026/elts/us-gaap-2026.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_bxinfra_RedemptionOfferingProgramOutstandingRedemptionRequestsSubjectToEarlyRedemptionReductionPeriod_019f1937-220f-76ec-b102-08b45ca8ff60_terseLabel_en-US" xlink:label="lab_bxinfra_RedemptionOfferingProgramOutstandingRedemptionRequestsSubjectToEarlyRedemptionReductionPeriod" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Period of units outstanding</link:label>
    <link:label id="lab_bxinfra_RedemptionOfferingProgramOutstandingRedemptionRequestsSubjectToEarlyRedemptionReductionPeriod_label_en-US" xlink:label="lab_bxinfra_RedemptionOfferingProgramOutstandingRedemptionRequestsSubjectToEarlyRedemptionReductionPeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Redemption Offering Program, Outstanding Redemption Requests Subject To Early Redemption Reduction, Period</link:label>
    <link:label id="lab_bxinfra_RedemptionOfferingProgramOutstandingRedemptionRequestsSubjectToEarlyRedemptionReductionPeriod_documentation_en-US" xlink:label="lab_bxinfra_RedemptionOfferingProgramOutstandingRedemptionRequestsSubjectToEarlyRedemptionReductionPeriod" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Redemption Offering Program, Outstanding Redemption Requests Subject To Early Redemption Reduction, Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_RedemptionOfferingProgramOutstandingRedemptionRequestsSubjectToEarlyRedemptionReductionPeriod" xlink:href="bxinfra-20260930.xsd#bxinfra_RedemptionOfferingProgramOutstandingRedemptionRequestsSubjectToEarlyRedemptionReductionPeriod"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_RedemptionOfferingProgramOutstandingRedemptionRequestsSubjectToEarlyRedemptionReductionPeriod" xlink:to="lab_bxinfra_RedemptionOfferingProgramOutstandingRedemptionRequestsSubjectToEarlyRedemptionReductionPeriod" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ClassDLimitedPartnershipUnitsMember_019f1937-2165-7eed-9688-5e204d9a669c_terseLabel_en-US" xlink:label="lab_bxinfra_ClassDLimitedPartnershipUnitsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Class D Limited Partnership Units</link:label>
    <link:label id="lab_bxinfra_ClassDLimitedPartnershipUnitsMember_label_en-US" xlink:label="lab_bxinfra_ClassDLimitedPartnershipUnitsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class D Limited Partnership Units [Member]</link:label>
    <link:label id="lab_bxinfra_ClassDLimitedPartnershipUnitsMember_documentation_en-US" xlink:label="lab_bxinfra_ClassDLimitedPartnershipUnitsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Class D limited partnership units.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ClassDLimitedPartnershipUnitsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ClassDLimitedPartnershipUnitsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ClassDLimitedPartnershipUnitsMember" xlink:to="lab_bxinfra_ClassDLimitedPartnershipUnitsMember" 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/2026/ecd-2026.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_bxinfra_ForeignExchangeContractEURMember_019f1937-220f-78ee-b908-b883a41ef7ef_terseLabel_en-US" xlink:label="lab_bxinfra_ForeignExchangeContractEURMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign Currency Contracts (EUR)</link:label>
    <link:label id="lab_bxinfra_ForeignExchangeContractEURMember_label_en-US" xlink:label="lab_bxinfra_ForeignExchangeContractEURMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Exchange Contract, EUR [Member]</link:label>
    <link:label id="lab_bxinfra_ForeignExchangeContractEURMember_documentation_en-US" xlink:label="lab_bxinfra_ForeignExchangeContractEURMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Foreign Exchange Contract, EUR</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ForeignExchangeContractEURMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ForeignExchangeContractEURMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ForeignExchangeContractEURMember" xlink:to="lab_bxinfra_ForeignExchangeContractEURMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities_019f1937-2210-7926-a1fc-011df019c02a_terseLabel_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accounts Payable, Accrued Expenses and Other Liabilities</link:label>
    <link:label id="lab_us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities_label_en-US" xlink:label="lab_us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) in Other Accounts Payable and Accrued Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities" xlink:to="lab_us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ClassOfStockDomain_019f1937-2166-7c28-b2a8-863a437d5098_terseLabel_en-US" xlink:label="lab_us-gaap_ClassOfStockDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Class of Stock [Domain]</link:label>
    <link:label id="lab_us-gaap_ClassOfStockDomain_label_en-US" xlink:label="lab_us-gaap_ClassOfStockDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class of Stock [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ClassOfStockDomain" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ClassOfStockDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ClassOfStockDomain" xlink:to="lab_us-gaap_ClassOfStockDomain" 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/2026/ecd-2026.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_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/2026/ecd-2026.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_bxinfra_DistributionsPaidInCash_019f1937-220f-7fc2-aa59-4e2fdf4a3968_negatedTerseLabel_en-US" xlink:label="lab_bxinfra_DistributionsPaidInCash" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Distributions Paid in Cash</link:label>
    <link:label id="lab_bxinfra_DistributionsPaidInCash_label_en-US" xlink:label="lab_bxinfra_DistributionsPaidInCash" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Distributions Paid In Cash</link:label>
    <link:label id="lab_bxinfra_DistributionsPaidInCash_documentation_en-US" xlink:label="lab_bxinfra_DistributionsPaidInCash" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Distributions paid in cash</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DistributionsPaidInCash" xlink:href="bxinfra-20260930.xsd#bxinfra_DistributionsPaidInCash"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DistributionsPaidInCash" xlink:to="lab_bxinfra_DistributionsPaidInCash" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InterestPaidNet_019f1937-220f-71ea-8157-6ca7015cc415_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">Cash Paid for Interest</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/2026/elts/us-gaap-2026.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_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/2026/elts/us-gaap-2026.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_bxinfra_BlackstoneInfrastructureStrategiesTEL.P.Member_019f1937-220f-7cad-b500-81c9b8e6aa80_terseLabel_en-US" xlink:label="lab_bxinfra_BlackstoneInfrastructureStrategiesTEL.P.Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Blackstone Infrastructure Strategies (TE) L.P.</link:label>
    <link:label id="lab_bxinfra_BlackstoneInfrastructureStrategiesTEL.P.Member_label_en-US" xlink:label="lab_bxinfra_BlackstoneInfrastructureStrategiesTEL.P.Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Blackstone Infrastructure Strategies (TE) L.P. [Member]</link:label>
