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        <link:labelLink xlink:type="extended" xlink:role="http://www.xbrl.org/2003/role/link" >
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_CurrentFiscalYearEndDate" xml:lang="en-US">Current Fiscal Year End Date</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_CurrentFiscalYearEndDate" xlink:to="lab_dei_CurrentFiscalYearEndDate" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityWellKnownSeasonedIssuer" xlink:label="loc_dei_EntityWellKnownSeasonedIssuer" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityWellKnownSeasonedIssuer" xml:lang="en-US">Entity Well-known Seasoned Issuer</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityWellKnownSeasonedIssuer" xlink:to="lab_dei_EntityWellKnownSeasonedIssuer" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityCurrentReportingStatus" xlink:label="loc_dei_EntityCurrentReportingStatus" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityCurrentReportingStatus" xml:lang="en-US">Entity Current Reporting Status</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityCurrentReportingStatus" xlink:to="lab_dei_EntityCurrentReportingStatus" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityFilerCategory" xlink:label="loc_dei_EntityFilerCategory" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityFilerCategory" xml:lang="en-US">Entity Filer Category</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityFilerCategory" xlink:to="lab_dei_EntityFilerCategory" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityEmergingGrowthCompany" xlink:label="loc_dei_EntityEmergingGrowthCompany" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityEmergingGrowthCompany" xml:lang="en-US">Entity Emerging Growth Company</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityEmergingGrowthCompany" xlink:to="lab_dei_EntityEmergingGrowthCompany" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntitySmallBusiness" xlink:label="loc_dei_EntitySmallBusiness" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntitySmallBusiness" xml:lang="en-US">Entity Small Business</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntitySmallBusiness" xlink:to="lab_dei_EntitySmallBusiness" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentTransitionReport" xlink:label="loc_dei_DocumentTransitionReport" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_DocumentTransitionReport" xml:lang="en-US">Document Transition Report</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentTransitionReport" xlink:to="lab_dei_DocumentTransitionReport" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentAnnualReport" xlink:label="loc_dei_DocumentAnnualReport" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_DocumentAnnualReport" xml:lang="en-US">Document Annual Report</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentAnnualReport" xlink:to="lab_dei_DocumentAnnualReport" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_Security12bTitle" xlink:label="loc_dei_Security12bTitle" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_Security12bTitle" xml:lang="en-US">Title of 12(b) Security</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_Security12bTitle" xlink:to="lab_dei_Security12bTitle" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_SecurityExchangeName" xlink:label="loc_dei_SecurityExchangeName" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_SecurityExchangeName" xml:lang="en-US">Security Exchange Name</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_SecurityExchangeName" xlink:to="lab_dei_SecurityExchangeName" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityShellCompany" xlink:label="loc_dei_EntityShellCompany" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityShellCompany" xml:lang="en-US">Entity Shell Company</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityShellCompany" xlink:to="lab_dei_EntityShellCompany" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityVoluntaryFilers" xlink:label="loc_dei_EntityVoluntaryFilers" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityVoluntaryFilers" xml:lang="en-US">Entity Voluntary Filers</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityVoluntaryFilers" xlink:to="lab_dei_EntityVoluntaryFilers" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityInteractiveDataCurrent" xlink:label="loc_dei_EntityInteractiveDataCurrent" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityInteractiveDataCurrent" xml:lang="en-US">Entity Interactive Data Current</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityInteractiveDataCurrent" xlink:to="lab_dei_EntityInteractiveDataCurrent" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityFileNumber" xlink:label="loc_dei_EntityFileNumber" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityFileNumber" xml:lang="en-US">Entity File Number</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityFileNumber" xlink:to="lab_dei_EntityFileNumber" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityIncorporationStateCountryCode" xlink:label="loc_dei_EntityIncorporationStateCountryCode" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityIncorporationStateCountryCode" xml:lang="en-US">Entity Incorporation, State or Country Code</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityIncorporationStateCountryCode" xlink:to="lab_dei_EntityIncorporationStateCountryCode" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityTaxIdentificationNumber" xlink:label="loc_dei_EntityTaxIdentificationNumber" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityTaxIdentificationNumber" xml:lang="en-US">Entity Tax Identification Number</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityTaxIdentificationNumber" xlink:to="lab_dei_EntityTaxIdentificationNumber" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressAddressLine1" xlink:label="loc_dei_EntityAddressAddressLine1" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityAddressAddressLine1" xml:lang="en-US">Entity Address, Address Line One</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityAddressAddressLine1" xlink:to="lab_dei_EntityAddressAddressLine1" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_LocalPhoneNumber" xlink:label="loc_dei_LocalPhoneNumber" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_LocalPhoneNumber" xml:lang="en-US">Local Phone Number</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_LocalPhoneNumber" xlink:to="lab_dei_LocalPhoneNumber" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressStateOrProvince" xlink:label="loc_dei_EntityAddressStateOrProvince" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityAddressStateOrProvince" xml:lang="en-US">Entity Address, State or Province</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityAddressStateOrProvince" xlink:to="lab_dei_EntityAddressStateOrProvince" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressCityOrTown" xlink:label="loc_dei_EntityAddressCityOrTown" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityAddressCityOrTown" xml:lang="en-US">Entity Address, City or Town</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityAddressCityOrTown" xlink:to="lab_dei_EntityAddressCityOrTown" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CityAreaCode" xlink:label="loc_dei_CityAreaCode" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_CityAreaCode" xml:lang="en-US">City Area Code</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_CityAreaCode" xlink:to="lab_dei_CityAreaCode" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityAddressPostalZipCode" xlink:label="loc_dei_EntityAddressPostalZipCode" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityAddressPostalZipCode" xml:lang="en-US">Entity Address, Postal Zip Code</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityAddressPostalZipCode" xlink:to="lab_dei_EntityAddressPostalZipCode" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityPublicFloat" xlink:label="loc_dei_EntityPublicFloat" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityPublicFloat" xml:lang="en-US">Entity Public Float</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityPublicFloat" xlink:to="lab_dei_EntityPublicFloat" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityCommonStockSharesOutstanding" xlink:label="loc_dei_EntityCommonStockSharesOutstanding" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityCommonStockSharesOutstanding" xml:lang="en-US">Entity Common Stock, Shares Outstanding</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityCommonStockSharesOutstanding" xlink:to="lab_dei_EntityCommonStockSharesOutstanding" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_AuditorName" xlink:label="loc_dei_AuditorName" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_AuditorName" xml:lang="en-US">Auditor Name</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_AuditorName" xlink:to="lab_dei_AuditorName" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_AuditorFirmId" xlink:label="loc_dei_AuditorFirmId" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_AuditorFirmId" xml:lang="en-US">Auditor Firm ID</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_AuditorFirmId" xlink:to="lab_dei_AuditorFirmId" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_AuditorLocation" xlink:label="loc_dei_AuditorLocation" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_AuditorLocation" xml:lang="en-US">Auditor Location</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_AuditorLocation" xlink:to="lab_dei_AuditorLocation" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentFinStmtErrorCorrectionFlag" xlink:label="loc_dei_DocumentFinStmtErrorCorrectionFlag" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_DocumentFinStmtErrorCorrectionFlag" xml:lang="en-US">Document Financial Statement Error Correction [Flag]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentFinStmtErrorCorrectionFlag" xlink:to="lab_dei_DocumentFinStmtErrorCorrectionFlag" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityExTransitionPeriod" xlink:label="loc_dei_EntityExTransitionPeriod" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityExTransitionPeriod" xml:lang="en-US">Entity Ex Transition Period</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityExTransitionPeriod" xlink:to="lab_dei_EntityExTransitionPeriod" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatementOfFinancialPositionAbstract" xlink:label="loc_us-gaap_StatementOfFinancialPositionAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StatementOfFinancialPositionAbstract" xml:lang="en-US">Statement of Financial Position [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementOfFinancialPositionAbstract" xlink:to="lab_us-gaap_StatementOfFinancialPositionAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatementTable" xlink:label="loc_us-gaap_StatementTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StatementTable" xml:lang="en-US">Statement [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementTable" xlink:to="lab_us-gaap_StatementTable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LimitedPartnersCapitalAccountByClassAxis" xlink:label="loc_us-gaap_LimitedPartnersCapitalAccountByClassAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountByClassAxis" xml:lang="en-US">Limited Partners' Capital Account by Class [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LimitedPartnersCapitalAccountByClassAxis" xlink:to="lab_us-gaap_LimitedPartnersCapitalAccountByClassAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LimitedPartnersCapitalAccountClassDomain" xlink:label="loc_us-gaap_LimitedPartnersCapitalAccountClassDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountClassDomain" xml:lang="en-US">Limited Partners' Capital Account, Class [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LimitedPartnersCapitalAccountClassDomain" xlink:to="lab_us-gaap_LimitedPartnersCapitalAccountClassDomain" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ClassSUnitsMember" xlink:label="loc_bxinfra_ClassSUnitsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ClassSUnitsMember" xml:lang="en-US">Class S Units [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_ClassSUnitsMember" xml:lang="en-US">Class S Units [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_bxinfra_ClassSUnitsMember" xml:lang="en-US">Class&#160;S Units [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ClassSUnitsMember" xlink:to="lab_bxinfra_ClassSUnitsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_ClassSUnitsMember" xml:lang="en-US">Class S units.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ClassDUnitsMember" xlink:label="loc_bxinfra_ClassDUnitsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ClassDUnitsMember" xml:lang="en-US">Class D Units [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_ClassDUnitsMember" xml:lang="en-US">Class D Units [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_bxinfra_ClassDUnitsMember" xml:lang="en-US">Class&#160;D Units [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ClassDUnitsMember" xlink:to="lab_bxinfra_ClassDUnitsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_ClassDUnitsMember" xml:lang="en-US">Class S units.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ClassIUnitsMember" xlink:label="loc_bxinfra_ClassIUnitsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ClassIUnitsMember" xml:lang="en-US">Class I Units [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_ClassIUnitsMember" xml:lang="en-US">Class I Units [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_bxinfra_ClassIUnitsMember" xml:lang="en-US">Class&#160;I Units [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ClassIUnitsMember" xlink:to="lab_bxinfra_ClassIUnitsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_ClassIUnitsMember" xml:lang="en-US">Class I units.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CapitalUnitClassAMember" xlink:label="loc_us-gaap_CapitalUnitClassAMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CapitalUnitClassAMember" xml:lang="en-US">Capital Unit, Class A [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CapitalUnitClassAMember" xml:lang="en-US">Capital Unit, Class A [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_CapitalUnitClassAMember" xml:lang="en-US">Capital Unit, Class A [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CapitalUnitClassAMember" xlink:to="lab_us-gaap_CapitalUnitClassAMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CapitalUnitClassBMember" xlink:label="loc_us-gaap_CapitalUnitClassBMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CapitalUnitClassBMember" xml:lang="en-US">Capital Unit, Class B [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CapitalUnitClassBMember" xml:lang="en-US">Capital Unit, Class B [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_CapitalUnitClassBMember" xml:lang="en-US">Capital Unit, Class B [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CapitalUnitClassBMember" xlink:to="lab_us-gaap_CapitalUnitClassBMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatementLineItems" xlink:label="loc_us-gaap_StatementLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StatementLineItems" xml:lang="en-US">Statement [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementLineItems" xlink:to="lab_us-gaap_StatementLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsAbstract" xlink:label="loc_us-gaap_AssetsAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_AssetsAbstract" xml:lang="en-US">Assets [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_AssetsAbstract" xml:lang="en-US">Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetsAbstract" xlink:to="lab_us-gaap_AssetsAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue" xml:lang="en-US">Cash and Cash Equivalents, at Carrying Value</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue" xml:lang="en-US">Cash and Cash Equivalents</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:to="lab_us-gaap_CashAndCashEquivalentsAtCarryingValue" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Assets" xlink:label="loc_us-gaap_Assets" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_Assets" xml:lang="en-US">Assets</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_Assets" xml:lang="en-US">Total Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_Assets" xlink:to="lab_us-gaap_Assets" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentOwnedAtFairValue" xlink:label="loc_us-gaap_InvestmentOwnedAtFairValue" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentOwnedAtFairValue" xml:lang="en-US">Investment Owned, Fair Value</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentOwnedAtFairValue" xml:lang="en-US">Investments at Fair Value</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_InvestmentOwnedAtFairValue" xml:lang="en-US">Fair Value</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/presentationGuidance" xlink:label="lab_us-gaap_InvestmentOwnedAtFairValue" xml:lang="en-US">Fair Value</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentOwnedAtFairValue" xlink:to="lab_us-gaap_InvestmentOwnedAtFairValue" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DueFromAffiliate" xlink:label="loc_bxinfra_DueFromAffiliate" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DueFromAffiliate" xml:lang="en-US">Due from Affiliate</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_DueFromAffiliate" xml:lang="en-US">Due from Affiliates</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DueFromAffiliate" xlink:to="lab_bxinfra_DueFromAffiliate" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_DueFromAffiliate" xml:lang="en-US">Due from affiliate.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVenturesFairValueDisclosure" xlink:label="loc_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVenturesFairValueDisclosure" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVenturesFairValueDisclosure" xml:lang="en-US">Investments in Affiliates, Subsidiaries, Associates, and Joint Ventures, Fair Value Disclosure</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVenturesFairValueDisclosure" xml:lang="en-US">Investments in Affiliated Investee Funds</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVenturesFairValueDisclosure" xml:lang="en-US">Investee Funds</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVenturesFairValueDisclosure" xlink:to="lab_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVenturesFairValueDisclosure" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredCostsAndOtherAssets" xlink:label="loc_us-gaap_DeferredCostsAndOtherAssets" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DeferredCostsAndOtherAssets" xml:lang="en-US">Deferred Costs and Other Assets</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DeferredCostsAndOtherAssets" xml:lang="en-US">Deferred Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredCostsAndOtherAssets" xlink:to="lab_us-gaap_DeferredCostsAndOtherAssets" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeAssets" xlink:label="loc_us-gaap_DerivativeAssets" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeAssets" xml:lang="en-US">Derivative Asset</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DerivativeAssets" xml:lang="en-US">Derivative Assets at Fair Value</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeAssets" xlink:to="lab_us-gaap_DerivativeAssets" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InterestAndDividendReceivableAndOtherAssets" xlink:label="loc_bxinfra_InterestAndDividendReceivableAndOtherAssets" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_InterestAndDividendReceivableAndOtherAssets" xml:lang="en-US">Interest And Dividend Receivable And OtherAssets</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_bxinfra_InterestAndDividendReceivableAndOtherAssets" xml:lang="en-US">Interest and Dividend Receivable and Other Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InterestAndDividendReceivableAndOtherAssets" xlink:to="lab_bxinfra_InterestAndDividendReceivableAndOtherAssets" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InterestAndDividendReceivableAndOtherAssets" xml:lang="en-US">Interest and dividend receivable and other assets</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_RedemptionsReceivable" xlink:label="loc_bxinfra_RedemptionsReceivable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_RedemptionsReceivable" xml:lang="en-US">Redemptions Receivable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_RedemptionsReceivable" xml:lang="en-US">Redemptions Receivable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_RedemptionsReceivable" xlink:to="lab_bxinfra_RedemptionsReceivable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_RedemptionsReceivable" xml:lang="en-US">Redemptions receivable.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DividendsReceivable" xlink:label="loc_us-gaap_DividendsReceivable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DividendsReceivable" xml:lang="en-US">Dividends Receivable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DividendsReceivable" xml:lang="en-US">Dividend Receivable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendsReceivable" xlink:to="lab_us-gaap_DividendsReceivable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilitiesAndStockholdersEquityAbstract" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LiabilitiesAndStockholdersEquityAbstract" xml:lang="en-US">Liabilities and Equity [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LiabilitiesAndStockholdersEquityAbstract" xml:lang="en-US">Liabilities and Equity</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquityAbstract" xlink:to="lab_us-gaap_LiabilitiesAndStockholdersEquityAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Liabilities" xlink:label="loc_us-gaap_Liabilities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_Liabilities" xml:lang="en-US">Liabilities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_Liabilities" xml:lang="en-US">Total Liabilities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_Liabilities" xlink:to="lab_us-gaap_Liabilities" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherLiabilities" xlink:label="loc_us-gaap_OtherLiabilities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_OtherLiabilities" xml:lang="en-US">Other Liabilities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_OtherLiabilities" xml:lang="en-US">Due to Affiliates</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherLiabilities" xlink:to="lab_us-gaap_OtherLiabilities" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccountsPayableAndOtherAccruedLiabilities" xlink:label="loc_us-gaap_AccountsPayableAndOtherAccruedLiabilities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_AccountsPayableAndOtherAccruedLiabilities" xml:lang="en-US">Accounts Payable and Other Accrued Liabilities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_AccountsPayableAndOtherAccruedLiabilities" xml:lang="en-US">Accounts Payable, Accrued Expenses, and Other Liabilities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AccountsPayableAndOtherAccruedLiabilities" xlink:to="lab_us-gaap_AccountsPayableAndOtherAccruedLiabilities" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ServicingFeesPayable" xlink:label="loc_bxinfra_ServicingFeesPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ServicingFeesPayable" xml:lang="en-US">Servicing Fees Payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_ServicingFeesPayable" xml:lang="en-US">Servicing Fees Payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ServicingFeesPayable" xlink:to="lab_bxinfra_ServicingFeesPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_ServicingFeesPayable" xml:lang="en-US">Servicing fees payable.