    <link:label id="lab_bxinfra_BlackstoneInfrastructureStrategiesTEL.P.Member_documentation_en-US" xlink:label="lab_bxinfra_BlackstoneInfrastructureStrategiesTEL.P.Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Blackstone Infrastructure Strategies (TE) L.P.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_BlackstoneInfrastructureStrategiesTEL.P.Member" xlink:href="bxinfra-20260930.xsd#bxinfra_BlackstoneInfrastructureStrategiesTEL.P.Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_BlackstoneInfrastructureStrategiesTEL.P.Member" xlink:to="lab_bxinfra_BlackstoneInfrastructureStrategiesTEL.P.Member" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_InvestmentCompanyExpenseRatioAfterIncentiveAllocation_019f1937-2165-74b8-b8e1-f32d2532c2d6_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyExpenseRatioAfterIncentiveAllocation" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accrued Performance Participation Allocation</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyExpenseRatioAfterIncentiveAllocation_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyExpenseRatioAfterIncentiveAllocation" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Expense Ratio after Incentive Allocation</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyExpenseRatioAfterIncentiveAllocation" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyExpenseRatioAfterIncentiveAllocation"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyExpenseRatioAfterIncentiveAllocation" xlink:to="lab_us-gaap_InvestmentCompanyExpenseRatioAfterIncentiveAllocation" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_ScheduleOfStockByClassTextBlock_019f1937-220f-7f87-8dad-4e636e78ec87_terseLabel_en-US" xlink:label="lab_us-gaap_ScheduleOfStockByClassTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Transactions in Units</link:label>
    <link:label id="lab_us-gaap_ScheduleOfStockByClassTextBlock_label_en-US" xlink:label="lab_us-gaap_ScheduleOfStockByClassTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Stock by Class [Table Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ScheduleOfStockByClassTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ScheduleOfStockByClassTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfStockByClassTextBlock" xlink:to="lab_us-gaap_ScheduleOfStockByClassTextBlock" 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/2026/ecd-2026.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_AssetsFairValueDisclosure_019f1937-2165-769e-9221-e8c5aba4ee67_totalLabel_en-US" xlink:label="lab_us-gaap_AssetsFairValueDisclosure" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total assets, fair value</link:label>
    <link:label id="lab_us-gaap_AssetsFairValueDisclosure_019f1937-2165-7e21-a002-8e6f50dbe6d7_terseLabel_en-US" xlink:label="lab_us-gaap_AssetsFairValueDisclosure" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total Assets</link:label>
    <link:label id="lab_us-gaap_AssetsFairValueDisclosure_label_en-US" xlink:label="lab_us-gaap_AssetsFairValueDisclosure" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Assets, Fair Value Disclosure</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsFairValueDisclosure" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AssetsFairValueDisclosure"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetsFairValueDisclosure" xlink:to="lab_us-gaap_AssetsFairValueDisclosure" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_InvestmentEquitySecurities_019f1937-2165-74c8-9c0a-60bf19da0043_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentEquitySecurities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment equity securities</link:label>
    <link:label id="lab_bxinfra_InvestmentEquitySecurities_label_en-US" xlink:label="lab_bxinfra_InvestmentEquitySecurities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Equity Securities</link:label>
    <link:label id="lab_bxinfra_InvestmentEquitySecurities_documentation_en-US" xlink:label="lab_bxinfra_InvestmentEquitySecurities" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment Equity Securities.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentEquitySecurities" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentEquitySecurities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentEquitySecurities" xlink:to="lab_bxinfra_InvestmentEquitySecurities" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_AggregatorAcquiredNumberOfLoans_019f3747-873e-7512-900c-7edb7c739976_terseLabel_en-US" xlink:label="lab_bxinfra_AggregatorAcquiredNumberOfLoans" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregator acquired number of loans</link:label>
    <link:label id="lab_bxinfra_AggregatorAcquiredNumberOfLoans_label_en-US" xlink:label="lab_bxinfra_AggregatorAcquiredNumberOfLoans" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Aggregator Acquired Number Of Loans</link:label>
    <link:label id="lab_bxinfra_AggregatorAcquiredNumberOfLoans_documentation_en-US" xlink:label="lab_bxinfra_AggregatorAcquiredNumberOfLoans" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Aggregator Acquired Number Of Loans</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_AggregatorAcquiredNumberOfLoans" xlink:href="bxinfra-20260930.xsd#bxinfra_AggregatorAcquiredNumberOfLoans"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AggregatorAcquiredNumberOfLoans" xlink:to="lab_bxinfra_AggregatorAcquiredNumberOfLoans" 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/2026/ecd-2026.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_bxinfra_AccountingPoliciesLineItems_019f1937-2165-7e87-87fd-d141c5454c26_terseLabel_en-US" xlink:label="lab_bxinfra_AccountingPoliciesLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accounting Policies [Line Items]</link:label>
    <link:label id="lab_bxinfra_AccountingPoliciesLineItems_label_en-US" xlink:label="lab_bxinfra_AccountingPoliciesLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Accounting Policies [Line Items]</link:label>
    <link:label id="lab_bxinfra_AccountingPoliciesLineItems_documentation_en-US" xlink:label="lab_bxinfra_AccountingPoliciesLineItems" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Accounting Policies [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_AccountingPoliciesLineItems" xlink:href="bxinfra-20260930.xsd#bxinfra_AccountingPoliciesLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AccountingPoliciesLineItems" xlink:to="lab_bxinfra_AccountingPoliciesLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ClassITESeriesIIIUnitsMember_019f1937-2165-7dce-b087-ca11f8b046ce_terseLabel_en-US" xlink:label="lab_bxinfra_ClassITESeriesIIIUnitsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Series III-TE Units</link:label>
    <link:label id="lab_bxinfra_ClassITESeriesIIIUnitsMember_label_en-US" xlink:label="lab_bxinfra_ClassITESeriesIIIUnitsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class I-TE Series III Units [Member]</link:label>
    <link:label id="lab_bxinfra_ClassITESeriesIIIUnitsMember_documentation_en-US" xlink:label="lab_bxinfra_ClassITESeriesIIIUnitsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Class I-TE Series III Units</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ClassITESeriesIIIUnitsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ClassITESeriesIIIUnitsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ClassITESeriesIIIUnitsMember" xlink:to="lab_bxinfra_ClassITESeriesIIIUnitsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeTaxDisclosureTextBlock_019f1937-220f-7bfa-bb6b-c56ca0860910_verboseLabel_en-US" xlink:label="lab_us-gaap_IncomeTaxDisclosureTextBlock" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" 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/2026/elts/us-gaap-2026.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"/>