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PayableInvestmentPurchase" xlink:label="loc_us-gaap_PayableInvestmentPurchase" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_PayableInvestmentPurchase" xml:lang="en-US">Payable, Investment, Purchase</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_PayableInvestmentPurchase" xml:lang="en-US">Payable for Investments Purchased</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PayableInvestmentPurchase" xlink:to="lab_us-gaap_PayableInvestmentPurchase" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherAccruedLiabilitiesCurrentAndNoncurrent" xlink:label="loc_us-gaap_OtherAccruedLiabilitiesCurrentAndNoncurrent" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_OtherAccruedLiabilitiesCurrentAndNoncurrent" xml:lang="en-US">Other Accrued Liabilities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_OtherAccruedLiabilitiesCurrentAndNoncurrent" xml:lang="en-US">Accrued Performance Participation Allocation</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherAccruedLiabilitiesCurrentAndNoncurrent" xlink:to="lab_us-gaap_OtherAccruedLiabilitiesCurrentAndNoncurrent" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeLiabilities" xlink:label="loc_us-gaap_DerivativeLiabilities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeLiabilities" xml:lang="en-US">Derivative Liability</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DerivativeLiabilities" xml:lang="en-US">Derivative Liabilities at Fair Value</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeLiabilities" xlink:to="lab_us-gaap_DerivativeLiabilities" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TaxesPayableCurrentAndNoncurrent" xlink:label="loc_us-gaap_TaxesPayableCurrentAndNoncurrent" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_TaxesPayableCurrentAndNoncurrent" xml:lang="en-US">Taxes Payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_TaxesPayableCurrentAndNoncurrent" xml:lang="en-US">Taxes Payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_TaxesPayableCurrentAndNoncurrent" xlink:to="lab_us-gaap_TaxesPayableCurrentAndNoncurrent" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_OrganizationCostsPayable" xlink:label="loc_bxinfra_OrganizationCostsPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_OrganizationCostsPayable" xml:lang="en-US">Organization Costs Payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_OrganizationCostsPayable" xml:lang="en-US">Organization Costs Payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_OrganizationCostsPayable" xlink:to="lab_bxinfra_OrganizationCostsPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_OrganizationCostsPayable" xml:lang="en-US">Organization costs payable.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_AdministrationFeesPayable" xlink:label="loc_bxinfra_AdministrationFeesPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_AdministrationFeesPayable" xml:lang="en-US">Administration Fees Payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_AdministrationFeesPayable" xml:lang="en-US">Administration Fees Payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AdministrationFeesPayable" xlink:to="lab_bxinfra_AdministrationFeesPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_AdministrationFeesPayable" xml:lang="en-US">Administration fees payable.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_OfferingCostsPayable" xlink:label="loc_bxinfra_OfferingCostsPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_OfferingCostsPayable" xml:lang="en-US">Offering Costs Payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_OfferingCostsPayable" xml:lang="en-US">Offering Costs Payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_OfferingCostsPayable" xlink:to="lab_bxinfra_OfferingCostsPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_OfferingCostsPayable" xml:lang="en-US">Offering costs payable.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_RedemptionsPayable" xlink:label="loc_bxinfra_RedemptionsPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_RedemptionsPayable" xml:lang="en-US">Redemptions Payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_RedemptionsPayable" xml:lang="en-US">Redemptions Payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_RedemptionsPayable" xlink:to="lab_bxinfra_RedemptionsPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_RedemptionsPayable" xml:lang="en-US">Redemptions payable.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DistributionPayable" xlink:label="loc_us-gaap_DistributionPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DistributionPayable" xml:lang="en-US">Distribution Payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_DistributionPayable" xml:lang="en-US">Distributions Payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DistributionPayable" xlink:to="lab_us-gaap_DistributionPayable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredIncomeTaxLiabilitiesNet" xlink:label="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DeferredIncomeTaxLiabilitiesNet" xml:lang="en-US">Deferred Income Tax Liabilities, Net</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DeferredIncomeTaxLiabilitiesNet" xml:lang="en-US">Deferred Tax Liabilities, Net</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet" xlink:to="lab_us-gaap_DeferredIncomeTaxLiabilitiesNet" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCredit" xlink:label="loc_us-gaap_LineOfCredit" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LineOfCredit" xml:lang="en-US">Long-Term Line of Credit</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LineOfCredit" xml:lang="en-US">Credit Facilities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCredit" xlink:to="lab_us-gaap_LineOfCredit" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_RepurchaseAgreements" xlink:label="loc_bxinfra_RepurchaseAgreements" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_RepurchaseAgreements" xml:lang="en-US">Repurchase Agreements</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_RepurchaseAgreements" xlink:to="lab_bxinfra_RepurchaseAgreements" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_RepurchaseAgreements" xml:lang="en-US">Repurchase agreements.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ManagementFeePayable" xlink:label="loc_us-gaap_ManagementFeePayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ManagementFeePayable" xml:lang="en-US">Management Fee Payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_ManagementFeePayable" xml:lang="en-US">Management Fee Payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ManagementFeePayable" xlink:to="lab_us-gaap_ManagementFeePayable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommitmentsAndContingencies" xlink:label="loc_us-gaap_CommitmentsAndContingencies" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CommitmentsAndContingencies" xml:lang="en-US">Commitments and Contingencies</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CommitmentsAndContingencies" xml:lang="en-US">Commitments and Contingencies</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommitmentsAndContingencies" xlink:to="lab_us-gaap_CommitmentsAndContingencies" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PartnersCapitalAbstract" xlink:label="loc_us-gaap_PartnersCapitalAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_PartnersCapitalAbstract" xml:lang="en-US">Partners' Capital [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_PartnersCapitalAbstract" xml:lang="en-US">Net Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PartnersCapitalAbstract" xlink:to="lab_us-gaap_PartnersCapitalAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LimitedPartnersCapitalAccount" xlink:label="loc_us-gaap_LimitedPartnersCapitalAccount" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccount" xml:lang="en-US">Limited Partners' Capital Account</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccount" xml:lang="en-US">Limited Partnership Unit</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LimitedPartnersCapitalAccount" xlink:to="lab_us-gaap_LimitedPartnersCapitalAccount" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GeneralPartnersCapitalAccount" xlink:label="loc_us-gaap_GeneralPartnersCapitalAccount" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_GeneralPartnersCapitalAccount" xml:lang="en-US">General Partners' Capital Account</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_GeneralPartnersCapitalAccount" xml:lang="en-US">General Partner Interest</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_GeneralPartnersCapitalAccount" xlink:to="lab_us-gaap_GeneralPartnersCapitalAccount" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PartnersCapital" xlink:label="loc_us-gaap_PartnersCapital" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_PartnersCapital" xml:lang="en-US">Partners' Capital</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_PartnersCapital" xml:lang="en-US">Total Net Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PartnersCapital" xlink:to="lab_us-gaap_PartnersCapital" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilitiesAndStockholdersEquity" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquity" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LiabilitiesAndStockholdersEquity" xml:lang="en-US">Liabilities and Equity</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_LiabilitiesAndStockholdersEquity" xml:lang="en-US">Total Liabilities and Net Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity" xlink:to="lab_us-gaap_LiabilitiesAndStockholdersEquity" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_LegalEntityAxis" xlink:label="loc_dei_LegalEntityAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_LegalEntityAxis" xml:lang="en-US">Legal Entity [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_LegalEntityAxis" xlink:to="lab_dei_LegalEntityAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityDomain" xlink:label="loc_dei_EntityDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_dei_EntityDomain" xml:lang="en-US">Entity [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityDomain" xlink:to="lab_dei_EntityDomain" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_BXINFRAAggregatorCYMLPMember" xlink:label="loc_bxinfra_BXINFRAAggregatorCYMLPMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_BXINFRAAggregatorCYMLPMember" xml:lang="en-US">BXINFRA Aggregator CYM LP [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_BXINFRAAggregatorCYMLPMember" xml:lang="en-US">BXINFRA Aggregator (CYM) L.P. [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_bxinfra_BXINFRAAggregatorCYMLPMember" xml:lang="en-US">BXINFRA Aggregator (CYM) L.P. [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_BXINFRAAggregatorCYMLPMember" xlink:to="lab_bxinfra_BXINFRAAggregatorCYMLPMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_BXINFRAAggregatorCYMLPMember" xml:lang="en-US">BXINFRA Aggregator (CYM) L.P.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PledgedStatusAxis" xlink:label="loc_us-gaap_PledgedStatusAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_PledgedStatusAxis" xml:lang="en-US">Pledged Status [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PledgedStatusAxis" xlink:to="lab_us-gaap_PledgedStatusAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PledgedStatusDomain" xlink:label="loc_us-gaap_PledgedStatusDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_PledgedStatusDomain" xml:lang="en-US">Pledged Status [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PledgedStatusDomain" xlink:to="lab_us-gaap_PledgedStatusDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetPledgedAsCollateralMember" xlink:label="loc_us-gaap_AssetPledgedAsCollateralMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_AssetPledgedAsCollateralMember" xml:lang="en-US">Asset Pledged as Collateral [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetPledgedAsCollateralMember" xlink:to="lab_us-gaap_AssetPledgedAsCollateralMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetNotPledgedAsCollateralMember" xlink:label="loc_us-gaap_AssetNotPledgedAsCollateralMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_AssetNotPledgedAsCollateralMember" xml:lang="en-US">Asset Not Pledged as Collateral [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetNotPledgedAsCollateralMember" xlink:to="lab_us-gaap_AssetNotPledgedAsCollateralMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LimitedPartnersCapitalAccountDescriptionOfUnits" xlink:label="loc_us-gaap_LimitedPartnersCapitalAccountDescriptionOfUnits" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountDescriptionOfUnits" xml:lang="en-US">Limited Partners' Capital Account, Description of Units</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountDescriptionOfUnits" xml:lang="en-US">Units authorized</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LimitedPartnersCapitalAccountDescriptionOfUnits" xlink:to="lab_us-gaap_LimitedPartnersCapitalAccountDescriptionOfUnits" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LimitedPartnersCapitalAccountUnitsIssued" xlink:label="loc_us-gaap_LimitedPartnersCapitalAccountUnitsIssued" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountUnitsIssued" xml:lang="en-US">Limited Partners' Capital Account, Units Issued</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountUnitsIssued" xml:lang="en-US">Units issued</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LimitedPartnersCapitalAccountUnitsIssued" xlink:to="lab_us-gaap_LimitedPartnersCapitalAccountUnitsIssued" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding" xlink:label="loc_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding" xml:lang="en-US">Limited Partners' Capital Account, Units Outstanding</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding" xml:lang="en-US">Units outstanding</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding" xml:lang="en-US">Beginning Units Outstanding</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="lab_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding" xml:lang="en-US">Ending Units Outstanding</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding" xlink:to="lab_us-gaap_LimitedPartnersCapitalAccountUnitsOutstanding" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentOwnedAtCost" xlink:label="loc_us-gaap_InvestmentOwnedAtCost" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentOwnedAtCost" xml:lang="en-US">Investment Owned, Cost</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentOwnedAtCost" xml:lang="en-US">Investment owned, cost</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentOwnedAtCost" xlink:to="lab_us-gaap_InvestmentOwnedAtCost" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DerivativeAssetsAtCost" xlink:label="loc_bxinfra_DerivativeAssetsAtCost" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DerivativeAssetsAtCost" xml:lang="en-US">Derivative Assets at Cost</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_DerivativeAssetsAtCost" xml:lang="en-US">Derivative assets at cost</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeAssetsAtCost" xlink:to="lab_bxinfra_DerivativeAssetsAtCost" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_DerivativeAssetsAtCost" xml:lang="en-US">Derivative assets at cost.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DerivativeLiabilitiesAtCost" xlink:label="loc_bxinfra_DerivativeLiabilitiesAtCost" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DerivativeLiabilitiesAtCost" xml:lang="en-US">Derivative Liabilities at Cost</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_DerivativeLiabilitiesAtCost" xml:lang="en-US">Derivative liabilities at cost</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeLiabilitiesAtCost" xlink:to="lab_bxinfra_DerivativeLiabilitiesAtCost" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_DerivativeLiabilitiesAtCost" xml:lang="en-US">Derivative liabilities at cost.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIssuerAffiliationAxis" xlink:label="loc_us-gaap_InvestmentIssuerAffiliationAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentIssuerAffiliationAxis" xml:lang="en-US">Investment, Issuer Affiliation [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIssuerAffiliationAxis" xlink:to="lab_us-gaap_InvestmentIssuerAffiliationAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIssuerAffiliationDomain" xlink:label="loc_us-gaap_InvestmentIssuerAffiliationDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentIssuerAffiliationDomain" xml:lang="en-US">Investment, Issuer Affiliation [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIssuerAffiliationDomain" xlink:to="lab_us-gaap_InvestmentIssuerAffiliationDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentAffiliatedIssuerMember" xlink:label="loc_us-gaap_InvestmentAffiliatedIssuerMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentAffiliatedIssuerMember" xml:lang="en-US">Investment, Affiliated Issuer [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentAffiliatedIssuerMember" xlink:to="lab_us-gaap_InvestmentAffiliatedIssuerMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeStatementAbstract" xlink:label="loc_us-gaap_IncomeStatementAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncomeStatementAbstract" xml:lang="en-US">Income Statement [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeStatementAbstract" xlink:to="lab_us-gaap_IncomeStatementAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingExpensesAbstract" xlink:label="loc_us-gaap_OperatingExpensesAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_OperatingExpensesAbstract" xml:lang="en-US">Operating Expenses [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_OperatingExpensesAbstract" xml:lang="en-US">Expenses</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingExpensesAbstract" xlink:to="lab_us-gaap_OperatingExpensesAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProfessionalFees" xlink:label="loc_us-gaap_ProfessionalFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ProfessionalFees" xml:lang="en-US">Professional Fees</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ProfessionalFees" xml:lang="en-US">Professional Fees</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProfessionalFees" xlink:to="lab_us-gaap_ProfessionalFees" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NoninterestExpenseDirectorsFees" xlink:label="loc_us-gaap_NoninterestExpenseDirectorsFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_NoninterestExpenseDirectorsFees" xml:lang="en-US">Noninterest Expense Directors Fees</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_NoninterestExpenseDirectorsFees" xml:lang="en-US">Directors' Fees</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NoninterestExpenseDirectorsFees" xlink:to="lab_us-gaap_NoninterestExpenseDirectorsFees" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_WarehousingFees" xlink:label="loc_bxinfra_WarehousingFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_WarehousingFees" xml:lang="en-US">Warehousing Fees</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_WarehousingFees" xml:lang="en-US">Warehousing Fees</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_WarehousingFees" xlink:to="lab_bxinfra_WarehousingFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_WarehousingFees" xml:lang="en-US">Warehousing Fees.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherExpenses" xlink:label="loc_us-gaap_OtherExpenses" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_OtherExpenses" xml:lang="en-US">Other Expenses</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_OtherExpenses" xml:lang="en-US">Other</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherExpenses" xlink:to="lab_us-gaap_OtherExpenses" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIncomeInvestmentExpense" xlink:label="loc_us-gaap_InvestmentIncomeInvestmentExpense" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentIncomeInvestmentExpense" xml:lang="en-US">Investment Income, Investment Expense</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_InvestmentIncomeInvestmentExpense" xml:lang="en-US">Total Expenses</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIncomeInvestmentExpense" xlink:to="lab_us-gaap_InvestmentIncomeInvestmentExpense" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_WarehousingFeesWaived" xlink:label="loc_bxinfra_WarehousingFeesWaived" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_WarehousingFeesWaived" xml:lang="en-US">Warehousing Fees Waived</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_bxinfra_WarehousingFeesWaived" xml:lang="en-US">Warehousing Fees Waived</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_WarehousingFeesWaived" xlink:to="lab_bxinfra_WarehousingFeesWaived" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_WarehousingFeesWaived" xml:lang="en-US">Warehousing fees waived.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OperatingExpenses" xlink:label="loc_us-gaap_OperatingExpenses" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_OperatingExpenses" xml:lang="en-US">Operating Expenses</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_OperatingExpenses" xml:lang="en-US">Net Expenses</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OperatingExpenses" xlink:to="lab_us-gaap_OperatingExpenses" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ManagementFeeExpense" xlink:label="loc_us-gaap_ManagementFeeExpense" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ManagementFeeExpense" xml:lang="en-US">Management Fee Expense</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ManagementFeeExpense" xml:lang="en-US">Management Fees</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_ManagementFeeExpense" xml:lang="en-US">Management fee expense</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ManagementFeeExpense" xlink:to="lab_us-gaap_ManagementFeeExpense" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_OrganizationalExpenses" xlink:label="loc_bxinfra_OrganizationalExpenses" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_OrganizationalExpenses" xml:lang="en-US">Organizational Expenses</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_OrganizationalExpenses" xml:lang="en-US">Organizational Expenses</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_OrganizationalExpenses" xlink:to="lab_bxinfra_OrganizationalExpenses" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_OrganizationalExpenses" xml:lang="en-US">Organizational expenses.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LaborAndRelatedExpense" xlink:label="loc_us-gaap_LaborAndRelatedExpense" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LaborAndRelatedExpense" xml:lang="en-US">Labor and Related Expense</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LaborAndRelatedExpense" xml:lang="en-US">Performance Participation Allocation</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LaborAndRelatedExpense" xlink:to="lab_us-gaap_LaborAndRelatedExpense" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DeferredOfferingCostsAmortization" xlink:label="loc_bxinfra_DeferredOfferingCostsAmortization" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DeferredOfferingCostsAmortization" xml:lang="en-US">Deferred Offering Costs Amortization</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_DeferredOfferingCostsAmortization" xml:lang="en-US">Deferred Offering Costs Amortization</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DeferredOfferingCostsAmortization" xlink:to="lab_bxinfra_DeferredOfferingCostsAmortization" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_DeferredOfferingCostsAmortization" xml:lang="en-US">Deferred offering costs amortization.