    <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/2026/ecd-2026.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_us-gaap_FairValueMeasurementsFairValueHierarchyDomain_019f1937-2165-765c-a7d8-865a2ec4cb7c_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/2026/elts/us-gaap-2026.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_us-gaap_DebtInstrumentLineItems_019f1937-220f-7cfa-a5b2-8e67523d6c11_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/2026/elts/us-gaap-2026.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_bxinfra_BXINFRAAggregatorCYML.P.Member_019f1937-220f-7729-ab6f-e3777f43952f_terseLabel_en-US" xlink:label="lab_bxinfra_BXINFRAAggregatorCYML.P.Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">BXINFRA Aggregator (CYM) L.P.</link:label>
    <link:label id="lab_bxinfra_BXINFRAAggregatorCYML.P.Member_label_en-US" xlink:label="lab_bxinfra_BXINFRAAggregatorCYML.P.Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">BXINFRA Aggregator (CYM) L.P. [Member]</link:label>
    <link:label id="lab_bxinfra_BXINFRAAggregatorCYML.P.Member_documentation_en-US" xlink:label="lab_bxinfra_BXINFRAAggregatorCYML.P.Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">BXINFRA Aggregator (CYM) L.P.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_BXINFRAAggregatorCYML.P.Member" xlink:href="bxinfra-20260930.xsd#bxinfra_BXINFRAAggregatorCYML.P.Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_BXINFRAAggregatorCYML.P.Member" xlink:to="lab_bxinfra_BXINFRAAggregatorCYML.P.Member" 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/2026/ecd-2026.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_InvestmentCompanyFinancialHighlightsTable_019f1937-2165-70dc-a1f1-a6dde9f2e67d_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialHighlightsTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment Company, Financial Highlights [Table]</link:label>
    <link:label id="lab_us-gaap_InvestmentCompanyFinancialHighlightsTable_label_en-US" xlink:label="lab_us-gaap_InvestmentCompanyFinancialHighlightsTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company, Financial Highlights [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyFinancialHighlightsTable" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentCompanyFinancialHighlightsTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyFinancialHighlightsTable" xlink:to="lab_us-gaap_InvestmentCompanyFinancialHighlightsTable" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_DerivativeTypeDomain_019f1937-2165-7718-96b9-d910dd6e1690_terseLabel_en-US" xlink:label="lab_bxinfra_DerivativeTypeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Type [Domain]</link:label>
    <link:label id="lab_bxinfra_DerivativeTypeDomain_label_en-US" xlink:label="lab_bxinfra_DerivativeTypeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Type [Domain]</link:label>
    <link:label id="lab_bxinfra_DerivativeTypeDomain_documentation_en-US" xlink:label="lab_bxinfra_DerivativeTypeDomain" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Derivative Type [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DerivativeTypeDomain" xlink:href="bxinfra-20260930.xsd#bxinfra_DerivativeTypeDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeTypeDomain" xlink:to="lab_bxinfra_DerivativeTypeDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_RepurchaseAgreementsValuationPolicy_019f1937-2210-740a-a5ea-4510c1dbb772_terseLabel_en-US" xlink:label="lab_us-gaap_RepurchaseAgreementsValuationPolicy" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Repurchase Agreements</link:label>
    <link:label id="lab_us-gaap_RepurchaseAgreementsValuationPolicy_label_en-US" xlink:label="lab_us-gaap_RepurchaseAgreementsValuationPolicy" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Repurchase Agreements, Valuation, Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RepurchaseAgreementsValuationPolicy" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RepurchaseAgreementsValuationPolicy"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RepurchaseAgreementsValuationPolicy" xlink:to="lab_us-gaap_RepurchaseAgreementsValuationPolicy" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityFilerCategory_019f1937-2165-7b5c-a87b-7db05fa660a9_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:label id="lab_dei_EntityFilerCategory_label_en-US" xlink:label="lab_dei_EntityFilerCategory" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeThree_019f1937-220f-7174-b8a6-532c265fee94_terseLabel_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeThree" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Minimum utilization percentage three</link:label>
    <link:label id="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeThree_label_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeThree" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line Of Credit Facility, Minimum Utilization, Percentage, Range Three</link:label>
    <link:label id="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeThree_documentation_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeThree" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Line Of Credit Facility, Minimum Utilization, Percentage, Range Three</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeThree" xlink:href="bxinfra-20260930.xsd#bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeThree"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeThree" xlink:to="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeThree" 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/2026/ecd-2026.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_CashAndCashEquivalentsAtCarryingValue_019f1937-220f-718c-ab6d-6cbb9d9f6cbf_terseLabel_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue" 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_CashAndCashEquivalentsAtCarryingValue_01a0893f-758b-7498-a525-4e8a3579113e_verboseLabel_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Cash and Cash Equivalents, cost</link:label>
    <link:label id="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue_label_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash and Cash Equivalent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:to="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_GeneralPartnerMember_019f1937-2165-7add-8085-a51fc6f4d09b_terseLabel_en-US" xlink:label="lab_us-gaap_GeneralPartnerMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">General Partner</link:label>
    <link:label id="lab_us-gaap_GeneralPartnerMember_label_en-US" xlink:label="lab_us-gaap_GeneralPartnerMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">General Partner [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GeneralPartnerMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_GeneralPartnerMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_GeneralPartnerMember" xlink:to="lab_us-gaap_GeneralPartnerMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_MaturityOver90DaysMember_019f1937-220f-7a98-b390-9d3686387984_terseLabel_en-US" xlink:label="lab_us-gaap_MaturityOver90DaysMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Greater than 90 days</link:label>
    <link:label id="lab_us-gaap_MaturityOver90DaysMember_label_en-US" xlink:label="lab_us-gaap_MaturityOver90DaysMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Maturity Greater than 90 Days [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MaturityOver90DaysMember" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MaturityOver90DaysMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MaturityOver90DaysMember" xlink:to="lab_us-gaap_MaturityOver90DaysMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_APACMember_019f1937-220f-7adb-bd04-bfe3a420d1f2_terseLabel_en-US" xlink:label="lab_bxinfra_APACMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">APAC</link:label>
    <link:label id="lab_bxinfra_APACMember_label_en-US" xlink:label="lab_bxinfra_APACMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">APAC [Member]</link:label>
    <link:label id="lab_bxinfra_APACMember_documentation_en-US" xlink:label="lab_bxinfra_APACMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">APAC</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_APACMember" xlink:href="bxinfra-20260930.xsd#bxinfra_APACMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_APACMember" xlink:to="lab_bxinfra_APACMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ForeignExchangeContractGBPMember_019f1937-220f-7378-821a-c5a418dcbd4b_terseLabel_en-US" xlink:label="lab_bxinfra_ForeignExchangeContractGBPMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign Currency Contracts (GBP)</link:label>
    <link:label id="lab_bxinfra_ForeignExchangeContractGBPMember_label_en-US" xlink:label="lab_bxinfra_ForeignExchangeContractGBPMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Exchange Contract, GBP [Member]</link:label>
    <link:label id="lab_bxinfra_ForeignExchangeContractGBPMember_documentation_en-US" xlink:label="lab_bxinfra_ForeignExchangeContractGBPMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Foreign Exchange Contract, GBP</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ForeignExchangeContractGBPMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ForeignExchangeContractGBPMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ForeignExchangeContractGBPMember" xlink:to="lab_bxinfra_ForeignExchangeContractGBPMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ValuationTechniqueThirdPartyPricingMember_019f1937-220f-7e05-bc28-194fb7d6f01c_terseLabel_en-US" xlink:label="lab_bxinfra_ValuationTechniqueThirdPartyPricingMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Third Party Pricing</link:label>
    <link:label id="lab_bxinfra_ValuationTechniqueThirdPartyPricingMember_label_en-US" xlink:label="lab_bxinfra_ValuationTechniqueThirdPartyPricingMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation Technique Third Party Pricing [Member]</link:label>
    <link:label id="lab_bxinfra_ValuationTechniqueThirdPartyPricingMember_documentation_en-US" xlink:label="lab_bxinfra_ValuationTechniqueThirdPartyPricingMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Valuation Technique Third Party Pricing [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ValuationTechniqueThirdPartyPricingMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ValuationTechniqueThirdPartyPricingMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ValuationTechniqueThirdPartyPricingMember" xlink:to="lab_bxinfra_ValuationTechniqueThirdPartyPricingMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ExpenseSupportPolicyTextBlock_019f1937-220f-7c2d-a37b-0b355e2fa515_terseLabel_en-US" xlink:label="lab_bxinfra_ExpenseSupportPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Expense Support</link:label>
    <link:label id="lab_bxinfra_ExpenseSupportPolicyTextBlock_label_en-US" xlink:label="lab_bxinfra_ExpenseSupportPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Expense Support [Policy Text Block]</link:label>
    <link:label id="lab_bxinfra_ExpenseSupportPolicyTextBlock_documentation_en-US" xlink:label="lab_bxinfra_ExpenseSupportPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Expense support policy text block.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ExpenseSupportPolicyTextBlock" xlink:href="bxinfra-20260930.xsd#bxinfra_ExpenseSupportPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ExpenseSupportPolicyTextBlock" xlink:to="lab_bxinfra_ExpenseSupportPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_DerivativeAssetsAtFairValueMember_019f1937-2165-751a-8c62-771ec3953738_terseLabel_en-US" xlink:label="lab_bxinfra_DerivativeAssetsAtFairValueMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Assets at Fair Value</link:label>
    <link:label id="lab_bxinfra_DerivativeAssetsAtFairValueMember_label_en-US" xlink:label="lab_bxinfra_DerivativeAssetsAtFairValueMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Assets at Fair Value [Member]</link:label>
    <link:label id="lab_bxinfra_DerivativeAssetsAtFairValueMember_documentation_en-US" xlink:label="lab_bxinfra_DerivativeAssetsAtFairValueMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Derivative Assets at Fair Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DerivativeAssetsAtFairValueMember" xlink:href="bxinfra-20260930.xsd#bxinfra_DerivativeAssetsAtFairValueMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeAssetsAtFairValueMember" xlink:to="lab_bxinfra_DerivativeAssetsAtFairValueMember" 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/2026/ecd-2026.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_bxinfra_ClassDLimitedPartnershipACCUnitsMember_019f362d-8cf4-797c-89a0-ad8491f5355c_terseLabel_en-US" xlink:label="lab_bxinfra_ClassDLimitedPartnershipACCUnitsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Class D Limited Partnership ACC Units</link:label>
    <link:label id="lab_bxinfra_ClassDLimitedPartnershipACCUnitsMember_label_en-US" xlink:label="lab_bxinfra_ClassDLimitedPartnershipACCUnitsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class D Limited Partnership ACC Units [Member]</link:label>
    <link:label id="lab_bxinfra_ClassDLimitedPartnershipACCUnitsMember_documentation_en-US" xlink:label="lab_bxinfra_ClassDLimitedPartnershipACCUnitsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Class D Limited Partnership ACC Units</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ClassDLimitedPartnershipACCUnitsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_ClassDLimitedPartnershipACCUnitsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ClassDLimitedPartnershipACCUnitsMember" xlink:to="lab_bxinfra_ClassDLimitedPartnershipACCUnitsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_PercentageOfAnnualHurdleAmount_019f1937-2165-738c-8fce-6373c4b4a211_terseLabel_en-US" xlink:label="lab_bxinfra_PercentageOfAnnualHurdleAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage of annual hurdle amount</link:label>
    <link:label id="lab_bxinfra_PercentageOfAnnualHurdleAmount_label_en-US" xlink:label="lab_bxinfra_PercentageOfAnnualHurdleAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Percentage Of Annual Hurdle Amount</link:label>
    <link:label id="lab_bxinfra_PercentageOfAnnualHurdleAmount_documentation_en-US" xlink:label="lab_bxinfra_PercentageOfAnnualHurdleAmount" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Percentage of annual hurdle amount.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_PercentageOfAnnualHurdleAmount" xlink:href="bxinfra-20260930.xsd#bxinfra_PercentageOfAnnualHurdleAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PercentageOfAnnualHurdleAmount" xlink:to="lab_bxinfra_PercentageOfAnnualHurdleAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_EquityMethodInvestmentDividendsOrDistributions_019f1937-2166-749a-9b6b-95e88fc37318_terseLabel_en-US" xlink:label="lab_us-gaap_EquityMethodInvestmentDividendsOrDistributions" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Proceeds from Investment in BXINFRA U.S.</link:label>