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GeneralAndAdministrativeExpense" xlink:label="loc_us-gaap_GeneralAndAdministrativeExpense" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_GeneralAndAdministrativeExpense" xml:lang="en-US">General and Administrative Expense</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_GeneralAndAdministrativeExpense" xml:lang="en-US">Administration Fees</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_GeneralAndAdministrativeExpense" xlink:to="lab_us-gaap_GeneralAndAdministrativeExpense" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyContractualFeeWaived" xlink:label="loc_us-gaap_InvestmentCompanyContractualFeeWaived" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyContractualFeeWaived" xml:lang="en-US">Investment Company, Contractual Fee Waived</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_InvestmentCompanyContractualFeeWaived" xml:lang="en-US">Management Fees Waived</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyContractualFeeWaived" xlink:to="lab_us-gaap_InvestmentCompanyContractualFeeWaived" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ExpenseSupport" xlink:label="loc_bxinfra_ExpenseSupport" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ExpenseSupport" xml:lang="en-US">Expense Support</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_bxinfra_ExpenseSupport" xml:lang="en-US">Expense Support</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ExpenseSupport" xlink:to="lab_bxinfra_ExpenseSupport" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_ExpenseSupport" xml:lang="en-US">Expense support.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InterestExpenseOperating" xlink:label="loc_us-gaap_InterestExpenseOperating" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InterestExpenseOperating" xml:lang="en-US">Interest Expense, Operating</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InterestExpenseOperating" xml:lang="en-US">Interest Expense</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InterestExpenseOperating" xlink:to="lab_us-gaap_InterestExpenseOperating" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DeferredFinancingCostAmortization" xlink:label="loc_bxinfra_DeferredFinancingCostAmortization" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DeferredFinancingCostAmortization" xml:lang="en-US">Deferred Financing Cost Amortization</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_DeferredFinancingCostAmortization" xml:lang="en-US">Deferred Financing Cost Amortization</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DeferredFinancingCostAmortization" xlink:to="lab_bxinfra_DeferredFinancingCostAmortization" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_DeferredFinancingCostAmortization" xml:lang="en-US">Deferred financing cost amortization.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyRealizedAndUnrealizedGainLossOnInvestmentAndForeignCurrencyAbstract" xlink:label="loc_us-gaap_InvestmentCompanyRealizedAndUnrealizedGainLossOnInvestmentAndForeignCurrencyAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyRealizedAndUnrealizedGainLossOnInvestmentAndForeignCurrencyAbstract" xml:lang="en-US">Gain (Loss), Investment and Derivative, Operating, and Foreign Currency Transaction, before Tax [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_InvestmentCompanyRealizedAndUnrealizedGainLossOnInvestmentAndForeignCurrencyAbstract" 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:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyRealizedAndUnrealizedGainLossOnInvestmentAndForeignCurrencyAbstract" xlink:to="lab_us-gaap_InvestmentCompanyRealizedAndUnrealizedGainLossOnInvestmentAndForeignCurrencyAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_UnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTax" xlink:label="loc_us-gaap_UnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTax" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_UnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTax" xml:lang="en-US">Unrealized Gain (Loss), Investment, Derivative, and Foreign Currency Transaction, Operating, after Tax</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_UnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTax" xml:lang="en-US">Net Change in Unrealized Gain (Loss) on Investment in the Aggregator</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTax" xlink:to="lab_us-gaap_UnrealizedGainLossInvestmentDerivativeAndForeignCurrencyTransactionOperatingAfterTax" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_NetIncomeLoss" xml:lang="en-US">Net Increase in Net Assets Resulting from Operations</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetIncomeLoss" xlink:to="lab_us-gaap_NetIncomeLoss" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_UnrealizedGainLossOnInvestments" xml:lang="en-US">Unrealized Gain (Loss) on Investments</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_UnrealizedGainLossOnInvestments" xml:lang="en-US">Net Change in Unrealized Gain (Loss) on Investments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnrealizedGainLossOnInvestments" xlink:to="lab_us-gaap_UnrealizedGainLossOnInvestments" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_UnrealizedGainLossOnDerivatives" xml:lang="en-US">Unrealized Gain (Loss) on Derivatives</link:label>
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          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnrealizedGainLossOnDerivatives" xlink:to="lab_us-gaap_UnrealizedGainLossOnDerivatives" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossRealizedExcludingInvestmentPriceChangeBeforeTax" xml:lang="en-US">Net Change in Unrealized Gain (Loss) on Translation of Assets and Liabilities in Foreign Currencies</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossRealizedExcludingInvestmentPriceChangeBeforeTax" xml:lang="en-US">Net Change in Unrealized Gain (Loss) on Translation of Assets and Liabilities in Foreign Currencies</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ForeignCurrencyTransactionGainLossRealizedExcludingInvestmentPriceChangeBeforeTax" xlink:to="lab_us-gaap_ForeignCurrencyTransactionGainLossRealizedExcludingInvestmentPriceChangeBeforeTax" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyRealizedAndUnrealizedGainLossOnInvestmentAndForeignCurrency" xml:lang="en-US">Gain (Loss), Investment and Derivative, Operating, and Foreign Currency Transaction, before Tax</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_InvestmentCompanyRealizedAndUnrealizedGainLossOnInvestmentAndForeignCurrency" 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:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyRealizedAndUnrealizedGainLossOnInvestmentAndForeignCurrency" xlink:to="lab_us-gaap_InvestmentCompanyRealizedAndUnrealizedGainLossOnInvestmentAndForeignCurrency" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_RealizedGainLossInvestmentAndDerivativeOperatingAfterTax" xml:lang="en-US">Net Realized Loss on Investments, Derivative Instruments, and Translation of Assets and Liabilities in Foreign Currencies</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_RealizedGainLossInvestmentAndDerivativeOperatingAfterTax" xml:lang="en-US">Net Realized Loss on Investments, Derivative Instruments, and Translation of Assets and Liabilities in Foreign Currencies</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RealizedGainLossInvestmentAndDerivativeOperatingAfterTax" xlink:to="lab_us-gaap_RealizedGainLossInvestmentAndDerivativeOperatingAfterTax" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentIncomeNetAbstract" xml:lang="en-US">Income</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIncomeNetAbstract" xlink:to="lab_us-gaap_InvestmentIncomeNetAbstract" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentIncomeInterest" xml:lang="en-US">Investment Income, Interest</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentIncomeInterest" xml:lang="en-US">Interest Income</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIncomeInterest" xlink:to="lab_us-gaap_InvestmentIncomeInterest" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherIncome" xlink:label="loc_us-gaap_OtherIncome" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_OtherIncome" xml:lang="en-US">Other Income</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_OtherIncome" xml:lang="en-US">Other</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherIncome" xlink:to="lab_us-gaap_OtherIncome" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_GrossInvestmentIncomeOperating" xml:lang="en-US">Gross Investment Income, Operating</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_GrossInvestmentIncomeOperating" xml:lang="en-US">Total Income</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_GrossInvestmentIncomeOperating" xlink:to="lab_us-gaap_GrossInvestmentIncomeOperating" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DividendIncomeOperating" xlink:label="loc_us-gaap_DividendIncomeOperating" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_DividendIncomeOperating" xml:lang="en-US">Dividend Income</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DividendIncomeOperating" xlink:to="lab_us-gaap_DividendIncomeOperating" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest" xml:lang="en-US">Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest" xml:lang="en-US">Net Investment Income Before Provision for Taxes</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest" xlink:to="lab_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_IncomeTaxExpenseBenefit" xml:lang="en-US">Income tax expense (benefit)</link:label>
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          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxExpenseBenefit" xlink:to="lab_us-gaap_IncomeTaxExpenseBenefit" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentIncomeNet" xml:lang="en-US">Investment Income, Net</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_InvestmentIncomeNet" xml:lang="en-US">Net Investment Income</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_InvestmentIncomeNet" xml:lang="en-US">Net Investment Income</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIncomeNet" xlink:to="lab_us-gaap_InvestmentIncomeNet" />
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          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyNetAssetsRollForward" xlink:to="lab_us-gaap_InvestmentCompanyNetAssetsRollForward" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_GeneralPartnerInterestMember" xml:lang="en-US">General Partner Interest [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_GeneralPartnerInterestMember" xml:lang="en-US">General Partner Interest [Member]</link:label>
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_GeneralPartnerInterestMember" xml:lang="en-US">General partner interest.</link:label>
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ClassAUnitsMember" xml:lang="en-US">Class A Units [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_ClassAUnitsMember" xml:lang="en-US">Class A Units [Member]</link:label>
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ClassBUnitsMember" xml:lang="en-US">Class B Units [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_ClassBUnitsMember" xml:lang="en-US">Class B Units [Member]</link:label>
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_ClassBUnitsMember" xml:lang="en-US">Class B units.</link:label>
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="lab_us-gaap_AssetsNet" xml:lang="en-US">Ending balance</link:label>
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StockIssuedDuringPeriodValueNewIssues" xml:lang="en-US">Stock Issued During Period, Value, New Issues</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_StockIssuedDuringPeriodValueNewIssues" xml:lang="en-US">Proceeds from Units Issued</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockIssuedDuringPeriodValueNewIssues" xlink:to="lab_us-gaap_StockIssuedDuringPeriodValueNewIssues" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ServicingFees" xlink:label="loc_bxinfra_ServicingFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ServicingFees" xml:lang="en-US">Servicing Fees</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_ServicingFees" xml:lang="en-US">Servicing Fees</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ServicingFees" xlink:to="lab_bxinfra_ServicingFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_ServicingFees" xml:lang="en-US">Servicing fees.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" xlink:label="loc_bxinfra_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" xml:lang="en-US">IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" xml:lang="en-US">Net Change in Unrealized Gain (Loss) on Derivative Instruments</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_bxinfra_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" xml:lang="en-US">Net Change in Unrealized (Gain) Loss on Derivative Instruments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" xlink:to="lab_bxinfra_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" xml:lang="en-US">Increase decrease in unrealized gain loss on derivative instruments</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RealizedInvestmentGainsLosses" xlink:label="loc_us-gaap_RealizedInvestmentGainsLosses" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RealizedInvestmentGainsLosses" xml:lang="en-US">Realized Investment Gains (Losses)</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_RealizedInvestmentGainsLosses" xml:lang="en-US">Net Realized Gain on Investments, Derivative Instruments and Translation of Assets and Liabilities in Foreign Currencies</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RealizedInvestmentGainsLosses" xlink:to="lab_us-gaap_RealizedInvestmentGainsLosses" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:label="loc_bxinfra_RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xml:lang="en-US">Repurchase Of Units Net Of Early Repurchase Deduction</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_bxinfra_RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xml:lang="en-US">Redemption of Units, Net of Early Redemption Deduction</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xlink:to="lab_bxinfra_RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" xml:lang="en-US">Repurchase of units net of early repurchase deduction.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DistributionsOfUnits" xlink:label="loc_bxinfra_DistributionsOfUnits" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DistributionsOfUnits" xml:lang="en-US">Distributions</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_DistributionsOfUnits" xml:lang="en-US">Distributions</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DistributionsOfUnits" xlink:to="lab_bxinfra_DistributionsOfUnits" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_DistributionsOfUnits" xml:lang="en-US">Distributions of units.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DistributionsOnMandatorilyRedeemableSecurities" xlink:label="loc_us-gaap_DistributionsOnMandatorilyRedeemableSecurities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DistributionsOnMandatorilyRedeemableSecurities" xml:lang="en-US">Distributions on Mandatorily Redeemable Securities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_DistributionsOnMandatorilyRedeemableSecurities" xml:lang="en-US">Distributions</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DistributionsOnMandatorilyRedeemableSecurities" xlink:to="lab_us-gaap_DistributionsOnMandatorilyRedeemableSecurities" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockIssuedDuringPeriodValueConversionOfUnits" xlink:label="loc_us-gaap_StockIssuedDuringPeriodValueConversionOfUnits" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StockIssuedDuringPeriodValueConversionOfUnits" xml:lang="en-US">Stock Issued During Period, Value, Conversion of Units</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_StockIssuedDuringPeriodValueConversionOfUnits" xml:lang="en-US">Conversion of Units Between Classes</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockIssuedDuringPeriodValueConversionOfUnits" xlink:to="lab_us-gaap_StockIssuedDuringPeriodValueConversionOfUnits" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DistributionsReinvested" xlink:label="loc_bxinfra_DistributionsReinvested" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DistributionsReinvested" xml:lang="en-US">Distributions Reinvested</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_DistributionsReinvested" xml:lang="en-US">Distributions Reinvested</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DistributionsReinvested" xlink:to="lab_bxinfra_DistributionsReinvested" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_DistributionsReinvested" xml:lang="en-US">Distributions reinvested.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StatementOfCashFlowsAbstract" xlink:label="loc_us-gaap_StatementOfCashFlowsAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StatementOfCashFlowsAbstract" xml:lang="en-US">Statement of Cash Flows [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StatementOfCashFlowsAbstract" xlink:to="lab_us-gaap_StatementOfCashFlowsAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xml:lang="en-US">Net Cash Provided by (Used in) Operating Activities [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xml:lang="en-US">Operating Activities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="lab_us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:label="loc_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xml:lang="en-US">Adjustments to Reconcile Net Income (Loss) to Cash Provided by (Used in) Operating Activities [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xml:lang="en-US">Adjustments to Reconcile Net Increase in Net Assets Resulting from Operations to Net Cash Provided by (Used in) Operating Activities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" xlink:to="lab_us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingAfterTax" xlink:label="loc_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingAfterTax" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingAfterTax" xml:lang="en-US">Unrealized Gain (Loss), Investment and Derivative, Operating, after Tax</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingAfterTax" xml:lang="en-US">Net Change in Unrealized (Gain) Loss on Investment in the Aggregator</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingAfterTax" xlink:to="lab_us-gaap_UnrealizedGainLossInvestmentAndDerivativeOperatingAfterTax" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IssuanceOfStockAndWarrantsForServicesOrClaims" xlink:label="loc_us-gaap_IssuanceOfStockAndWarrantsForServicesOrClaims" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IssuanceOfStockAndWarrantsForServicesOrClaims" xml:lang="en-US">Issuance of Stock and Warrants for Services or Claims</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_IssuanceOfStockAndWarrantsForServicesOrClaims" xml:lang="en-US">Issuance of Class&#160;I Units for Directors' Fees</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IssuanceOfStockAndWarrantsForServicesOrClaims" xlink:to="lab_us-gaap_IssuanceOfStockAndWarrantsForServicesOrClaims" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InvestmentInBxinfraAggregator" xlink:label="loc_bxinfra_InvestmentInBxinfraAggregator" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_InvestmentInBxinfraAggregator" xml:lang="en-US">Investment in BXINFRA Aggregator</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_bxinfra_InvestmentInBxinfraAggregator" xml:lang="en-US">Investment in the Aggregator</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentInBxinfraAggregator" xlink:to="lab_bxinfra_InvestmentInBxinfraAggregator" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InvestmentInBxinfraAggregator" xml:lang="en-US">Investment in bxinfra aggregator</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" xlink:label="loc_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" xml:lang="en-US">Payment for Purchase, Investment, Operating Activity</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" xml:lang="en-US">Purchases of Investments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" xlink:to="lab_us-gaap_PaymentsForPurchaseOfInvestmentOperatingActivity" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity" xlink:label="loc_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity" xml:lang="en-US">Proceeds from Disposition of Investment, Operating Activity</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/definitionGuidance" xlink:label="lab_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity" xml:lang="en-US">Proceeds from Investment in the Aggregator</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity" xlink:to="lab_us-gaap_ProceedsFromDispositionOfInvestmentOperatingActivity" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ForeignCurrencyTransactionGainLossUnrealizedAfterTax" xlink:label="loc_us-gaap_ForeignCurrencyTransactionGainLossUnrealizedAfterTax" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossUnrealizedAfterTax" xml:lang="en-US">Unrealized Gain (Loss), Foreign Currency Transaction, after Tax</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_ForeignCurrencyTransactionGainLossUnrealizedAfterTax" xml:lang="en-US">Net Change in Unrealized (Gain) Loss on Translation of Assets and Liabilities in Foreign Currencies</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ForeignCurrencyTransactionGainLossUnrealizedAfterTax" xlink:to="lab_us-gaap_ForeignCurrencyTransactionGainLossUnrealizedAfterTax" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OtherAmortizationOfDeferredCharges" xlink:label="loc_us-gaap_OtherAmortizationOfDeferredCharges" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_OtherAmortizationOfDeferredCharges" xml:lang="en-US">Amortization of Other Deferred Charges</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_OtherAmortizationOfDeferredCharges" xml:lang="en-US">Deferred Offering Costs Amortization</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OtherAmortizationOfDeferredCharges" xlink:to="lab_us-gaap_OtherAmortizationOfDeferredCharges" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_AmortizationOfDebtInvestmentsLiquid" xlink:label="loc_bxinfra_AmortizationOfDebtInvestmentsLiquid" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_AmortizationOfDebtInvestmentsLiquid" xml:lang="en-US">Amortization Of Debt Investments Liquid</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_AmortizationOfDebtInvestmentsLiquid" xml:lang="en-US">Net Amortization of Debt Investments - Liquids</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AmortizationOfDebtInvestmentsLiquid" xlink:to="lab_bxinfra_AmortizationOfDebtInvestmentsLiquid" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_AmortizationOfDebtInvestmentsLiquid" xml:lang="en-US">Amortization of debt investments liquid.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_AccretionOfDebtInvestmentsInfrastructure" xlink:label="loc_bxinfra_AccretionOfDebtInvestmentsInfrastructure" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_AccretionOfDebtInvestmentsInfrastructure" xml:lang="en-US">Accretion Of Debt Investments Infrastructure</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_AccretionOfDebtInvestmentsInfrastructure" xml:lang="en-US">Net Accretion of Debt Investments - Infrastructure</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AccretionOfDebtInvestmentsInfrastructure" xlink:to="lab_bxinfra_AccretionOfDebtInvestmentsInfrastructure" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_AccretionOfDebtInvestmentsInfrastructure" xml:lang="en-US">Accretion of debt investments infrastructure.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xlink:label="loc_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xml:lang="en-US">Increase (Decrease) in Operating Capital [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xml:lang="en-US">Cash Flows Due to Changes in Operating Assets and Liabilities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" xlink:to="lab_us-gaap_IncreaseDecreaseInOperatingCapitalAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities" xml:lang="en-US">Increase (Decrease) in Other Accounts Payable and Accrued Liabilities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities" xml:lang="en-US">Accounts Payable, Accrued Expenses and Other Liabilities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities" xlink:to="lab_us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities" xml:lang="en-US">Net Cash Provided by (Used in) Operating Activities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities" xml:lang="en-US">Net Cash Used in Operating Activities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:to="lab_us-gaap_NetCashProvidedByUsedInOperatingActivities" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseDueFromAffiliates" xlink:label="loc_us-gaap_IncreaseDecreaseDueFromAffiliates" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseDueFromAffiliates" xml:lang="en-US">Increase (Decrease) Due from Affiliates</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_IncreaseDecreaseDueFromAffiliates" xml:lang="en-US">Due from Affiliates</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseDueFromAffiliates" xlink:to="lab_us-gaap_IncreaseDecreaseDueFromAffiliates" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInOtherOperatingAssets" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherOperatingAssets" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInOtherOperatingAssets" xml:lang="en-US">Increase (Decrease) in Other Operating Assets</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_IncreaseDecreaseInOtherOperatingAssets" xml:lang="en-US">Interest and Dividend Receivable and Other Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInOtherOperatingAssets" xlink:to="lab_us-gaap_IncreaseDecreaseInOtherOperatingAssets" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInDeferredCharges" xlink:label="loc_us-gaap_IncreaseDecreaseInDeferredCharges" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInDeferredCharges" xml:lang="en-US">Increase (Decrease) in Deferred Charges</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_IncreaseDecreaseInDeferredCharges" xml:lang="en-US">Deferred Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInDeferredCharges" xlink:to="lab_us-gaap_IncreaseDecreaseInDeferredCharges" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInDueToAffiliates" xlink:label="loc_us-gaap_IncreaseDecreaseInDueToAffiliates" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInDueToAffiliates" xml:lang="en-US">Increase (Decrease) in Due to Affiliates</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/definitionGuidance" xlink:label="lab_us-gaap_IncreaseDecreaseInDueToAffiliates" xml:lang="en-US">Due to Affiliates</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInDueToAffiliates" xlink:to="lab_us-gaap_IncreaseDecreaseInDueToAffiliates" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities" xml:lang="en-US">Increase (Decrease) in Accounts Payable and Accrued Liabilities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/definitionGuidance" xlink:label="lab_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities" xml:lang="en-US">Accounts Payable, Accrued Expenses, and Other Liabilities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities" xlink:to="lab_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased" xlink:label="loc_us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased" xml:lang="en-US">Increase (Decrease) in Payable for Investment Purchased</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/definitionGuidance" xlink:label="lab_us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased" xml:lang="en-US">Payable for Investments Purchased</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased" xlink:to="lab_us-gaap_IncreaseDecreaseInPayableForInvestmentPurchased" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable" xlink:label="loc_us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable" xml:lang="en-US">Increase (Decrease) in Income Taxes Payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/definitionGuidance" xlink:label="lab_us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable" xml:lang="en-US">Taxes Payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable" xlink:to="lab_us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInAdministrativeFeePayable" xlink:label="loc_us-gaap_IncreaseDecreaseInAdministrativeFeePayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInAdministrativeFeePayable" xml:lang="en-US">Increase (Decrease) in Administrative Fee Payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/definitionGuidance" xlink:label="lab_us-gaap_IncreaseDecreaseInAdministrativeFeePayable" xml:lang="en-US">Administration Fees Payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInAdministrativeFeePayable" xlink:to="lab_us-gaap_IncreaseDecreaseInAdministrativeFeePayable" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_IncreaseDecreaseInOrganizationCostsPayable" xlink:label="loc_bxinfra_IncreaseDecreaseInOrganizationCostsPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_IncreaseDecreaseInOrganizationCostsPayable" xml:lang="en-US">IncreaseDecreaseInOrganizationCostsPayable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/definitionGuidance" xlink:label="lab_bxinfra_IncreaseDecreaseInOrganizationCostsPayable" xml:lang="en-US">Organization Costs Payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_IncreaseDecreaseInOrganizationCostsPayable" xlink:to="lab_bxinfra_IncreaseDecreaseInOrganizationCostsPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_IncreaseDecreaseInOrganizationCostsPayable" xml:lang="en-US">Increase decrease in organization costs payable</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_IncreaseDecreaseInAccruedPerformanceParticipationAllocation" xlink:label="loc_bxinfra_IncreaseDecreaseInAccruedPerformanceParticipationAllocation" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_IncreaseDecreaseInAccruedPerformanceParticipationAllocation" xml:lang="en-US">IncreaseDecreaseInAccruedPerformanceParticipationAllocation</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/definitionGuidance" xlink:label="lab_bxinfra_IncreaseDecreaseInAccruedPerformanceParticipationAllocation" xml:lang="en-US">Accrued Performance Participation Allocation</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_IncreaseDecreaseInAccruedPerformanceParticipationAllocation" xlink:to="lab_bxinfra_IncreaseDecreaseInAccruedPerformanceParticipationAllocation" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_IncreaseDecreaseInAccruedPerformanceParticipationAllocation" xml:lang="en-US">Increase decrease in accrued performance participation allocation</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_IncreaseDecreaseInOfferingCostsPayable" xlink:label="loc_bxinfra_IncreaseDecreaseInOfferingCostsPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_IncreaseDecreaseInOfferingCostsPayable" xml:lang="en-US">IncreaseDecreaseInOfferingCostsPayable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/definitionGuidance" xlink:label="lab_bxinfra_IncreaseDecreaseInOfferingCostsPayable" xml:lang="en-US">Offering Costs Payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_IncreaseDecreaseInOfferingCostsPayable" xlink:to="lab_bxinfra_IncreaseDecreaseInOfferingCostsPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_IncreaseDecreaseInOfferingCostsPayable" xml:lang="en-US">Increase decrease in offering costs payable.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInDeferredLiabilities" xlink:label="loc_us-gaap_IncreaseDecreaseInDeferredLiabilities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInDeferredLiabilities" xml:lang="en-US">Increase (Decrease) in Deferred Liabilities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_IncreaseDecreaseInDeferredLiabilities" xml:lang="en-US">Deferred Tax Liabilities, Net</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInDeferredLiabilities" xlink:to="lab_us-gaap_IncreaseDecreaseInDeferredLiabilities" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInManagementFeePayable" xlink:label="loc_us-gaap_IncreaseDecreaseInManagementFeePayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInManagementFeePayable" xml:lang="en-US">Increase (Decrease) in Management Fee Payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_IncreaseDecreaseInManagementFeePayable" xml:lang="en-US">Management Fee Payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInManagementFeePayable" xlink:to="lab_us-gaap_IncreaseDecreaseInManagementFeePayable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncreaseDecreaseInDividendsReceivable" xlink:label="loc_us-gaap_IncreaseDecreaseInDividendsReceivable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncreaseDecreaseInDividendsReceivable" xml:lang="en-US">Increase (Decrease) in Dividends Receivable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_IncreaseDecreaseInDividendsReceivable" xml:lang="en-US">Dividend Receivable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncreaseDecreaseInDividendsReceivable" xlink:to="lab_us-gaap_IncreaseDecreaseInDividendsReceivable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xml:lang="en-US">Net Cash Provided by (Used in) Financing Activities [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xml:lang="en-US">Financing Activities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" xlink:to="lab_us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromIssuanceOfCommonLimitedPartnersUnits" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfCommonLimitedPartnersUnits" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfCommonLimitedPartnersUnits" xml:lang="en-US">Proceeds from Issuance of Common Limited Partners Units</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfCommonLimitedPartnersUnits" xml:lang="en-US">Proceeds from Issuance of Units</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_ProceedsFromIssuanceOfCommonLimitedPartnersUnits" xml:lang="en-US">Proceeds from issuance of common limited partners units</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromIssuanceOfCommonLimitedPartnersUnits" xlink:to="lab_us-gaap_ProceedsFromIssuanceOfCommonLimitedPartnersUnits" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_PaymentForServicingFees" xlink:label="loc_bxinfra_PaymentForServicingFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_PaymentForServicingFees" xml:lang="en-US">Payment for Servicing Fees</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_bxinfra_PaymentForServicingFees" xml:lang="en-US">Payment for Servicing Fees</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PaymentForServicingFees" xlink:to="lab_bxinfra_PaymentForServicingFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_PaymentForServicingFees" xml:lang="en-US">Payment for servicing fees.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_NetCashProvidedByUsedInFinancingActivities" xml:lang="en-US">Net Cash Provided by (Used in) Financing Activities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_NetCashProvidedByUsedInFinancingActivities" xml:lang="en-US">Net Cash Provided by Financing Activities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities" xlink:to="lab_us-gaap_NetCashProvidedByUsedInFinancingActivities" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DistributionMadeToLimitedPartnerCashDistributionsPaid" xlink:label="loc_us-gaap_DistributionMadeToLimitedPartnerCashDistributionsPaid" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DistributionMadeToLimitedPartnerCashDistributionsPaid" xml:lang="en-US">Distribution Made to Limited Partner, Cash Distributions Paid</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:label="lab_us-gaap_DistributionMadeToLimitedPartnerCashDistributionsPaid" xml:lang="en-US">Distributions Paid in Cash</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DistributionMadeToLimitedPartnerCashDistributionsPaid" xlink:to="lab_us-gaap_DistributionMadeToLimitedPartnerCashDistributionsPaid" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ProceedsFromDistributionReinvested" xlink:label="loc_bxinfra_ProceedsFromDistributionReinvested" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ProceedsFromDistributionReinvested" xml:lang="en-US">Proceeds From Distribution Reinvested</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_ProceedsFromDistributionReinvested" xml:lang="en-US">Distribution Reinvested</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ProceedsFromDistributionReinvested" xlink:to="lab_bxinfra_ProceedsFromDistributionReinvested" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_ProceedsFromDistributionReinvested" xml:lang="en-US">Proceeds from distribution reinvested.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ProceedsFromRepurchaseAgreements" xlink:label="loc_bxinfra_ProceedsFromRepurchaseAgreements" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ProceedsFromRepurchaseAgreements" xml:lang="en-US">Proceeds From Repurchase Agreements</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_ProceedsFromRepurchaseAgreements" xml:lang="en-US">Proceeds from Repurchase Agreements</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ProceedsFromRepurchaseAgreements" xlink:to="lab_bxinfra_ProceedsFromRepurchaseAgreements" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_ProceedsFromRepurchaseAgreements" xml:lang="en-US">Proceeds from repurchase agreements</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_RepaymentOfRepurchaseAgreements" xlink:label="loc_bxinfra_RepaymentOfRepurchaseAgreements" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_RepaymentOfRepurchaseAgreements" xml:lang="en-US">Repayment Of Repurchase Agreements</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_bxinfra_RepaymentOfRepurchaseAgreements" xml:lang="en-US">Repayment of Repurchase Agreements</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_RepaymentOfRepurchaseAgreements" xlink:to="lab_bxinfra_RepaymentOfRepurchaseAgreements" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_RepaymentOfRepurchaseAgreements" xml:lang="en-US">Repayment of repurchase agreements.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ProceedsFromLinesOfCredit" xlink:label="loc_us-gaap_ProceedsFromLinesOfCredit" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ProceedsFromLinesOfCredit" xml:lang="en-US">Proceeds from Lines of Credit</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ProceedsFromLinesOfCredit" xml:lang="en-US">Proceeds from Credit Facilities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ProceedsFromLinesOfCredit" xlink:to="lab_us-gaap_ProceedsFromLinesOfCredit" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DistributionsPaidInCash" xlink:label="loc_bxinfra_DistributionsPaidInCash" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DistributionsPaidInCash" xml:lang="en-US">Distributions Paid In Cash</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_bxinfra_DistributionsPaidInCash" xml:lang="en-US">Distributions Paid in Cash</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DistributionsPaidInCash" xlink:to="lab_bxinfra_DistributionsPaidInCash" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_DistributionsPaidInCash" xml:lang="en-US">Distributions paid in cash</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_PaymentsForRedemptions" xlink:label="loc_bxinfra_PaymentsForRedemptions" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_PaymentsForRedemptions" xml:lang="en-US">Payments For Redemptions</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_bxinfra_PaymentsForRedemptions" xml:lang="en-US">Payments for Redemptions</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PaymentsForRedemptions" xlink:to="lab_bxinfra_PaymentsForRedemptions" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_PaymentsForRedemptions" xml:lang="en-US">Payments for redemptions.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RepaymentsOfLinesOfCredit" xlink:label="loc_us-gaap_RepaymentsOfLinesOfCredit" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RepaymentsOfLinesOfCredit" xml:lang="en-US">Repayments of Lines of Credit</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_RepaymentsOfLinesOfCredit" xml:lang="en-US">Repayment of Credit Facilities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RepaymentsOfLinesOfCredit" xlink:to="lab_us-gaap_RepaymentsOfLinesOfCredit" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_RedemptionOfUnitsNetOfEarlyRedemptionDeduction" xlink:label="loc_bxinfra_RedemptionOfUnitsNetOfEarlyRedemptionDeduction" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_RedemptionOfUnitsNetOfEarlyRedemptionDeduction" xml:lang="en-US">Redemption Of Units Net Of Early Redemption Deduction</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_bxinfra_RedemptionOfUnitsNetOfEarlyRedemptionDeduction" xml:lang="en-US">Redemption of Units, Net of Early Redemption Deduction</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_RedemptionOfUnitsNetOfEarlyRedemptionDeduction" xlink:to="lab_bxinfra_RedemptionOfUnitsNetOfEarlyRedemptionDeduction" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_RedemptionOfUnitsNetOfEarlyRedemptionDeduction" xml:lang="en-US">Redemption of units net of early redemption deduction.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashAndCashEquivalentsAbstract" xlink:label="loc_us-gaap_CashAndCashEquivalentsAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CashAndCashEquivalentsAbstract" xml:lang="en-US">Cash and Cash Equivalents [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CashAndCashEquivalentsAbstract" xml:lang="en-US">Cash and Cash Equivalents</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashAndCashEquivalentsAbstract" xlink:to="lab_us-gaap_CashAndCashEquivalentsAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect" 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:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect" xml:lang="en-US">Net Increase</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect" xlink:to="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xml:lang="en-US">Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xml:lang="en-US">Beginning of Period</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xml:lang="en-US">End of Period</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:to="lab_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract" xlink:label="loc_us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract" xml:lang="en-US">Cash Flow, Noncash Investing and Financing Activities Disclosure [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract" xml:lang="en-US">Supplemental Disclosure of Non-Cash Financing Activities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract" xlink:to="lab_us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_AccruedServicingFees" xlink:label="loc_bxinfra_AccruedServicingFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_AccruedServicingFees" xml:lang="en-US">Accrued Servicing Fees</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_AccruedServicingFees" xml:lang="en-US">Accrued Servicing Fees</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AccruedServicingFees" xlink:to="lab_bxinfra_AccruedServicingFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_AccruedServicingFees" xml:lang="en-US">Accrued servicing fees.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_RedemptionsOfUnits" xlink:label="loc_bxinfra_RedemptionsOfUnits" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_RedemptionsOfUnits" xml:lang="en-US">Redemptions of Units</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_RedemptionsOfUnits" xml:lang="en-US">Redemptions of Units</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_RedemptionsOfUnits" xlink:to="lab_bxinfra_RedemptionsOfUnits" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_RedemptionsOfUnits" xml:lang="en-US">Redemptions of units.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_NonCashOrPartNonCashDistributionsPayable" xlink:label="loc_bxinfra_NonCashOrPartNonCashDistributionsPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_NonCashOrPartNonCashDistributionsPayable" xml:lang="en-US">Distributions Payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_NonCashOrPartNonCashDistributionsPayable" xml:lang="en-US">Distributions Payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_NonCashOrPartNonCashDistributionsPayable" xlink:to="lab_bxinfra_NonCashOrPartNonCashDistributionsPayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_NonCashOrPartNonCashDistributionsPayable" xml:lang="en-US">Non cash or part non cash distributions payable.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DistributionsreinvestedOfNonCashFinancingActivities" xlink:label="loc_bxinfra_DistributionsreinvestedOfNonCashFinancingActivities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DistributionsreinvestedOfNonCashFinancingActivities" xml:lang="en-US">DistributionsReinvested of Non Cash Financing Activities</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_DistributionsreinvestedOfNonCashFinancingActivities" xml:lang="en-US">Distributions Reinvested</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DistributionsreinvestedOfNonCashFinancingActivities" xlink:to="lab_bxinfra_DistributionsreinvestedOfNonCashFinancingActivities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_DistributionsreinvestedOfNonCashFinancingActivities" xml:lang="en-US">Distributions&#160;reinvested of non cash financing activities.