    <link:label id="lab_us-gaap_EquityMethodInvestmentDividendsOrDistributions_label_en-US" xlink:label="lab_us-gaap_EquityMethodInvestmentDividendsOrDistributions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds from Equity Method Investment, Distribution</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EquityMethodInvestmentDividendsOrDistributions" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_EquityMethodInvestmentDividendsOrDistributions"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquityMethodInvestmentDividendsOrDistributions" xlink:to="lab_us-gaap_EquityMethodInvestmentDividendsOrDistributions" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_DerivativeAssetsCost_019f1937-2165-7d05-bac9-41fbcf2f1b87_terseLabel_en-US" xlink:label="lab_bxinfra_DerivativeAssetsCost" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative assets at cost</link:label>
    <link:label id="lab_bxinfra_DerivativeAssetsCost_label_en-US" xlink:label="lab_bxinfra_DerivativeAssetsCost" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Assets, Cost</link:label>
    <link:label id="lab_bxinfra_DerivativeAssetsCost_documentation_en-US" xlink:label="lab_bxinfra_DerivativeAssetsCost" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Derivative assets at cost.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DerivativeAssetsCost" xlink:href="bxinfra-20260930.xsd#bxinfra_DerivativeAssetsCost"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeAssetsCost" xlink:to="lab_bxinfra_DerivativeAssetsCost" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_DerivativeLiabilitiesNotionalAmount_019f1937-220f-79b7-b61d-353efd29b1bf_terseLabel_en-US" xlink:label="lab_bxinfra_DerivativeLiabilitiesNotionalAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Liabilities, Notional</link:label>
    <link:label id="lab_bxinfra_DerivativeLiabilitiesNotionalAmount_label_en-US" xlink:label="lab_bxinfra_DerivativeLiabilitiesNotionalAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Liabilities Notional Amount</link:label>
    <link:label id="lab_bxinfra_DerivativeLiabilitiesNotionalAmount_documentation_en-US" xlink:label="lab_bxinfra_DerivativeLiabilitiesNotionalAmount" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Derivative liabilities notional amount.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DerivativeLiabilitiesNotionalAmount" xlink:href="bxinfra-20260930.xsd#bxinfra_DerivativeLiabilitiesNotionalAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeLiabilitiesNotionalAmount" xlink:to="lab_bxinfra_DerivativeLiabilitiesNotionalAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_RepaymentOfRepurchaseAgreements_019f1937-2210-7616-a0e0-604bc1f24856_negatedTerseLabel_en-US" xlink:label="lab_bxinfra_RepaymentOfRepurchaseAgreements" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Repayment of Repurchase Agreements</link:label>
    <link:label id="lab_bxinfra_RepaymentOfRepurchaseAgreements_label_en-US" xlink:label="lab_bxinfra_RepaymentOfRepurchaseAgreements" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Repayment Of Repurchase Agreements</link:label>
    <link:label id="lab_bxinfra_RepaymentOfRepurchaseAgreements_documentation_en-US" xlink:label="lab_bxinfra_RepaymentOfRepurchaseAgreements" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Repayment of repurchase agreements.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_RepaymentOfRepurchaseAgreements" xlink:href="bxinfra-20260930.xsd#bxinfra_RepaymentOfRepurchaseAgreements"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_RepaymentOfRepurchaseAgreements" xlink:to="lab_bxinfra_RepaymentOfRepurchaseAgreements" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_LineOfCreditFacilityRepaymentPeriod_019f1937-2210-7a68-ad6f-efac22a25def_terseLabel_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityRepaymentPeriod" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Repayment period</link:label>
    <link:label id="lab_bxinfra_LineOfCreditFacilityRepaymentPeriod_label_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityRepaymentPeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Repayment Period</link:label>
    <link:label id="lab_bxinfra_LineOfCreditFacilityRepaymentPeriod_documentation_en-US" xlink:label="lab_bxinfra_LineOfCreditFacilityRepaymentPeriod" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Line of Credit Facility, Repayment Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_LineOfCreditFacilityRepaymentPeriod" xlink:href="bxinfra-20260930.xsd#bxinfra_LineOfCreditFacilityRepaymentPeriod"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_LineOfCreditFacilityRepaymentPeriod" xlink:to="lab_bxinfra_LineOfCreditFacilityRepaymentPeriod" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss_019f1937-2210-7d4e-92bb-d21da30886dd_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">Changes in Unrealized Gain (Loss) Included in Earnings Related to Financial Assets Still Held at the Reporting Date</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/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss" xlink:to="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_SecuredOvernightFinancingRateSofrMember_019f1937-220f-7522-aacd-e292bb9b727b_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/2026/elts/us-gaap-2026.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_bxinfra_MeasurementDomain_019f1937-220f-7bf5-8d8d-d6d6c6767935_terseLabel_en-US" xlink:label="lab_bxinfra_MeasurementDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Measurement [Domain]</link:label>
    <link:label id="lab_bxinfra_MeasurementDomain_label_en-US" xlink:label="lab_bxinfra_MeasurementDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement [Domain]</link:label>
    <link:label id="lab_bxinfra_MeasurementDomain_documentation_en-US" xlink:label="lab_bxinfra_MeasurementDomain" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_MeasurementDomain" xlink:href="bxinfra-20260930.xsd#bxinfra_MeasurementDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_MeasurementDomain" xlink:to="lab_bxinfra_MeasurementDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_NetRealizedAndUnrealizedGainLossOnInvestmentsPolicyTextBlock_019f1937-220f-77de-9292-bff445cc01d1_terseLabel_en-US" xlink:label="lab_bxinfra_NetRealizedAndUnrealizedGainLossOnInvestmentsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net Realized and Unrealized Gain (Loss) on Investments</link:label>
    <link:label id="lab_bxinfra_NetRealizedAndUnrealizedGainLossOnInvestmentsPolicyTextBlock_label_en-US" xlink:label="lab_bxinfra_NetRealizedAndUnrealizedGainLossOnInvestmentsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Realized and Unrealized Gain Loss on Investments [Policy Text Block]</link:label>
    <link:label id="lab_bxinfra_NetRealizedAndUnrealizedGainLossOnInvestmentsPolicyTextBlock_documentation_en-US" xlink:label="lab_bxinfra_NetRealizedAndUnrealizedGainLossOnInvestmentsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Realized and unrealized gain loss on investments policy text block.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_NetRealizedAndUnrealizedGainLossOnInvestmentsPolicyTextBlock" xlink:href="bxinfra-20260930.xsd#bxinfra_NetRealizedAndUnrealizedGainLossOnInvestmentsPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_NetRealizedAndUnrealizedGainLossOnInvestmentsPolicyTextBlock" xlink:to="lab_bxinfra_NetRealizedAndUnrealizedGainLossOnInvestmentsPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_ServicingFees_019f1937-2165-7457-9921-318e7aa3b1a9_negatedTerseLabel_en-US" xlink:label="lab_bxinfra_ServicingFees" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Servicing Fees</link:label>