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SupplementalCashFlowInformationAbstract" xlink:label="loc_us-gaap_SupplementalCashFlowInformationAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SupplementalCashFlowInformationAbstract" xml:lang="en-US">Supplemental Cash Flow Information [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_SupplementalCashFlowInformationAbstract" xml:lang="en-US">Supplemental Disclosure of Cash Flows Information</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SupplementalCashFlowInformationAbstract" xlink:to="lab_us-gaap_SupplementalCashFlowInformationAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxesPaidNet" xlink:label="loc_us-gaap_IncomeTaxesPaidNet" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncomeTaxesPaidNet" xml:lang="en-US">Income Taxes Paid, Net</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_IncomeTaxesPaidNet" xml:lang="en-US">Payments for Income Taxes</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxesPaidNet" xlink:to="lab_us-gaap_IncomeTaxesPaidNet" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsDisposalGroupIncludingDiscontinuedOperations" xlink:label="loc_us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsDisposalGroupIncludingDiscontinuedOperations" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsDisposalGroupIncludingDiscontinuedOperations" xml:lang="en-US">Effect of Exchange Rate on Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Discontinued Operation</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsDisposalGroupIncludingDiscontinuedOperations" xml:lang="en-US">Effects of Exchange Rate Changes on Cash and Cash Equivalents</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsDisposalGroupIncludingDiscontinuedOperations" xlink:to="lab_us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsDisposalGroupIncludingDiscontinuedOperations" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfInvestmentsAbstract" xlink:label="loc_us-gaap_ScheduleOfInvestmentsAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ScheduleOfInvestmentsAbstract" xml:lang="en-US">Schedule of Investments [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfInvestmentsAbstract" xlink:to="lab_us-gaap_ScheduleOfInvestmentsAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SummaryOfInvestmentHoldingsTable" xlink:label="loc_us-gaap_SummaryOfInvestmentHoldingsTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SummaryOfInvestmentHoldingsTable" xml:lang="en-US">Investment Holdings [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SummaryOfInvestmentHoldingsTable" xlink:to="lab_us-gaap_SummaryOfInvestmentHoldingsTable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentIdentifierAxis" xlink:label="loc_us-gaap_InvestmentIdentifierAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentIdentifierAxis" xml:lang="en-US">Investment, Identifier [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentIdentifierAxis" xlink:to="lab_us-gaap_InvestmentIdentifierAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SummaryOfInvestmentHoldingsLineItems" xlink:label="loc_us-gaap_SummaryOfInvestmentHoldingsLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SummaryOfInvestmentHoldingsLineItems" xml:lang="en-US">Summary of Investment Holdings [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SummaryOfInvestmentHoldingsLineItems" xlink:to="lab_us-gaap_SummaryOfInvestmentHoldingsLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentOwnedPercentOfNetAssets" xlink:label="loc_us-gaap_InvestmentOwnedPercentOfNetAssets" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentOwnedPercentOfNetAssets" xml:lang="en-US">Investment Owned, Net Assets, Percentage</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentOwnedPercentOfNetAssets" xml:lang="en-US">Fair&#160;Value as a Percentage of Net Assets</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_InvestmentOwnedPercentOfNetAssets" xml:lang="en-US">Investment net assets percentage</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentOwnedPercentOfNetAssets" xlink:to="lab_us-gaap_InvestmentOwnedPercentOfNetAssets" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfInvestmentsTable" xlink:label="loc_us-gaap_ScheduleOfInvestmentsTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ScheduleOfInvestmentsTable" xml:lang="en-US">Schedule of Investments [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfInvestmentsTable" xlink:to="lab_us-gaap_ScheduleOfInvestmentsTable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfInvestmentsLineItems" xlink:label="loc_us-gaap_ScheduleOfInvestmentsLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ScheduleOfInvestmentsLineItems" xml:lang="en-US">Schedule of Investments [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfInvestmentsLineItems" xlink:to="lab_us-gaap_ScheduleOfInvestmentsLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentOwnedBalanceShares" xlink:label="loc_us-gaap_InvestmentOwnedBalanceShares" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentOwnedBalanceShares" xml:lang="en-US">Investment Owned, Balance, Shares</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentOwnedBalanceShares" xml:lang="en-US">Investment owned, balance, shares</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentOwnedBalanceShares" xlink:to="lab_us-gaap_InvestmentOwnedBalanceShares" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Cash" xlink:label="loc_us-gaap_Cash" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_Cash" xml:lang="en-US">Cash</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_Cash" xml:lang="en-US">Cash</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_Cash" xlink:to="lab_us-gaap_Cash" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquityMethodInvestmentOwnershipPercentage" xlink:label="loc_us-gaap_EquityMethodInvestmentOwnershipPercentage" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_EquityMethodInvestmentOwnershipPercentage" xml:lang="en-US">Equity Method Investment, Ownership Percentage</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_EquityMethodInvestmentOwnershipPercentage" xml:lang="en-US">Equity method investment, ownership percentage</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquityMethodInvestmentOwnershipPercentage" xlink:to="lab_us-gaap_EquityMethodInvestmentOwnershipPercentage" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent" xlink:label="loc_us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent" xml:lang="en-US">Equity Securities, FV-NI</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent" xml:lang="en-US">Equity securities, FV-NI</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent" xlink:to="lab_us-gaap_EquitySecuritiesFvNiCurrentAndNoncurrent" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_RangeAxis" xlink:label="loc_srt_RangeAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_RangeAxis" xml:lang="en-US">Statistical Measurement [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_RangeAxis" xlink:to="lab_srt_RangeAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_RangeMember" xlink:label="loc_srt_RangeMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_RangeMember" xml:lang="en-US">Statistical Measurement [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_RangeMember" xlink:to="lab_srt_RangeMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_MaximumMember" xlink:label="loc_srt_MaximumMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_MaximumMember" xml:lang="en-US">Maximum [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_srt_MaximumMember" xml:lang="en-US">Maximum [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_MaximumMember" xlink:to="lab_srt_MaximumMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis" xlink:label="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis" xml:lang="en-US">Investment, Name [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis" xlink:to="lab_srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_EquityMethodInvesteeNameDomain" xlink:label="loc_srt_EquityMethodInvesteeNameDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_EquityMethodInvesteeNameDomain" xml:lang="en-US">Investment, Name [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_EquityMethodInvesteeNameDomain" xlink:to="lab_srt_EquityMethodInvesteeNameDomain" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_OdysseyHoldcoLlcAndOdysseyHoldcoIiLlcMember" xlink:label="loc_bxinfra_OdysseyHoldcoLlcAndOdysseyHoldcoIiLlcMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_OdysseyHoldcoLlcAndOdysseyHoldcoIiLlcMember" xml:lang="en-US">Odyssey Holdco L.L.C. and Odyssey Holdco II L.L.C [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_OdysseyHoldcoLlcAndOdysseyHoldcoIiLlcMember" xlink:to="lab_bxinfra_OdysseyHoldcoLlcAndOdysseyHoldcoIiLlcMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_EnergyMember" xlink:label="loc_bxinfra_EnergyMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_EnergyMember" xml:lang="en-US">Energy [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_EnergyMember" xlink:to="lab_bxinfra_EnergyMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_TransportationMember" xlink:label="loc_bxinfra_TransportationMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_TransportationMember" xml:lang="en-US">Transportation [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_TransportationMember" xlink:to="lab_bxinfra_TransportationMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DigitalMember" xlink:label="loc_bxinfra_DigitalMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DigitalMember" xml:lang="en-US">Digital [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DigitalMember" xlink:to="lab_bxinfra_DigitalMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_EucalyptusIHoldcoCymLpMember" xlink:label="loc_bxinfra_EucalyptusIHoldcoCymLpMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_EucalyptusIHoldcoCymLpMember" xml:lang="en-US">Eucalyptus I HoldCo CYM LP [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_EucalyptusIHoldcoCymLpMember" xlink:to="lab_bxinfra_EucalyptusIHoldcoCymLpMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_MercuryCoInvestLpMember" xlink:label="loc_bxinfra_MercuryCoInvestLpMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_MercuryCoInvestLpMember" xml:lang="en-US">Mercury Co Invest LP [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_MercuryCoInvestLpMember" xlink:to="lab_bxinfra_MercuryCoInvestLpMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_PoseidonHoldcoILpMember" xlink:label="loc_bxinfra_PoseidonHoldcoILpMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_PoseidonHoldcoILpMember" xml:lang="en-US">Poseidon Holdco I L.P. [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PoseidonHoldcoILpMember" xlink:to="lab_bxinfra_PoseidonHoldcoILpMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_SeanKlimczakMember" xlink:label="loc_bxinfra_SeanKlimczakMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_SeanKlimczakMember" xml:lang="en-US">Sean Klimczak [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_SeanKlimczakMember" xlink:to="lab_bxinfra_SeanKlimczakMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_GregoryBlankMember" xlink:label="loc_bxinfra_GregoryBlankMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_GregoryBlankMember" xml:lang="en-US">Gregory Blank [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_GregoryBlankMember" xlink:to="lab_bxinfra_GregoryBlankMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_PaulSchlaackMember" xlink:label="loc_bxinfra_PaulSchlaackMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_PaulSchlaackMember" xml:lang="en-US">Paul Schlaack [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PaulSchlaackMember" xlink:to="lab_bxinfra_PaulSchlaackMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ChristopherStrianoMember" xlink:label="loc_bxinfra_ChristopherStrianoMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ChristopherStrianoMember" xml:lang="en-US">Christopher Striano [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ChristopherStrianoMember" xlink:to="lab_bxinfra_ChristopherStrianoMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_KateOneiMember" xlink:label="loc_bxinfra_KateOneiMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_KateOneiMember" xml:lang="en-US">Kate ONei [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_KateOneiMember" xml:lang="en-US">Kate O'Neil [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_KateOneiMember" xlink:to="lab_bxinfra_KateOneiMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_MatthewRunkleMember" xlink:label="loc_bxinfra_MatthewRunkleMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_MatthewRunkleMember" xml:lang="en-US">Matthew Runkle [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_MatthewRunkleMember" xlink:to="lab_bxinfra_MatthewRunkleMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_JoanSolotarMember" xlink:label="loc_bxinfra_JoanSolotarMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_JoanSolotarMember" xml:lang="en-US">Joan Solotar [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_JoanSolotarMember" xlink:to="lab_bxinfra_JoanSolotarMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_GraceVandecruzeMember" xlink:label="loc_bxinfra_GraceVandecruzeMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_GraceVandecruzeMember" xml:lang="en-US">Grace Vandecruze [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_GraceVandecruzeMember" xlink:to="lab_bxinfra_GraceVandecruzeMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_JohnDHersheyMember" xlink:label="loc_bxinfra_JohnDHersheyMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_JohnDHersheyMember" xml:lang="en-US">John D. Hershey [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_JohnDHersheyMember" xlink:to="lab_bxinfra_JohnDHersheyMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_SusanRothKatzkeMember" xlink:label="loc_bxinfra_SusanRothKatzkeMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_SusanRothKatzkeMember" xml:lang="en-US">Susan Roth Katzke [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_SusanRothKatzkeMember" xlink:to="lab_bxinfra_SusanRothKatzkeMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_AndreJFernandezMember" xlink:label="loc_bxinfra_AndreJFernandezMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_AndreJFernandezMember" xml:lang="en-US">Andre J. Fernandez [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AndreJFernandezMember" xlink:to="lab_bxinfra_AndreJFernandezMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_OwenJSullivanMember" xlink:label="loc_bxinfra_OwenJSullivanMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_OwenJSullivanMember" xml:lang="en-US">Owen J. Sullivan [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_OwenJSullivanMember" xlink:to="lab_bxinfra_OwenJSullivanMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LimitedLiabilityCompanyOrLimitedPartnershipBusinessOrganizationAndOperationsAbstract" xlink:label="loc_us-gaap_LimitedLiabilityCompanyOrLimitedPartnershipBusinessOrganizationAndOperationsAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LimitedLiabilityCompanyOrLimitedPartnershipBusinessOrganizationAndOperationsAbstract" xml:lang="en-US">Limited Liability Company or Limited Partnership, Business Organization and Operations [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LimitedLiabilityCompanyOrLimitedPartnershipBusinessOrganizationAndOperationsAbstract" xlink:to="lab_us-gaap_LimitedLiabilityCompanyOrLimitedPartnershipBusinessOrganizationAndOperationsAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfCollaborativeArrangementsAndNoncollaborativeArrangementTransactionsTable" xlink:label="loc_us-gaap_ScheduleOfCollaborativeArrangementsAndNoncollaborativeArrangementTransactionsTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ScheduleOfCollaborativeArrangementsAndNoncollaborativeArrangementTransactionsTable" xml:lang="en-US">Collaborative Arrangement and Arrangement Other than Collaborative [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfCollaborativeArrangementsAndNoncollaborativeArrangementTransactionsTable" xlink:to="lab_us-gaap_ScheduleOfCollaborativeArrangementsAndNoncollaborativeArrangementTransactionsTable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems" xlink:label="loc_us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems" xml:lang="en-US">Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems" xlink:to="lab_us-gaap_CollaborativeArrangementsAndNoncollaborativeArrangementTransactionsLineItems" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_LimitedLiabilityCompanyOrLimitedPartnershipBusinessOrganizationAndOperationsTextBlock" xlink:label="loc_bxinfra_LimitedLiabilityCompanyOrLimitedPartnershipBusinessOrganizationAndOperationsTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_LimitedLiabilityCompanyOrLimitedPartnershipBusinessOrganizationAndOperationsTextBlock" xml:lang="en-US">Limited Liability Company or Limited Partnership Business Organization and Operations [Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_LimitedLiabilityCompanyOrLimitedPartnershipBusinessOrganizationAndOperationsTextBlock" xml:lang="en-US">Organization</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_LimitedLiabilityCompanyOrLimitedPartnershipBusinessOrganizationAndOperationsTextBlock" xlink:to="lab_bxinfra_LimitedLiabilityCompanyOrLimitedPartnershipBusinessOrganizationAndOperationsTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_LimitedLiabilityCompanyOrLimitedPartnershipBusinessOrganizationAndOperationsTextBlock" xml:lang="en-US">Limited liability company or limited partnership business organization and operations.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AccountingPoliciesAbstract" xlink:label="loc_us-gaap_AccountingPoliciesAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_AccountingPoliciesAbstract" xml:lang="en-US">Accounting Policies [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AccountingPoliciesAbstract" xlink:to="lab_us-gaap_AccountingPoliciesAbstract" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_AccountingPoliciesTable" xlink:label="loc_bxinfra_AccountingPoliciesTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_AccountingPoliciesTable" xml:lang="en-US">Accounting Policies [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AccountingPoliciesTable" xlink:to="lab_bxinfra_AccountingPoliciesTable" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_AccountingPoliciesLineItems" xlink:label="loc_bxinfra_AccountingPoliciesLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_AccountingPoliciesLineItems" xml:lang="en-US">Accounting Policies [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AccountingPoliciesLineItems" xlink:to="lab_bxinfra_AccountingPoliciesLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SignificantAccountingPoliciesTextBlock" xlink:label="loc_us-gaap_SignificantAccountingPoliciesTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SignificantAccountingPoliciesTextBlock" xml:lang="en-US">Significant Accounting Policies [Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_SignificantAccountingPoliciesTextBlock" xml:lang="en-US">Summary of Significant Accounting Policies</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SignificantAccountingPoliciesTextBlock" xlink:to="lab_us-gaap_SignificantAccountingPoliciesTextBlock" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InvestmentInTheAggregatorAbstract" xlink:label="loc_bxinfra_InvestmentInTheAggregatorAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_InvestmentInTheAggregatorAbstract" xml:lang="en-US">Investment in the Aggregator [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentInTheAggregatorAbstract" xlink:to="lab_bxinfra_InvestmentInTheAggregatorAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InvestmentInTheAggregatorAbstract" xml:lang="en-US">Investment in the aggregator.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InvestmentInTheAggregatorTextBlock" xlink:label="loc_bxinfra_InvestmentInTheAggregatorTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_InvestmentInTheAggregatorTextBlock" xml:lang="en-US">Investment In The Aggregator [Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_InvestmentInTheAggregatorTextBlock" xml:lang="en-US">Investment in the Aggregator</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentInTheAggregatorTextBlock" xlink:to="lab_bxinfra_InvestmentInTheAggregatorTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InvestmentInTheAggregatorTextBlock" xml:lang="en-US">Investment in the aggregator.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueDisclosuresAbstract" xlink:label="loc_us-gaap_FairValueDisclosuresAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueDisclosuresAbstract" xml:lang="en-US">Fair Value Disclosures [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueDisclosuresAbstract" xlink:to="lab_us-gaap_FairValueDisclosuresAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueByBalanceSheetGroupingTable" xlink:label="loc_us-gaap_FairValueByBalanceSheetGroupingTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueByBalanceSheetGroupingTable" xml:lang="en-US">Fair Value, by Balance Sheet Grouping [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueByBalanceSheetGroupingTable" xlink:to="lab_us-gaap_FairValueByBalanceSheetGroupingTable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" xlink:label="loc_us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" xml:lang="en-US">Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" xlink:to="lab_us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueDisclosuresTextBlock" xlink:label="loc_us-gaap_FairValueDisclosuresTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueDisclosuresTextBlock" xml:lang="en-US">Fair Value Disclosures [Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueDisclosuresTextBlock" xml:lang="en-US">Investments and Fair Value Measurement</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueDisclosuresTextBlock" xlink:to="lab_us-gaap_FairValueDisclosuresTextBlock" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtDisclosureAbstract" xlink:label="loc_us-gaap_DebtDisclosureAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DebtDisclosureAbstract" xml:lang="en-US">Debt Disclosure [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtDisclosureAbstract" xlink:to="lab_us-gaap_DebtDisclosureAbstract" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_LineOfCreditDisclosureTextBlock" xlink:label="loc_bxinfra_LineOfCreditDisclosureTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_LineOfCreditDisclosureTextBlock" xml:lang="en-US">Line Of Credit Disclosure [Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_LineOfCreditDisclosureTextBlock" xml:lang="en-US">Line of Credit Agreement</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_LineOfCreditDisclosureTextBlock" xlink:to="lab_bxinfra_LineOfCreditDisclosureTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_LineOfCreditDisclosureTextBlock" xml:lang="en-US">Line of credit disclosure.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract" xlink:label="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract" xml:lang="en-US">Derivative Instruments and Hedging Activities Disclosure [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract" xlink:to="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" xlink:label="loc_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" xml:lang="en-US">Derivative Instruments, Gain (Loss) [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" xlink:to="lab_us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipByIncomeStatementLocationByDerivativeInstrumentRiskTable" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_BXINFRABxinfraAggregatorCymLpMember" xlink:label="loc_bxinfra_BXINFRABxinfraAggregatorCymLpMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_BXINFRABxinfraAggregatorCymLpMember" xml:lang="en-US">BXINFRABxinfraAggregatorCymLp [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_BXINFRABxinfraAggregatorCymLpMember" xml:lang="en-US">BXINFRA Aggregator (CYM) L.P. [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_BXINFRABxinfraAggregatorCymLpMember" xlink:to="lab_bxinfra_BXINFRABxinfraAggregatorCymLpMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:label="loc_us-gaap_DerivativeInstrumentsGainLossLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeInstrumentsGainLossLineItems" xml:lang="en-US">Derivative Instruments, Gain (Loss) [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentsGainLossLineItems" xlink:to="lab_us-gaap_DerivativeInstrumentsGainLossLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xlink:label="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xml:lang="en-US">Derivative Instruments and Hedging Activities Disclosure [Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xml:lang="en-US">Derivative Instruments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" xlink:to="lab_us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_NetAssetsAbstract" xlink:label="loc_bxinfra_NetAssetsAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_NetAssetsAbstract" xml:lang="en-US">Net Assets [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_NetAssetsAbstract" xlink:to="lab_bxinfra_NetAssetsAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_NetAssetsAbstract" xml:lang="en-US">Net assets .</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_NetAssetsTable" xlink:label="loc_bxinfra_NetAssetsTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_NetAssetsTable" xml:lang="en-US">Net Assets [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_NetAssetsTable" xlink:to="lab_bxinfra_NetAssetsTable" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_NetAssetsLineItems" xlink:label="loc_bxinfra_NetAssetsLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_NetAssetsLineItems" xml:lang="en-US">Net Assets [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_NetAssetsLineItems" xlink:to="lab_bxinfra_NetAssetsLineItems" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_NetAssetsTextBlock" xlink:label="loc_bxinfra_NetAssetsTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_NetAssetsTextBlock" xml:lang="en-US">Net Assets [Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_NetAssetsTextBlock" xml:lang="en-US">Net assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_NetAssetsTextBlock" xlink:to="lab_bxinfra_NetAssetsTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_NetAssetsTextBlock" xml:lang="en-US">Net assets.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DisclosureOfRepurchaseAgreementsAbstract" xlink:label="loc_us-gaap_DisclosureOfRepurchaseAgreementsAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DisclosureOfRepurchaseAgreementsAbstract" xml:lang="en-US">Disclosure of Repurchase Agreements [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DisclosureOfRepurchaseAgreementsAbstract" xlink:to="lab_us-gaap_DisclosureOfRepurchaseAgreementsAbstract" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_RepurchaseAgreementsTable" xlink:label="loc_bxinfra_RepurchaseAgreementsTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_RepurchaseAgreementsTable" xml:lang="en-US">Repurchase Agreements [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_RepurchaseAgreementsTable" xlink:to="lab_bxinfra_RepurchaseAgreementsTable" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_RepurchaseAgreementsLineItems" xlink:label="loc_bxinfra_RepurchaseAgreementsLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_RepurchaseAgreementsLineItems" xml:lang="en-US">Repurchase Agreements [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_RepurchaseAgreementsLineItems" xlink:to="lab_bxinfra_RepurchaseAgreementsLineItems" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_RepurchaseAgreementsTextBlock" xlink:label="loc_bxinfra_RepurchaseAgreementsTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_RepurchaseAgreementsTextBlock" xml:lang="en-US">Repurchase Agreements [Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_RepurchaseAgreementsTextBlock" xml:lang="en-US">Repurchase Agreements</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_RepurchaseAgreementsTextBlock" xlink:to="lab_bxinfra_RepurchaseAgreementsTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_RepurchaseAgreementsTextBlock" xml:lang="en-US">Repurchase agreements.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentTable" xlink:label="loc_us-gaap_DebtInstrumentTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DebtInstrumentTable" xml:lang="en-US">Schedule of Long-Term Debt Instruments [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentTable" xlink:to="lab_us-gaap_DebtInstrumentTable" />