    <link:label id="lab_bxinfra_ServicingFees_label_en-US" xlink:label="lab_bxinfra_ServicingFees" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Servicing Fees</link:label>
    <link:label id="lab_bxinfra_ServicingFees_documentation_en-US" xlink:label="lab_bxinfra_ServicingFees" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Servicing fees.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_ServicingFees" xlink:href="bxinfra-20260930.xsd#bxinfra_ServicingFees"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ServicingFees" xlink:to="lab_bxinfra_ServicingFees" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_BrentwoodCreditFacilityMember_019f1937-2165-77ae-9e98-0746c68ebe27_terseLabel_en-US" xlink:label="lab_bxinfra_BrentwoodCreditFacilityMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Brentwood Credit Facility</link:label>
    <link:label id="lab_bxinfra_BrentwoodCreditFacilityMember_label_en-US" xlink:label="lab_bxinfra_BrentwoodCreditFacilityMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Brentwood Credit Facility [Member]</link:label>
    <link:label id="lab_bxinfra_BrentwoodCreditFacilityMember_documentation_en-US" xlink:label="lab_bxinfra_BrentwoodCreditFacilityMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Brentwood credit facility.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_BrentwoodCreditFacilityMember" xlink:href="bxinfra-20260930.xsd#bxinfra_BrentwoodCreditFacilityMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_BrentwoodCreditFacilityMember" xlink:to="lab_bxinfra_BrentwoodCreditFacilityMember" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_GrossInvestmentIncomeOperating_019f1937-2165-7374-9d8f-b0e6d9aeb939_totalLabel_en-US" xlink:label="lab_us-gaap_GrossInvestmentIncomeOperating" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total Income</link:label>
    <link:label id="lab_us-gaap_GrossInvestmentIncomeOperating_label_en-US" xlink:label="lab_us-gaap_GrossInvestmentIncomeOperating" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gross Investment Income, Operating</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GrossInvestmentIncomeOperating" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_GrossInvestmentIncomeOperating"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_GrossInvestmentIncomeOperating" xlink:to="lab_us-gaap_GrossInvestmentIncomeOperating" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_IncreaseDecreaseInDeferredTaxAsset_019fbef9-1e9f-70c0-a182-044d81e713bf_negatedTerseLabel_en-US" xlink:label="lab_bxinfra_IncreaseDecreaseInDeferredTaxAsset" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Deferred Tax Asset</link:label>
    <link:label id="lab_bxinfra_IncreaseDecreaseInDeferredTaxAsset_label_en-US" xlink:label="lab_bxinfra_IncreaseDecreaseInDeferredTaxAsset" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) In Deferred Tax Asset</link:label>
    <link:label id="lab_bxinfra_IncreaseDecreaseInDeferredTaxAsset_documentation_en-US" xlink:label="lab_bxinfra_IncreaseDecreaseInDeferredTaxAsset" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Increase (Decrease) In Deferred Tax Asset</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_IncreaseDecreaseInDeferredTaxAsset" xlink:href="bxinfra-20260930.xsd#bxinfra_IncreaseDecreaseInDeferredTaxAsset"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_IncreaseDecreaseInDeferredTaxAsset" xlink:to="lab_bxinfra_IncreaseDecreaseInDeferredTaxAsset" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_StatementOfPartnersCapitalAbstract_label_en-US" xlink:label="lab_us-gaap_StatementOfPartnersCapitalAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statement of Partners' Capital [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StatementOfPartnersCapitalAbstract" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StatementOfPartnersCapitalAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementOfPartnersCapitalAbstract" xlink:to="lab_us-gaap_StatementOfPartnersCapitalAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeLiabilities_019f1937-220f-70b8-ba3a-2980780d534d_terseLabel_en-US" xlink:label="lab_us-gaap_DerivativeLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Liabilities</link:label>
    <link:label id="lab_us-gaap_DerivativeLiabilities_01a1c126-e889-7a86-b3d7-10694789646b_verboseLabel_en-US" xlink:label="lab_us-gaap_DerivativeLiabilities" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Derivative Liability, Fair Value</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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.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_us-gaap_ForeignCurrencyTransactionsAndTranslationsPolicyTextBlock_019f1937-220f-787e-b52d-f567ed3a7d47_terseLabel_en-US" xlink:label="lab_us-gaap_ForeignCurrencyTransactionsAndTranslationsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign Currency</link:label>
    <link:label id="lab_us-gaap_ForeignCurrencyTransactionsAndTranslationsPolicyTextBlock_label_en-US" xlink:label="lab_us-gaap_ForeignCurrencyTransactionsAndTranslationsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Currency Transactions and Translations Policy [Policy Text Block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ForeignCurrencyTransactionsAndTranslationsPolicyTextBlock" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ForeignCurrencyTransactionsAndTranslationsPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ForeignCurrencyTransactionsAndTranslationsPolicyTextBlock" xlink:to="lab_us-gaap_ForeignCurrencyTransactionsAndTranslationsPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityAddressAddressLine1_019f1937-2165-7755-bfd0-bb85719f49bf_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:label id="lab_dei_EntityAddressAddressLine1_label_en-US" xlink:label="lab_dei_EntityAddressAddressLine1" xlink:role="http://www.xbrl.org/2003/role/label" 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/2026/dei-2026.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_bxinfra_InvestmentCompanyServicingFeesPerShare_019f1937-220f-7fc4-8510-22d4b54e9cee_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentCompanyServicingFeesPerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Servicing Fees (in dollars per share)</link:label>
    <link:label id="lab_bxinfra_InvestmentCompanyServicingFeesPerShare_label_en-US" xlink:label="lab_bxinfra_InvestmentCompanyServicingFeesPerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment Company Servicing Fees Per Share</link:label>
    <link:label id="lab_bxinfra_InvestmentCompanyServicingFeesPerShare_documentation_en-US" xlink:label="lab_bxinfra_InvestmentCompanyServicingFeesPerShare" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment company servicing fees per share.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentCompanyServicingFeesPerShare" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentCompanyServicingFeesPerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentCompanyServicingFeesPerShare" xlink:to="lab_bxinfra_InvestmentCompanyServicingFeesPerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_IncomeTaxExpenseBenefit_01a1583e-d2d9-7ac5-a61a-798391fb05e7_netLabel_en-US" xlink:label="lab_us-gaap_IncomeTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:type="resource" xml:lang="en-US">Provision for (Benefit of) Taxes</link:label>
    <link:label id="lab_us-gaap_IncomeTaxExpenseBenefit_019f1937-2166-7b40-a7be-f9c82767da34_terseLabel_en-US" xlink:label="lab_us-gaap_IncomeTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Provision for (Benefit of) Taxes</link:label>
    <link:label id="lab_us-gaap_IncomeTaxExpenseBenefit_label_en-US" xlink:label="lab_us-gaap_IncomeTaxExpenseBenefit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Income Tax Expense (Benefit)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxExpenseBenefit" xlink:to="lab_us-gaap_IncomeTaxExpenseBenefit" 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/2026/ecd-2026.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_us-gaap_ConsolidationPolicyTextBlock_019f1937-220f-7244-b51a-94471cb9a0b7_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">Principles of 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/2026/elts/us-gaap-2026.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_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_019f1937-2165-7d27-8c07-dabc8912afab_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)</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/2026/elts/us-gaap-2026.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_bxinfra_DerivativeLiabilityCost_019f1937-2165-7536-935a-0fce1033f7d1_terseLabel_en-US" xlink:label="lab_bxinfra_DerivativeLiabilityCost" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative liabilities at cost</link:label>
    <link:label id="lab_bxinfra_DerivativeLiabilityCost_label_en-US" xlink:label="lab_bxinfra_DerivativeLiabilityCost" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Liability, Cost</link:label>
    <link:label id="lab_bxinfra_DerivativeLiabilityCost_documentation_en-US" xlink:label="lab_bxinfra_DerivativeLiabilityCost" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Derivative liabilities at cost.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DerivativeLiabilityCost" xlink:href="bxinfra-20260930.xsd#bxinfra_DerivativeLiabilityCost"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeLiabilityCost" xlink:to="lab_bxinfra_DerivativeLiabilityCost" 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/2026/ecd-2026.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_bxinfra_RepurchaseAgreementsTable_019f1937-220f-7c28-9fb0-b57ad61d3624_terseLabel_en-US" xlink:label="lab_bxinfra_RepurchaseAgreementsTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Repurchase Agreements [Table]</link:label>
    <link:label id="lab_bxinfra_RepurchaseAgreementsTable_label_en-US" xlink:label="lab_bxinfra_RepurchaseAgreementsTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Repurchase Agreements [Table]</link:label>
    <link:label id="lab_bxinfra_RepurchaseAgreementsTable_documentation_en-US" xlink:label="lab_bxinfra_RepurchaseAgreementsTable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Repurchase Agreements [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_RepurchaseAgreementsTable" xlink:href="bxinfra-20260930.xsd#bxinfra_RepurchaseAgreementsTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_RepurchaseAgreementsTable" xlink:to="lab_bxinfra_RepurchaseAgreementsTable" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_NumberOfCrossTransactions_01a17b20-8016-729e-8443-ea61f559136e_terseLabel_en-US" xlink:label="lab_bxinfra_NumberOfCrossTransactions" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of cross-transactions</link:label>
    <link:label id="lab_bxinfra_NumberOfCrossTransactions_label_en-US" xlink:label="lab_bxinfra_NumberOfCrossTransactions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Cross Transactions</link:label>
    <link:label id="lab_bxinfra_NumberOfCrossTransactions_documentation_en-US" xlink:label="lab_bxinfra_NumberOfCrossTransactions" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number Of Cross Transactions</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_NumberOfCrossTransactions" xlink:href="bxinfra-20260930.xsd#bxinfra_NumberOfCrossTransactions"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_NumberOfCrossTransactions" xlink:to="lab_bxinfra_NumberOfCrossTransactions" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_NetIncomeLoss_019f1937-2165-7f86-99a2-94dcadd600d9_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 in Net Assets Resulting from Operations</link:label>
    <link:label id="lab_us-gaap_NetIncomeLoss_019f1937-2165-7c98-9829-3530ef5ed983_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 in Net Assets Resulting from Operations</link:label>
    <link:label id="lab_us-gaap_NetIncomeLoss_019f1937-2165-7993-8e6b-227fef44ee5d_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">Net Increase 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/2026/elts/us-gaap-2026.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_LongtermDebtTypeAxis_019f1937-220f-7abe-b5fe-ae50a9afae3d_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/2026/elts/us-gaap-2026.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_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/2026/ecd-2026.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_us-gaap_ValuationTechniqueDiscountedCashFlowMember_019f1937-220f-7858-9b45-5f29e9cf21da_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</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/2026/elts/us-gaap-2026.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_us-gaap_StatementTable_019f1937-220f-719d-81b8-3687d2b8ff4d_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/2026/elts/us-gaap-2026.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_bxinfra_InvestmentInTheAggregatorAbstract_label_en-US" xlink:label="lab_bxinfra_InvestmentInTheAggregatorAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment in the Aggregator [Abstract]</link:label>
    <link:label id="lab_bxinfra_InvestmentInTheAggregatorAbstract_documentation_en-US" xlink:label="lab_bxinfra_InvestmentInTheAggregatorAbstract" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment in the aggregator.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentInTheAggregatorAbstract" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentInTheAggregatorAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentInTheAggregatorAbstract" xlink:to="lab_bxinfra_InvestmentInTheAggregatorAbstract" 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/2026/ecd-2026.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_bxinfra_ClassISeriesIIIUnitsMember_019f1937-2165-7ccd-b8b3-76fc70330bba_verboseLabel_en-US" xlink:label="lab_bxinfra_ClassISeriesIIIUnitsMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Class I Series III Units</link:label>
    <link:label id="lab_bxinfra_ClassISeriesIIIUnitsMember_019f1937-2165-719c-9428-c4437ba4b4d2_terseLabel_en-US" xlink:label="lab_bxinfra_ClassISeriesIIIUnitsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Series III Units</link:label>
    <link:label id="lab_bxinfra_ClassISeriesIIIUnitsMember_label_en-US" xlink:label="lab_bxinfra_ClassISeriesIIIUnitsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Class I Series III Units [Member]</link:label>
    <link:label id="lab_bxinfra_ClassISeriesIIIUnitsMember_documentation_en-US" xlink:label="lab_bxinfra_ClassISeriesIIIUnitsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Class I Series III Units</link:label>