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          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionsDisclosureTextBlock" xlink:to="lab_us-gaap_RelatedPartyTransactionsDisclosureTextBlock" />
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          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxExaminationLineItems" xlink:to="lab_us-gaap_IncomeTaxExaminationLineItems" />
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          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_WarehousingAgreementTable" xlink:to="lab_bxinfra_WarehousingAgreementTable" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_UseOfEstimates" xml:lang="en-US">Use of Estimates</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UseOfEstimates" xlink:to="lab_us-gaap_UseOfEstimates" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashAndCashEquivalentsPolicyTextBlock" xlink:label="loc_us-gaap_CashAndCashEquivalentsPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CashAndCashEquivalentsPolicyTextBlock" xml:lang="en-US">Cash and Cash Equivalents, Policy [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CashAndCashEquivalentsPolicyTextBlock" xml:lang="en-US">Cash and Cash Equivalents</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashAndCashEquivalentsPolicyTextBlock" xlink:to="lab_us-gaap_CashAndCashEquivalentsPolicyTextBlock" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_OrganizationalAndOfferingExpensesPoliciesTextBlock" xlink:label="loc_bxinfra_OrganizationalAndOfferingExpensesPoliciesTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_OrganizationalAndOfferingExpensesPoliciesTextBlock" xml:lang="en-US">Organizational and Offering Expenses Policies [Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_OrganizationalAndOfferingExpensesPoliciesTextBlock" xml:lang="en-US">Organizational and Offering Expenses</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_OrganizationalAndOfferingExpensesPoliciesTextBlock" xlink:to="lab_bxinfra_OrganizationalAndOfferingExpensesPoliciesTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_OrganizationalAndOfferingExpensesPoliciesTextBlock" xml:lang="en-US">Organizational and offering expenses policies.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxPolicyTextBlock" xlink:label="loc_us-gaap_IncomeTaxPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncomeTaxPolicyTextBlock" xml:lang="en-US">Income Tax, Policy [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_IncomeTaxPolicyTextBlock" xml:lang="en-US">Income Taxes</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxPolicyTextBlock" xlink:to="lab_us-gaap_IncomeTaxPolicyTextBlock" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SegmentReportingPolicyPolicyTextBlock" xlink:label="loc_us-gaap_SegmentReportingPolicyPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SegmentReportingPolicyPolicyTextBlock" xml:lang="en-US">Segment Reporting, Policy [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_SegmentReportingPolicyPolicyTextBlock" xml:lang="en-US">Segment Reporting</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SegmentReportingPolicyPolicyTextBlock" xlink:to="lab_us-gaap_SegmentReportingPolicyPolicyTextBlock" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ConsolidationPolicyTextBlock" xlink:label="loc_us-gaap_ConsolidationPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ConsolidationPolicyTextBlock" xml:lang="en-US">Consolidation, Policy [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ConsolidationPolicyTextBlock" xml:lang="en-US">Principles of Consolidation</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ConsolidationPolicyTextBlock" xlink:to="lab_us-gaap_ConsolidationPolicyTextBlock" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueOfFinancialInstrumentsPolicy" xlink:label="loc_us-gaap_FairValueOfFinancialInstrumentsPolicy" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueOfFinancialInstrumentsPolicy" xml:lang="en-US">Fair Value of Financial Instruments, Policy [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueOfFinancialInstrumentsPolicy" xml:lang="en-US">Fair Value of Investments and Financial Instruments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueOfFinancialInstrumentsPolicy" xlink:to="lab_us-gaap_FairValueOfFinancialInstrumentsPolicy" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredChargesPolicyTextBlock" xlink:label="loc_us-gaap_DeferredChargesPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DeferredChargesPolicyTextBlock" xml:lang="en-US">Deferred Charges, Policy [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DeferredChargesPolicyTextBlock" xml:lang="en-US">Deferred Taxes</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredChargesPolicyTextBlock" xlink:to="lab_us-gaap_DeferredChargesPolicyTextBlock" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxUncertaintiesPolicy" xlink:label="loc_us-gaap_IncomeTaxUncertaintiesPolicy" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncomeTaxUncertaintiesPolicy" xml:lang="en-US">Income Tax Uncertainties, Policy [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_IncomeTaxUncertaintiesPolicy" xml:lang="en-US">Uncertain Tax Positions</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxUncertaintiesPolicy" xlink:to="lab_us-gaap_IncomeTaxUncertaintiesPolicy" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_AffiliatesPolicyPolicyTextBlock" xlink:label="loc_bxinfra_AffiliatesPolicyPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_AffiliatesPolicyPolicyTextBlock" xml:lang="en-US">Affiliates Policy [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_AffiliatesPolicyPolicyTextBlock" xml:lang="en-US">Affiliates</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AffiliatesPolicyPolicyTextBlock" xlink:to="lab_bxinfra_AffiliatesPolicyPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_AffiliatesPolicyPolicyTextBlock" xml:lang="en-US">Affiliates policy.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DistributionPolicyTextBlock" xlink:label="loc_bxinfra_DistributionPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DistributionPolicyTextBlock" xml:lang="en-US">Distribution [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_DistributionPolicyTextBlock" xml:lang="en-US">Distributions</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DistributionPolicyTextBlock" xlink:to="lab_bxinfra_DistributionPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_DistributionPolicyTextBlock" xml:lang="en-US">Distribution.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InvestmentsatFairValueandInvestmentsinAffiliatedorUnaffiliatedInvesteeFunds" xlink:label="loc_bxinfra_InvestmentsatFairValueandInvestmentsinAffiliatedorUnaffiliatedInvesteeFunds" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_InvestmentsatFairValueandInvestmentsinAffiliatedorUnaffiliatedInvesteeFunds" xml:lang="en-US">Investments at Fair Value and Investments in Affiliated or Unaffiliated Investee Funds</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_InvestmentsatFairValueandInvestmentsinAffiliatedorUnaffiliatedInvesteeFunds" xml:lang="en-US">Investments at Fair Value and Investments in Affiliated or Unaffiliated Investee Funds</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentsatFairValueandInvestmentsinAffiliatedorUnaffiliatedInvesteeFunds" xlink:to="lab_bxinfra_InvestmentsatFairValueandInvestmentsinAffiliatedorUnaffiliatedInvesteeFunds" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InvestmentsatFairValueandInvestmentsinAffiliatedorUnaffiliatedInvesteeFunds" xml:lang="en-US">Fair value of financial instruments in affiliated or unaffiliated investee funds.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DerivativeInstruments" xlink:label="loc_bxinfra_DerivativeInstruments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DerivativeInstruments" xml:lang="en-US">Derivative Instruments</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_DerivativeInstruments" xml:lang="en-US">Derivative instruments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeInstruments" xlink:to="lab_bxinfra_DerivativeInstruments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_DerivativeInstruments" xml:lang="en-US">Derivative instruments.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_PerformanceParticipationAllocationAdministrationFeeandManagementFeePayables" xlink:label="loc_bxinfra_PerformanceParticipationAllocationAdministrationFeeandManagementFeePayables" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_PerformanceParticipationAllocationAdministrationFeeandManagementFeePayables" xml:lang="en-US">Performance Participation Allocation Administration Fee and Management Fee Payables</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_PerformanceParticipationAllocationAdministrationFeeandManagementFeePayables" xml:lang="en-US">Performance Participation Allocation, Administration Fee and Management Fee Payables</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PerformanceParticipationAllocationAdministrationFeeandManagementFeePayables" xlink:to="lab_bxinfra_PerformanceParticipationAllocationAdministrationFeeandManagementFeePayables" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_PerformanceParticipationAllocationAdministrationFeeandManagementFeePayables" 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:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ForeignCurrencyDisclosureTextBlock" xlink:label="loc_us-gaap_ForeignCurrencyDisclosureTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ForeignCurrencyDisclosureTextBlock" xml:lang="en-US">Foreign Currency Disclosure [Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ForeignCurrencyDisclosureTextBlock" xml:lang="en-US">Foreign Currency</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ForeignCurrencyDisclosureTextBlock" xlink:to="lab_us-gaap_ForeignCurrencyDisclosureTextBlock" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_NetRealizedandUnrealizedGainLossonInvestments" xlink:label="loc_bxinfra_NetRealizedandUnrealizedGainLossonInvestments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_NetRealizedandUnrealizedGainLossonInvestments" xml:lang="en-US">Net Realized and Unrealized Gain Loss on Investments</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_NetRealizedandUnrealizedGainLossonInvestments" xml:lang="en-US">Net Realized and Unrealized Gain (Loss) on Investments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_NetRealizedandUnrealizedGainLossonInvestments" xlink:to="lab_bxinfra_NetRealizedandUnrealizedGainLossonInvestments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_NetRealizedandUnrealizedGainLossonInvestments" xml:lang="en-US">Realized and unrealized gain loss on investments policy text block.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_IncomeRecognition" xlink:label="loc_bxinfra_IncomeRecognition" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_IncomeRecognition" xml:lang="en-US">Income Recognition</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_IncomeRecognition" xml:lang="en-US">Income Recognition</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_IncomeRecognition" xlink:to="lab_bxinfra_IncomeRecognition" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_IncomeRecognition" 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:href="bxinfra-20251231.xsd#bxinfra_ExpenseSupportPolicy" xlink:label="loc_bxinfra_ExpenseSupportPolicy" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ExpenseSupportPolicy" xml:lang="en-US">Expense Support Policy</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_ExpenseSupportPolicy" xml:lang="en-US">Expense Support</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ExpenseSupportPolicy" xlink:to="lab_bxinfra_ExpenseSupportPolicy" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_ExpenseSupportPolicy" xml:lang="en-US">Expense support policy text block.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RepurchaseAgreementsValuationPolicy" xlink:label="loc_us-gaap_RepurchaseAgreementsValuationPolicy" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RepurchaseAgreementsValuationPolicy" xml:lang="en-US">Repurchase Agreements, Valuation, Policy [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_RepurchaseAgreementsValuationPolicy" xml:lang="en-US">Repurchase Agreements</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RepurchaseAgreementsValuationPolicy" xlink:to="lab_us-gaap_RepurchaseAgreementsValuationPolicy" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ManagementFeesOffsetAndWaivedPolicyTextBlock" xlink:label="loc_bxinfra_ManagementFeesOffsetAndWaivedPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ManagementFeesOffsetAndWaivedPolicyTextBlock" xml:lang="en-US">Management Fees Offset And Waived [Policy Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_ManagementFeesOffsetAndWaivedPolicyTextBlock" xml:lang="en-US">Management Fees Offset and Waived</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ManagementFeesOffsetAndWaivedPolicyTextBlock" xlink:to="lab_bxinfra_ManagementFeesOffsetAndWaivedPolicyTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_ManagementFeesOffsetAndWaivedPolicyTextBlock" xml:lang="en-US">Management fees offset and waived.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InvestmentsInAffiliatedOrUnaffiliatedInvesteeFunds" xlink:label="loc_bxinfra_InvestmentsInAffiliatedOrUnaffiliatedInvesteeFunds" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_InvestmentsInAffiliatedOrUnaffiliatedInvesteeFunds" xml:lang="en-US">Investments in Affiliated or Unaffiliated Investee Funds</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_InvestmentsInAffiliatedOrUnaffiliatedInvesteeFunds" xml:lang="en-US">Investments in Affiliated or Unaffiliated Investee Funds</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentsInAffiliatedOrUnaffiliatedInvesteeFunds" xlink:to="lab_bxinfra_InvestmentsInAffiliatedOrUnaffiliatedInvesteeFunds" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InvestmentsInAffiliatedOrUnaffiliatedInvesteeFunds" xml:lang="en-US">Investments in affiliated or unaffiliated investee funds</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock" xml:lang="en-US">Fair Value Measurement Inputs and Valuation Techniques [Table Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock" xml:lang="en-US">Summary of Fair Value Measurement Inputs and Valuation Techniques</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock" xlink:to="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTableTextBlock" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock" xml:lang="en-US">Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Table Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock" xml:lang="en-US">Summary of Fair Value Assets Measured on Recurring Basis Unobservable Input Reconciliation</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock" xlink:to="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTextBlock" />
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          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ScheduleOfDerivativeInstrumentsTextBlock" xlink:to="lab_us-gaap_ScheduleOfDerivativeInstrumentsTextBlock" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock" xlink:label="loc_us-gaap_ScheduleOfDerivativeInstrumentsGainLossInStatementOfFinancialPerformanceTextBlock" />
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          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DistributionsMadeToLimitedPartnerByDistributionTableTextBlock" xlink:label="loc_us-gaap_DistributionsMadeToLimitedPartnerByDistributionTableTextBlock" />
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          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DistributionsMadeToLimitedPartnerByDistributionTableTextBlock" xlink:to="lab_us-gaap_DistributionsMadeToLimitedPartnerByDistributionTableTextBlock" />
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          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock" xlink:label="loc_us-gaap_ScheduleOfEffectiveIncomeTaxRateReconciliationTableTextBlock" />
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          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfDeferredTaxAssetsAndLiabilitiesTableTextBlock" xlink:label="loc_us-gaap_ScheduleOfDeferredTaxAssetsAndLiabilitiesTableTextBlock" />
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          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfAssetsSoldUnderAgreementsToRepurchaseTable" xlink:label="loc_us-gaap_ScheduleOfAssetsSoldUnderAgreementsToRepurchaseTable" />
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          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis" xlink:label="loc_us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis" />
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          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodDomain" xlink:label="loc_us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodDomain" />
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          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DisclosureOfRepurchaseAgreementsLineItems" xlink:label="loc_bxinfra_DisclosureOfRepurchaseAgreementsLineItems" />
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          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ScheduleOfUnderlyingAssetsOfRepurchaseAgreementsWhenAmountOfRepurchaseAgreementsExceeds10PercentOfAssetsTextBlock" xlink:label="loc_us-gaap_ScheduleOfUnderlyingAssetsOfRepurchaseAgreementsWhenAmountOfRepurchaseAgreementsExceeds10PercentOfAssetsTextBlock" />
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          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ScheduleOfRecognizedLiabilitiesForRepurchaseAgreementsTableTextBlock" xlink:label="loc_bxinfra_ScheduleOfRecognizedLiabilitiesForRepurchaseAgreementsTableTextBlock" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ScheduleOfRecognizedLiabilitiesForRepurchaseAgreementsTableTextBlock" xml:lang="en-US">Schedule Of Recognized Liabilities For Repurchase Agreements [Table Text Block]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_ScheduleOfRecognizedLiabilitiesForRepurchaseAgreementsTableTextBlock" xml:lang="en-US">Schedule Of Recognized Liabilities For Repurchase Agreements [Table Text Block]</link:label>
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_ScheduleOfRecognizedLiabilitiesForRepurchaseAgreementsTableTextBlock" xml:lang="en-US">Schedule of recognized liabilities for repurchase agreements.</link:label>
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentCompanyFinancialHighlightsTableTextBlock" xml:lang="en-US">Schedule of Capital Transactions and Differing Fee Arrangements</link:label>