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    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ClassISeriesIIIUnitsMember" xlink:to="lab_bxinfra_ClassISeriesIIIUnitsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_DerivativeLiabilitiesAtFairValueMember_019f1937-2165-7d3f-9d15-da76ff0841fd_terseLabel_en-US" xlink:label="lab_bxinfra_DerivativeLiabilitiesAtFairValueMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Liabilities at Fair Value</link:label>
    <link:label id="lab_bxinfra_DerivativeLiabilitiesAtFairValueMember_label_en-US" xlink:label="lab_bxinfra_DerivativeLiabilitiesAtFairValueMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Liabilities at Fair Value [Member]</link:label>
    <link:label id="lab_bxinfra_DerivativeLiabilitiesAtFairValueMember_documentation_en-US" xlink:label="lab_bxinfra_DerivativeLiabilitiesAtFairValueMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Derivative Liabilities at Fair Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DerivativeLiabilitiesAtFairValueMember" xlink:href="bxinfra-20260930.xsd#bxinfra_DerivativeLiabilitiesAtFairValueMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeLiabilitiesAtFairValueMember" xlink:to="lab_bxinfra_DerivativeLiabilitiesAtFairValueMember" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_UnusedAmountTermAxis_019f1937-2165-7dd1-830e-02676e2ab4f6_terseLabel_en-US" xlink:label="lab_bxinfra_UnusedAmountTermAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unused Amount Term [Axis]</link:label>
    <link:label id="lab_bxinfra_UnusedAmountTermAxis_label_en-US" xlink:label="lab_bxinfra_UnusedAmountTermAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unused Amount Term [Axis]</link:label>
    <link:label id="lab_bxinfra_UnusedAmountTermAxis_documentation_en-US" xlink:label="lab_bxinfra_UnusedAmountTermAxis" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Unused amount term.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_UnusedAmountTermAxis" xlink:href="bxinfra-20260930.xsd#bxinfra_UnusedAmountTermAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_UnusedAmountTermAxis" xlink:to="lab_bxinfra_UnusedAmountTermAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_us-gaap_DerivativeFairValueOfDerivativeAsset_019f1937-220f-797e-9002-908908132354_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">Derivative Assets, Fair Value</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/2026/elts/us-gaap-2026.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_bxinfra_InvestmentsInAffiliatedInvesteeFundsMember_019f1937-2166-7d36-8e7e-cb8c672763df_terseLabel_en-US" xlink:label="lab_bxinfra_InvestmentsInAffiliatedInvesteeFundsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Affiliated Investee Funds</link:label>
    <link:label id="lab_bxinfra_InvestmentsInAffiliatedInvesteeFundsMember_019f1937-2166-74d7-a024-9f9a54a42092_verboseLabel_en-US" xlink:label="lab_bxinfra_InvestmentsInAffiliatedInvesteeFundsMember" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Affiliated Investee Funds</link:label>
    <link:label id="lab_bxinfra_InvestmentsInAffiliatedInvesteeFundsMember_label_en-US" xlink:label="lab_bxinfra_InvestmentsInAffiliatedInvesteeFundsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investments in Affiliated Investee Funds [Member]</link:label>
    <link:label id="lab_bxinfra_InvestmentsInAffiliatedInvesteeFundsMember_documentation_en-US" xlink:label="lab_bxinfra_InvestmentsInAffiliatedInvesteeFundsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investments in Affiliated Investee Funds [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_InvestmentsInAffiliatedInvesteeFundsMember" xlink:href="bxinfra-20260930.xsd#bxinfra_InvestmentsInAffiliatedInvesteeFundsMember"/>
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    <link:label id="lab_us-gaap_CashAndCashEquivalentsAxis_01a0d20f-9895-73de-87f4-cdbef49b0ec3_terseLabel_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash and Cash Equivalents [Axis]</link:label>
    <link:label id="lab_us-gaap_CashAndCashEquivalentsAxis_label_en-US" xlink:label="lab_us-gaap_CashAndCashEquivalentsAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash and Cash Equivalents [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAxis" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashAndCashEquivalentsAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashAndCashEquivalentsAxis" xlink:to="lab_us-gaap_CashAndCashEquivalentsAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_bxinfra_DerivativeInstrumentsPolicyTextBlock_019f1937-2165-7dfd-b32f-9e343bc35628_terseLabel_en-US" xlink:label="lab_bxinfra_DerivativeInstrumentsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Derivative Instruments</link:label>
    <link:label id="lab_bxinfra_DerivativeInstrumentsPolicyTextBlock_label_en-US" xlink:label="lab_bxinfra_DerivativeInstrumentsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Derivative Instruments [Policy Text Block]</link:label>
    <link:label id="lab_bxinfra_DerivativeInstrumentsPolicyTextBlock_documentation_en-US" xlink:label="lab_bxinfra_DerivativeInstrumentsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Derivative instruments.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_bxinfra_DerivativeInstrumentsPolicyTextBlock" xlink:href="bxinfra-20260930.xsd#bxinfra_DerivativeInstrumentsPolicyTextBlock"/>
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    <link:label id="lab_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVenturesFairValueDisclosure_019f1937-2165-76c0-808e-e2c7a106edfa_terseLabel_en-US" xlink:label="lab_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVenturesFairValueDisclosure" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investments in Affiliated Investee Funds at Fair Value (Cost $1,543,213,486 as of September 30, 2026; $802,546,000 as of December 31, 2025)</link:label>
    <link:label id="lab_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVenturesFairValueDisclosure_019f1937-2165-71da-acee-971a0093ca87_verboseLabel_en-US" xlink:label="lab_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVenturesFairValueDisclosure" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Investments in Affiliated Investee Funds</link:label>
    <link:label id="lab_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVenturesFairValueDisclosure_label_en-US" xlink:label="lab_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVenturesFairValueDisclosure" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investments in Affiliates, Subsidiaries, Associates, and Joint Ventures, Fair Value Disclosure</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVenturesFairValueDisclosure" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVenturesFairValueDisclosure"/>
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    <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/2026/ecd-2026.xsd#ecd_PnsnBnftsAdjFnTextBlock"/>
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    <link:label id="lab_us-gaap_FinancialSupportToNonconsolidatedLegalEntityDomain_019f1937-2165-75a2-83d4-611599b9661c_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/2026/elts/us-gaap-2026.xsd#us-gaap_FinancialSupportToNonconsolidatedLegalEntityDomain"/>
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    <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/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract"/>
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    <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/2026/elts/srt-2026.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"/>
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