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          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentInTheAggregatorTable" xlink:to="lab_bxinfra_InvestmentInTheAggregatorTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InvestmentInTheAggregatorTable" xml:lang="en-US">Investment in the aggregator.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InvestmentInTheAggregatorLineItems" xlink:label="loc_bxinfra_InvestmentInTheAggregatorLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_InvestmentInTheAggregatorLineItems" xml:lang="en-US">Investment in the Aggregator [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentInTheAggregatorLineItems" xlink:to="lab_bxinfra_InvestmentInTheAggregatorLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InvestmentInTheAggregatorLineItems" xml:lang="en-US">Investment in the aggregator.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_PercentageOfInterestInTheAggregator" xlink:label="loc_bxinfra_PercentageOfInterestInTheAggregator" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_PercentageOfInterestInTheAggregator" xml:lang="en-US">Percentage of Interest in the aggregator</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_PercentageOfInterestInTheAggregator" xml:lang="en-US">Percentage of interest in the aggregator</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PercentageOfInterestInTheAggregator" xlink:to="lab_bxinfra_PercentageOfInterestInTheAggregator" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_PercentageOfInterestInTheAggregator" xml:lang="en-US">Percentage of interest in the aggregator.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_PercentageOfHoldingInvestmentOfTheAggregator" xlink:label="loc_bxinfra_PercentageOfHoldingInvestmentOfTheAggregator" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_PercentageOfHoldingInvestmentOfTheAggregator" xml:lang="en-US">Percentage of Holding Investment of the Aggregator</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_PercentageOfHoldingInvestmentOfTheAggregator" xml:lang="en-US">Percentage of holding investment of the aggregator</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PercentageOfHoldingInvestmentOfTheAggregator" xlink:to="lab_bxinfra_PercentageOfHoldingInvestmentOfTheAggregator" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_PercentageOfHoldingInvestmentOfTheAggregator" xml:lang="en-US">Percentage of holding investment of the aggregator.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_PercentageOfListingInvestmentOfTheAggregator" xlink:label="loc_bxinfra_PercentageOfListingInvestmentOfTheAggregator" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_PercentageOfListingInvestmentOfTheAggregator" xml:lang="en-US">Percentage of Listing Investment of the Aggregator</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_PercentageOfListingInvestmentOfTheAggregator" xml:lang="en-US">Percentage of listing investment of the aggregator</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PercentageOfListingInvestmentOfTheAggregator" xlink:to="lab_bxinfra_PercentageOfListingInvestmentOfTheAggregator" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_PercentageOfListingInvestmentOfTheAggregator" xml:lang="en-US">Percentage of listing Investment of the aggregator.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xml:lang="en-US">Fair Value, Recurring and Nonrecurring [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" xlink:to="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:label="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis" xml:lang="en-US">Fair Value Hierarchy and NAV [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueByFairValueHierarchyLevelAxis" xlink:to="lab_us-gaap_FairValueByFairValueHierarchyLevelAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:label="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xml:lang="en-US">Fair Value Hierarchy and NAV [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" xlink:to="lab_us-gaap_FairValueMeasurementsFairValueHierarchyDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueInputsLevel1Member" xlink:label="loc_us-gaap_FairValueInputsLevel1Member" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueInputsLevel1Member" xml:lang="en-US">Fair Value, Inputs, Level 1 [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueInputsLevel1Member" xml:lang="en-US">Level I [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueInputsLevel1Member" xlink:to="lab_us-gaap_FairValueInputsLevel1Member" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueInputsLevel2Member" xlink:label="loc_us-gaap_FairValueInputsLevel2Member" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueInputsLevel2Member" xml:lang="en-US">Fair Value, Inputs, Level 2 [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueInputsLevel2Member" xml:lang="en-US">Level II [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueInputsLevel2Member" xlink:to="lab_us-gaap_FairValueInputsLevel2Member" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueInputsLevel3Member" xlink:label="loc_us-gaap_FairValueInputsLevel3Member" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueInputsLevel3Member" xml:lang="en-US">Fair Value, Inputs, Level 3 [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueInputsLevel3Member" xml:lang="en-US">Level III [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueInputsLevel3Member" xlink:to="lab_us-gaap_FairValueInputsLevel3Member" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xlink:label="loc_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xml:lang="en-US">Fair Value Measured at Net Asset Value Per Share [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xml:lang="en-US">NAV [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" xlink:to="lab_us-gaap_FairValueMeasuredAtNetAssetValuePerShareMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueByAssetClassAxis" xlink:label="loc_us-gaap_FairValueByAssetClassAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueByAssetClassAxis" xml:lang="en-US">Asset Class [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueByAssetClassAxis" xlink:to="lab_us-gaap_FairValueByAssetClassAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain" xml:lang="en-US">Asset Class [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain" xlink:to="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DebtInvestmentsMember" xlink:label="loc_bxinfra_DebtInvestmentsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DebtInvestmentsMember" xml:lang="en-US">Debt Investments [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DebtInvestmentsMember" xlink:to="lab_bxinfra_DebtInvestmentsMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_EquityInvestmentsMember" xlink:label="loc_bxinfra_EquityInvestmentsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_EquityInvestmentsMember" xml:lang="en-US">Equity Investments [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_EquityInvestmentsMember" xlink:to="lab_bxinfra_EquityInvestmentsMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xml:lang="en-US">Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" xlink:to="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsFairValueDisclosureAbstract" xlink:label="loc_us-gaap_AssetsFairValueDisclosureAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_AssetsFairValueDisclosureAbstract" xml:lang="en-US">Assets, Fair Value Disclosure [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_AssetsFairValueDisclosureAbstract" xml:lang="en-US">Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetsFairValueDisclosureAbstract" xlink:to="lab_us-gaap_AssetsFairValueDisclosureAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CashAndCashEquivalentsFairValueDisclosure" xlink:label="loc_us-gaap_CashAndCashEquivalentsFairValueDisclosure" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CashAndCashEquivalentsFairValueDisclosure" xml:lang="en-US">Cash and Cash Equivalents, Fair Value Disclosure</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CashAndCashEquivalentsFairValueDisclosure" xml:lang="en-US">Cash and Cash Equivalents</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CashAndCashEquivalentsFairValueDisclosure" xlink:to="lab_us-gaap_CashAndCashEquivalentsFairValueDisclosure" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentsFairValueDisclosure" xlink:label="loc_us-gaap_InvestmentsFairValueDisclosure" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentsFairValueDisclosure" xml:lang="en-US">Investments, Fair Value Disclosure</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentsFairValueDisclosure" xml:lang="en-US">Investments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentsFairValueDisclosure" xlink:to="lab_us-gaap_InvestmentsFairValueDisclosure" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsFairValueDisclosure" xlink:label="loc_us-gaap_AssetsFairValueDisclosure" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_AssetsFairValueDisclosure" xml:lang="en-US">Assets, Fair Value Disclosure</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_AssetsFairValueDisclosure" xml:lang="en-US">Total Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetsFairValueDisclosure" xlink:to="lab_us-gaap_AssetsFairValueDisclosure" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeFairValueOfDerivativeAsset" xlink:label="loc_us-gaap_DerivativeFairValueOfDerivativeAsset" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeFairValueOfDerivativeAsset" xml:lang="en-US">Derivative Asset, Subject to Master Netting Arrangement, before Offset</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_DerivativeFairValueOfDerivativeAsset" xml:lang="en-US">Derivative Assets</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DerivativeFairValueOfDerivativeAsset" xml:lang="en-US">Derivative Assets, Fair value</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeFairValueOfDerivativeAsset" xlink:to="lab_us-gaap_DerivativeFairValueOfDerivativeAsset" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilitiesFairValueDisclosureAbstract" xlink:label="loc_us-gaap_LiabilitiesFairValueDisclosureAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LiabilitiesFairValueDisclosureAbstract" xml:lang="en-US">Liabilities, Fair Value Disclosure [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LiabilitiesFairValueDisclosureAbstract" xlink:to="lab_us-gaap_LiabilitiesFairValueDisclosureAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LiabilitiesFairValueDisclosure" xlink:label="loc_us-gaap_LiabilitiesFairValueDisclosure" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LiabilitiesFairValueDisclosure" xml:lang="en-US">Liabilities, Fair Value Disclosure</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LiabilitiesFairValueDisclosure" xml:lang="en-US">Derivative Liabilities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LiabilitiesFairValueDisclosure" xlink:to="lab_us-gaap_LiabilitiesFairValueDisclosure" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentTypeAxis" xlink:label="loc_us-gaap_InvestmentTypeAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentTypeAxis" xml:lang="en-US">Investment Type [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentTypeAxis" xlink:to="lab_us-gaap_InvestmentTypeAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentTypeCategorizationMember" xlink:label="loc_us-gaap_InvestmentTypeCategorizationMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentTypeCategorizationMember" xml:lang="en-US">Investments [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentTypeCategorizationMember" xlink:to="lab_us-gaap_InvestmentTypeCategorizationMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InfrastructureDebtInvestmentMember" xlink:label="loc_bxinfra_InfrastructureDebtInvestmentMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_InfrastructureDebtInvestmentMember" xml:lang="en-US">Infrastructure Debt Investment [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InfrastructureDebtInvestmentMember" xlink:to="lab_bxinfra_InfrastructureDebtInvestmentMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InfrastructureDebtInvestmentMember" xml:lang="en-US">Infrastructure debt investment.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_LiquidDebtInvestmentMember" xlink:label="loc_bxinfra_LiquidDebtInvestmentMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_LiquidDebtInvestmentMember" xml:lang="en-US">Liquid Debt Investment [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_LiquidDebtInvestmentMember" xlink:to="lab_bxinfra_LiquidDebtInvestmentMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_LiquidDebtInvestmentMember" xml:lang="en-US">Liquid debt investment.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable" xml:lang="en-US">Fair Value Measurement Inputs and Valuation Techniques [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable" xlink:to="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesTable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinancialInstrumentAxis" xlink:label="loc_us-gaap_FinancialInstrumentAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FinancialInstrumentAxis" xml:lang="en-US">Financial Instrument [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FinancialInstrumentAxis" xlink:to="lab_us-gaap_FinancialInstrumentAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" xlink:label="loc_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" xml:lang="en-US">Financial Instruments [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" xlink:to="lab_us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InvestmentsInAffiliatedInvesteeFundsMember" xlink:label="loc_bxinfra_InvestmentsInAffiliatedInvesteeFundsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_InvestmentsInAffiliatedInvesteeFundsMember" xml:lang="en-US">Investments in Affiliated Investee Funds [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentsInAffiliatedInvesteeFundsMember" xlink:to="lab_bxinfra_InvestmentsInAffiliatedInvesteeFundsMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ImpactOnValuationOfInputMeasureAxis" xlink:label="loc_bxinfra_ImpactOnValuationOfInputMeasureAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ImpactOnValuationOfInputMeasureAxis" xml:lang="en-US">Impact On Valuation Of Input Measure [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ImpactOnValuationOfInputMeasureAxis" xlink:to="lab_bxinfra_ImpactOnValuationOfInputMeasureAxis" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ImpactOnValuationOfInputMeasureDomain" xlink:label="loc_bxinfra_ImpactOnValuationOfInputMeasureDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ImpactOnValuationOfInputMeasureDomain" xml:lang="en-US">Impact On Valuation Of Input Measure [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ImpactOnValuationOfInputMeasureDomain" xlink:to="lab_bxinfra_ImpactOnValuationOfInputMeasureDomain" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_LowerImpactMember" xlink:label="loc_bxinfra_LowerImpactMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_LowerImpactMember" xml:lang="en-US">Lower Impact [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_LowerImpactMember" xlink:to="lab_bxinfra_LowerImpactMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_HigherImpactMember" xlink:label="loc_bxinfra_HigherImpactMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_HigherImpactMember" xml:lang="en-US">Higher Impact [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_HigherImpactMember" xlink:to="lab_bxinfra_HigherImpactMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MeasurementInputTypeAxis" xlink:label="loc_us-gaap_MeasurementInputTypeAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_MeasurementInputTypeAxis" xml:lang="en-US">Measurement Input Type [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MeasurementInputTypeAxis" xlink:to="lab_us-gaap_MeasurementInputTypeAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MeasurementInputTypeDomain" xlink:label="loc_us-gaap_MeasurementInputTypeDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_MeasurementInputTypeDomain" xml:lang="en-US">Measurement Input Type [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MeasurementInputTypeDomain" xlink:to="lab_us-gaap_MeasurementInputTypeDomain" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_MeasurementInputWaccMember" xlink:label="loc_bxinfra_MeasurementInputWaccMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_MeasurementInputWaccMember" xml:lang="en-US">Measurement Input WACC [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_MeasurementInputWaccMember" xlink:to="lab_bxinfra_MeasurementInputWaccMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_MeasurementInputExitMultipleMember" xlink:label="loc_bxinfra_MeasurementInputExitMultipleMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_MeasurementInputExitMultipleMember" xml:lang="en-US">Measurement Input Exit Multiple [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_MeasurementInputExitMultipleMember" xlink:to="lab_bxinfra_MeasurementInputExitMultipleMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_MeasurementInputExitCapitalizationMember" xlink:label="loc_bxinfra_MeasurementInputExitCapitalizationMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_MeasurementInputExitCapitalizationMember" xml:lang="en-US">Measurement Input Exit Capitalization [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_MeasurementInputExitCapitalizationMember" xlink:to="lab_bxinfra_MeasurementInputExitCapitalizationMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_MeasurementInputDiscountToSaleMember" xlink:label="loc_bxinfra_MeasurementInputDiscountToSaleMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_MeasurementInputDiscountToSaleMember" xml:lang="en-US">Measurement Input Discount To Sale [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_MeasurementInputDiscountToSaleMember" xlink:to="lab_bxinfra_MeasurementInputDiscountToSaleMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_MeasurementInputDiscountToSaleMember" xml:lang="en-US">Measurement input discount to sale.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ValuationTechniqueAxis" xlink:label="loc_us-gaap_ValuationTechniqueAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ValuationTechniqueAxis" xml:lang="en-US">Valuation Approach and Technique [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ValuationTechniqueAxis" xlink:to="lab_us-gaap_ValuationTechniqueAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ValuationTechniqueDomain" xlink:label="loc_us-gaap_ValuationTechniqueDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ValuationTechniqueDomain" xml:lang="en-US">Valuation Approach and Technique [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ValuationTechniqueDomain" xlink:to="lab_us-gaap_ValuationTechniqueDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ValuationTechniqueDiscountedCashFlowMember" xlink:label="loc_us-gaap_ValuationTechniqueDiscountedCashFlowMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ValuationTechniqueDiscountedCashFlowMember" xml:lang="en-US">Valuation Technique, Discounted Cash Flow [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ValuationTechniqueDiscountedCashFlowMember" xlink:to="lab_us-gaap_ValuationTechniqueDiscountedCashFlowMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ValuationTechniqueTransactionalValueMember" xlink:label="loc_bxinfra_ValuationTechniqueTransactionalValueMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ValuationTechniqueTransactionalValueMember" xml:lang="en-US">Valuation Technique Transactional Value [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ValuationTechniqueTransactionalValueMember" xlink:to="lab_bxinfra_ValuationTechniqueTransactionalValueMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ValuationTechniqueThirdPartyPricingMember" xlink:label="loc_bxinfra_ValuationTechniqueThirdPartyPricingMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ValuationTechniqueThirdPartyPricingMember" xml:lang="en-US">Valuation Technique Third Party Pricing [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ValuationTechniqueThirdPartyPricingMember" xlink:to="lab_bxinfra_ValuationTechniqueThirdPartyPricingMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ValuationTechniqueOtherMember" xlink:label="loc_bxinfra_ValuationTechniqueOtherMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ValuationTechniqueOtherMember" xml:lang="en-US">Valuation Technique Other [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ValuationTechniqueOtherMember" xlink:to="lab_bxinfra_ValuationTechniqueOtherMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_ValuationTechniqueOtherMember" xml:lang="en-US">Valuation Technique other.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_MinimumMember" xlink:label="loc_srt_MinimumMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_MinimumMember" xml:lang="en-US">Minimum [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_MinimumMember" xlink:to="lab_srt_MinimumMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_WeightedAverageMember" xlink:label="loc_srt_WeightedAverageMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_WeightedAverageMember" xml:lang="en-US">Weighted Average [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_WeightedAverageMember" xlink:to="lab_srt_WeightedAverageMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems" xml:lang="en-US">Fair Value Measurement Inputs and Valuation Techniques [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems" xlink:to="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisValuationTechniquesLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVentures" xlink:label="loc_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVentures" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVentures" xml:lang="en-US">Investments in and Advance to Affiliates, Subsidiaries, Associates, and Joint Ventures</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVentures" xml:lang="en-US">Investments in Affiliated Investee Funds</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVentures" xlink:to="lab_us-gaap_InvestmentsInAffiliatesSubsidiariesAssociatesAndJointVentures" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InvestmentCompanyInvestmentOwnedValuationTechniques" xlink:label="loc_bxinfra_InvestmentCompanyInvestmentOwnedValuationTechniques" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_InvestmentCompanyInvestmentOwnedValuationTechniques" xml:lang="en-US">Investment Company Investment Owned Valuation Techniques</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_InvestmentCompanyInvestmentOwnedValuationTechniques" xml:lang="en-US">Valuation Techniques</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentCompanyInvestmentOwnedValuationTechniques" xlink:to="lab_bxinfra_InvestmentCompanyInvestmentOwnedValuationTechniques" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InvestmentCompanyInvestmentOwnedValuationTechniques" xml:lang="en-US">Investment company investment owned valuation techniques.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InvestmentCompanyInvestmentOwnedSignificantUnobservableInput" xlink:label="loc_bxinfra_InvestmentCompanyInvestmentOwnedSignificantUnobservableInput" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_InvestmentCompanyInvestmentOwnedSignificantUnobservableInput" xml:lang="en-US">Investment Company Investment Owned Significant Unobservable Input</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_InvestmentCompanyInvestmentOwnedSignificantUnobservableInput" xml:lang="en-US">Unobservable Inputs</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentCompanyInvestmentOwnedSignificantUnobservableInput" xlink:to="lab_bxinfra_InvestmentCompanyInvestmentOwnedSignificantUnobservableInput" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InvestmentCompanyInvestmentOwnedSignificantUnobservableInput" xml:lang="en-US">Investment company investment owned significant unobservable input.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput" xlink:label="loc_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput" xml:lang="en-US">Investment Company, Investment Owned, Measurement Input</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput" xml:lang="en-US">Measurement Input</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput" xlink:to="lab_us-gaap_InvestmentCompanyInvestmentOwnedFairValueMeasurementInput" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasurementsSensitivityAnalysisDescription" xlink:label="loc_us-gaap_FairValueMeasurementsSensitivityAnalysisDescription" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueMeasurementsSensitivityAnalysisDescription" xml:lang="en-US">Unobservable Measurement Input, Uncertainty, Description</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueMeasurementsSensitivityAnalysisDescription" xml:lang="en-US">Impact to Valuation from an Increase in Input</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementsSensitivityAnalysisDescription" xlink:to="lab_us-gaap_FairValueMeasurementsSensitivityAnalysisDescription" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentTypeExtensibleEnumeration" xlink:label="loc_us-gaap_InvestmentTypeExtensibleEnumeration" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentTypeExtensibleEnumeration" xml:lang="en-US">Investment, Type [Extensible Enumeration]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentTypeExtensibleEnumeration" xlink:to="lab_us-gaap_InvestmentTypeExtensibleEnumeration" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationAbstract" xlink:label="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationAbstract" xml:lang="en-US">Fair Value, Assets and Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationAbstract" xlink:to="lab_us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisUnobservableInputReconciliationAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable" xml:lang="en-US">Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable" xlink:to="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationTable" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_AffiliatedInvesteeMember" xlink:label="loc_bxinfra_AffiliatedInvesteeMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_AffiliatedInvesteeMember" xml:lang="en-US">Affiliated Investee [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_AffiliatedInvesteeMember" xml:lang="en-US">Investments in&#160;Affiliates [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AffiliatedInvesteeMember" xlink:to="lab_bxinfra_AffiliatedInvesteeMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EquitySecuritiesInvestmentSummaryMember" xlink:label="loc_us-gaap_EquitySecuritiesInvestmentSummaryMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_EquitySecuritiesInvestmentSummaryMember" xml:lang="en-US">Equity Securities, Investment Summary [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_EquitySecuritiesInvestmentSummaryMember" xml:lang="en-US">Equity Investments [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EquitySecuritiesInvestmentSummaryMember" xlink:to="lab_us-gaap_EquitySecuritiesInvestmentSummaryMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems" xml:lang="en-US">Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems" xlink:to="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Purchases</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" xml:lang="en-US">Purchases</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" xlink:to="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetPurchases" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Sales</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" xml:lang="en-US">Sales and Proceeds from Investments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" xlink:to="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetSales" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss" xlink:label="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss" xml:lang="en-US">Fair Value, Asset, Recurring Basis, Still Held, Unrealized Gain (Loss)</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss" 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:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss" xlink:to="lab_us-gaap_FairValueAssetsMeasuredOnRecurringBasisChangeInUnrealizedGainLoss" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Value</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" xml:lang="en-US">Balance, End of Period</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" xml:lang="en-US">Balance, Beginning of Period</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" xlink:to="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetValue" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" xml:lang="en-US">Change in Gain Included in Net Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" xlink:to="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetGainLossIncludedInEarnings1" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersOutOfLevel3" xlink:label="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersOutOfLevel3" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersOutOfLevel3" xml:lang="en-US">Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Transfers out of Level 3</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersOutOfLevel3" xml:lang="en-US">Transfer Out of Level III</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersOutOfLevel3" xlink:to="lab_us-gaap_FairValueMeasurementWithUnobservableInputsReconciliationRecurringBasisAssetTransfersOutOfLevel3" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList" xlink:label="loc_us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList" xml:lang="en-US">Fair Value, Asset, Recurring Basis, Still Held, Unrealized Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList" xlink:to="lab_us-gaap_FairValueAssetRecurringBasisStillHeldUnrealizedGainLossStatementOfIncomeExtensibleList" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FairValueRecurringBasisUnobservableInputReconciliationAssetGainLossStatementOfIncomeExtensibleList" xlink:label="loc_us-gaap_FairValueRecurringBasisUnobservableInputReconciliationAssetGainLossStatementOfIncomeExtensibleList" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FairValueRecurringBasisUnobservableInputReconciliationAssetGainLossStatementOfIncomeExtensibleList" xml:lang="en-US">Fair Value, Asset, Recurring Basis, Unobservable Input Reconciliation, Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_FairValueRecurringBasisUnobservableInputReconciliationAssetGainLossStatementOfIncomeExtensibleList" xlink:to="lab_us-gaap_FairValueRecurringBasisUnobservableInputReconciliationAssetGainLossStatementOfIncomeExtensibleList" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InvestmentInAffiliatesUnfundedCommitments" xlink:label="loc_bxinfra_InvestmentInAffiliatesUnfundedCommitments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_InvestmentInAffiliatesUnfundedCommitments" xml:lang="en-US">Investment In Affiliates Unfunded Commitments</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_InvestmentInAffiliatesUnfundedCommitments" xml:lang="en-US">Unfunded Commitment</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentInAffiliatesUnfundedCommitments" xlink:to="lab_bxinfra_InvestmentInAffiliatesUnfundedCommitments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InvestmentInAffiliatesUnfundedCommitments" xml:lang="en-US">Investment in affiliates unfunded commitments.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_NetAssetValueInvestmentInAffiliatesAtFairValue" xlink:label="loc_bxinfra_NetAssetValueInvestmentInAffiliatesAtFairValue" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_NetAssetValueInvestmentInAffiliatesAtFairValue" xml:lang="en-US">Net Asset Value Investment In Affiliates At Fair Value</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_NetAssetValueInvestmentInAffiliatesAtFairValue" xml:lang="en-US">Fair&#160;Value</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_NetAssetValueInvestmentInAffiliatesAtFairValue" xlink:to="lab_bxinfra_NetAssetValueInvestmentInAffiliatesAtFairValue" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_NetAssetValueInvestmentInAffiliatesAtFairValue" xml:lang="en-US">Net asset value investment in affiliates at fair value.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeTable" xlink:label="loc_us-gaap_DerivativeTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeTable" xml:lang="en-US">Derivative [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeTable" xlink:to="lab_us-gaap_DerivativeTable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeInstrumentRiskAxis" xlink:label="loc_us-gaap_DerivativeInstrumentRiskAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeInstrumentRiskAxis" xml:lang="en-US">Derivative Instrument [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeInstrumentRiskAxis" xlink:to="lab_us-gaap_DerivativeInstrumentRiskAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeContractTypeDomain" xlink:label="loc_us-gaap_DerivativeContractTypeDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeContractTypeDomain" xml:lang="en-US">Derivative Contract [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeContractTypeDomain" xlink:to="lab_us-gaap_DerivativeContractTypeDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ForeignExchangeContractMember" xlink:label="loc_us-gaap_ForeignExchangeContractMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ForeignExchangeContractMember" xml:lang="en-US">Foreign Exchange Contract [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ForeignExchangeContractMember" xml:lang="en-US">Foreign Currency Contracts [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ForeignExchangeContractMember" xlink:to="lab_us-gaap_ForeignExchangeContractMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_CurrencyAxis" xlink:label="loc_srt_CurrencyAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_CurrencyAxis" xml:lang="en-US">Currency [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_CurrencyAxis" xlink:to="lab_srt_CurrencyAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/currency/2025/currency-2025.xsd#currency_AllCurrenciesDomain" xlink:label="loc_currency_AllCurrenciesDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_currency_AllCurrenciesDomain" xml:lang="en-US">All Currencies [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_currency_AllCurrenciesDomain" xlink:to="lab_currency_AllCurrenciesDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/currency/2025/currency-2025.xsd#currency_EUR" xlink:label="loc_currency_EUR" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_currency_EUR" xml:lang="en-US">Euro Member Countries, Euro</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_currency_EUR" xml:lang="en-US">EUR [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_currency_EUR" xlink:to="lab_currency_EUR" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/currency/2025/currency-2025.xsd#currency_GBP" xlink:label="loc_currency_GBP" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_currency_GBP" xml:lang="en-US">United Kingdom, Pounds</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_currency_GBP" xml:lang="en-US">GBP [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_currency_GBP" xlink:to="lab_currency_GBP" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeLineItems" xlink:label="loc_us-gaap_DerivativeLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeLineItems" xml:lang="en-US">Derivative [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeLineItems" xlink:to="lab_us-gaap_DerivativeLineItems" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DerivativeLiabilitiesNotionalAmount" xlink:label="loc_bxinfra_DerivativeLiabilitiesNotionalAmount" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DerivativeLiabilitiesNotionalAmount" xml:lang="en-US">Derivative Liabilities Notional Amount</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_DerivativeLiabilitiesNotionalAmount" xml:lang="en-US">Derivative liabilities, Notional</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeLiabilitiesNotionalAmount" xlink:to="lab_bxinfra_DerivativeLiabilitiesNotionalAmount" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_DerivativeLiabilitiesNotionalAmount" xml:lang="en-US">Derivative liabilities notional amount.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeFairValueOfDerivativeLiability" xlink:label="loc_us-gaap_DerivativeFairValueOfDerivativeLiability" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeFairValueOfDerivativeLiability" xml:lang="en-US">Derivative Liability, Subject to Master Netting Arrangement, before Offset</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DerivativeFairValueOfDerivativeLiability" xml:lang="en-US">Derivative liabilities, Fair value</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeFairValueOfDerivativeLiability" xlink:to="lab_us-gaap_DerivativeFairValueOfDerivativeLiability" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DerivativeAssetsNotionalAmount" xlink:label="loc_bxinfra_DerivativeAssetsNotionalAmount" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DerivativeAssetsNotionalAmount" xml:lang="en-US">Derivative Assets Notional Amount</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_DerivativeAssetsNotionalAmount" xml:lang="en-US">Derivative Assets, Notional</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeAssetsNotionalAmount" xlink:to="lab_bxinfra_DerivativeAssetsNotionalAmount" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_DerivativeAssetsNotionalAmount" xml:lang="en-US">Derivative assets notional amount.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_MeasurementAxis" xlink:label="loc_bxinfra_MeasurementAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_MeasurementAxis" xml:lang="en-US">Measurement [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_MeasurementAxis" xlink:to="lab_bxinfra_MeasurementAxis" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_MeasurementDomain" xlink:label="loc_bxinfra_MeasurementDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_MeasurementDomain" xml:lang="en-US">Measurement [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_MeasurementDomain" xlink:to="lab_bxinfra_MeasurementDomain" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_NotionalMember" xlink:label="loc_bxinfra_NotionalMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_NotionalMember" xml:lang="en-US">Notional [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_NotionalMember" xlink:to="lab_bxinfra_NotionalMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeGainLossOnDerivativeNetAbstract" xlink:label="loc_us-gaap_DerivativeGainLossOnDerivativeNetAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeGainLossOnDerivativeNetAbstract" xml:lang="en-US">Derivative, Gain (Loss) on Derivative, Net [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DerivativeGainLossOnDerivativeNetAbstract" xml:lang="en-US">Net Change in Unrealized Gain (Loss)</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeGainLossOnDerivativeNetAbstract" xlink:to="lab_us-gaap_DerivativeGainLossOnDerivativeNetAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeGainLossOnDerivativeNet" xlink:label="loc_us-gaap_DerivativeGainLossOnDerivativeNet" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeGainLossOnDerivativeNet" xml:lang="en-US">Derivative, Gain (Loss) on Derivative, Net</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DerivativeGainLossOnDerivativeNet" xml:lang="en-US">Derivative Instruments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeGainLossOnDerivativeNet" xlink:to="lab_us-gaap_DerivativeGainLossOnDerivativeNet" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration" xlink:label="loc_us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration" xml:lang="en-US">Derivative, Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration" xlink:to="lab_us-gaap_DerivativeGainLossStatementOfIncomeOrComprehensiveIncomeExtensibleEnumeration" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DerivativeTypeAxis" xlink:label="loc_bxinfra_DerivativeTypeAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DerivativeTypeAxis" xml:lang="en-US">Derivative Type [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeTypeAxis" xlink:to="lab_bxinfra_DerivativeTypeAxis" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DerivativeTypeDomain" xlink:label="loc_bxinfra_DerivativeTypeDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DerivativeTypeDomain" xml:lang="en-US">Derivative Type [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeTypeDomain" xlink:to="lab_bxinfra_DerivativeTypeDomain" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DerivativeUnrealizedGainLossMember" xlink:label="loc_bxinfra_DerivativeUnrealizedGainLossMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DerivativeUnrealizedGainLossMember" xml:lang="en-US">Derivative Unrealized Gain Loss [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_DerivativeUnrealizedGainLossMember" xml:lang="en-US">Derivative Unrealized Gain (Loss) [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeUnrealizedGainLossMember" xlink:to="lab_bxinfra_DerivativeUnrealizedGainLossMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DerivativeRealizedGainMember" xlink:label="loc_bxinfra_DerivativeRealizedGainMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DerivativeRealizedGainMember" xml:lang="en-US">Derivative Realized Gain [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DerivativeRealizedGainMember" xlink:to="lab_bxinfra_DerivativeRealizedGainMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts" xlink:label="loc_us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts" xml:lang="en-US">Assets Sold under Agreements to Repurchase, Carrying Amount</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts" xml:lang="en-US">Assets Sold under Agreements to Repurchase, Carrying Amount</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts" xlink:to="lab_us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MaturityOvernightAndOnDemandMember" xlink:label="loc_us-gaap_MaturityOvernightAndOnDemandMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_MaturityOvernightAndOnDemandMember" xml:lang="en-US">Maturity Overnight and on Demand [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_MaturityOvernightAndOnDemandMember" xml:lang="en-US">Overnight and Continuous [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MaturityOvernightAndOnDemandMember" xlink:to="lab_us-gaap_MaturityOvernightAndOnDemandMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MaturityUpTo30DaysMember" xlink:label="loc_us-gaap_MaturityUpTo30DaysMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_MaturityUpTo30DaysMember" xml:lang="en-US">Maturity Less than 30 Days [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MaturityUpTo30DaysMember" xlink:to="lab_us-gaap_MaturityUpTo30DaysMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_Maturity30To90DaysMember" xlink:label="loc_us-gaap_Maturity30To90DaysMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_Maturity30To90DaysMember" xml:lang="en-US">Maturity 30 to 90 Days [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_Maturity30To90DaysMember" xlink:to="lab_us-gaap_Maturity30To90DaysMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_MaturityOver90DaysMember" xlink:label="loc_us-gaap_MaturityOver90DaysMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_MaturityOver90DaysMember" xml:lang="en-US">Maturity Greater than 90 Days [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_MaturityOver90DaysMember" xlink:to="lab_us-gaap_MaturityOver90DaysMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_GrossAndNetAmountOfRecognizedLiabilitiesForRepurchaseAgreements" xlink:label="loc_bxinfra_GrossAndNetAmountOfRecognizedLiabilitiesForRepurchaseAgreements" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_GrossAndNetAmountOfRecognizedLiabilitiesForRepurchaseAgreements" xml:lang="en-US">Gross And Net Amount Of Recognized Liabilities For Repurchase Agreements</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_GrossAndNetAmountOfRecognizedLiabilitiesForRepurchaseAgreements" xml:lang="en-US">Gross And Net Amount Of Recognized Liabilities For Repurchase Agreements</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_GrossAndNetAmountOfRecognizedLiabilitiesForRepurchaseAgreements" xlink:to="lab_bxinfra_GrossAndNetAmountOfRecognizedLiabilitiesForRepurchaseAgreements" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_GrossAndNetAmountOfRecognizedLiabilitiesForRepurchaseAgreements" xml:lang="en-US">Gross and net amount of recognized liabilities for repurchase agreements.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_AmountsOfEnforceableMasterNettingArrangement" xlink:label="loc_bxinfra_AmountsOfEnforceableMasterNettingArrangement" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_AmountsOfEnforceableMasterNettingArrangement" xml:lang="en-US">Amounts Of Enforceable Master Netting Arrangement</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_AmountsOfEnforceableMasterNettingArrangement" xml:lang="en-US">Amounts Subject to an Enforceable Master Netting Arrangement</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AmountsOfEnforceableMasterNettingArrangement" xlink:to="lab_bxinfra_AmountsOfEnforceableMasterNettingArrangement" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_AmountsOfEnforceableMasterNettingArrangement" xml:lang="en-US">Amounts of enforceable master netting arrangement.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ReportedSecuritiesPledgedAsCollateralAtFairvalue" xlink:label="loc_bxinfra_ReportedSecuritiesPledgedAsCollateralAtFairvalue" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ReportedSecuritiesPledgedAsCollateralAtFairvalue" xml:lang="en-US">Reported Securities Pledged As Collateral At FairValue</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_ReportedSecuritiesPledgedAsCollateralAtFairvalue" xml:lang="en-US">Reported securities pledged as collateral at fair value</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ReportedSecuritiesPledgedAsCollateralAtFairvalue" xlink:to="lab_bxinfra_ReportedSecuritiesPledgedAsCollateralAtFairvalue" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_ReportedSecuritiesPledgedAsCollateralAtFairvalue" xml:lang="en-US">Reported securities pledged as collateral at fair value.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityTable" xlink:label="loc_us-gaap_LineOfCreditFacilityTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LineOfCreditFacilityTable" xml:lang="en-US">Line of Credit Facility [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityTable" xlink:to="lab_us-gaap_LineOfCreditFacilityTable" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CreditFacilityAxis" xlink:label="loc_us-gaap_CreditFacilityAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CreditFacilityAxis" xml:lang="en-US">Credit Facility [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CreditFacilityAxis" xlink:to="lab_us-gaap_CreditFacilityAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CreditFacilityDomain" xlink:label="loc_us-gaap_CreditFacilityDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CreditFacilityDomain" xml:lang="en-US">Credit Facility [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CreditFacilityDomain" xlink:to="lab_us-gaap_CreditFacilityDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditMember" xlink:label="loc_us-gaap_LineOfCreditMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LineOfCreditMember" xml:lang="en-US">Line of Credit [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditMember" xlink:to="lab_us-gaap_LineOfCreditMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_AgreementAxis" xlink:label="loc_bxinfra_AgreementAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_AgreementAxis" xml:lang="en-US">Agreement [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AgreementAxis" xlink:to="lab_bxinfra_AgreementAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_AgreementAxis" xml:lang="en-US">Agreement.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_AgreementDomain" xlink:label="loc_bxinfra_AgreementDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_AgreementDomain" xml:lang="en-US">Agreement [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AgreementDomain" xlink:to="lab_bxinfra_AgreementDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_AgreementDomain" xml:lang="en-US">Agreement</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_VariableRateAxis" xlink:label="loc_us-gaap_VariableRateAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_VariableRateAxis" xml:lang="en-US">Variable Rate [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_VariableRateAxis" xlink:to="lab_us-gaap_VariableRateAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_VariableRateDomain" xlink:label="loc_us-gaap_VariableRateDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_VariableRateDomain" xml:lang="en-US">Variable Rate [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_VariableRateDomain" xlink:to="lab_us-gaap_VariableRateDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityAxis" xlink:label="loc_us-gaap_LineOfCreditFacilityAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LineOfCreditFacilityAxis" xml:lang="en-US">Lender Name [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityAxis" xlink:to="lab_us-gaap_LineOfCreditFacilityAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityLenderDomain" xlink:label="loc_us-gaap_LineOfCreditFacilityLenderDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LineOfCreditFacilityLenderDomain" xml:lang="en-US">Line of Credit Facility, Lender [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityLenderDomain" xlink:to="lab_us-gaap_LineOfCreditFacilityLenderDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityLineItems" xlink:label="loc_us-gaap_LineOfCreditFacilityLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LineOfCreditFacilityLineItems" xml:lang="en-US">Line of Credit Facility [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityLineItems" xlink:to="lab_us-gaap_LineOfCreditFacilityLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:label="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xml:lang="en-US">Line of Credit Facility, Maximum Borrowing Capacity</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xml:lang="en-US">Line of credit facility, maximum borrowing capacity</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" xlink:to="lab_us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonClassAMember" xlink:label="loc_us-gaap_CommonClassAMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CommonClassAMember" xml:lang="en-US">Common Class A [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_CommonClassAMember" xml:lang="en-US">Common Class A [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CommonClassAMember" xml:lang="en-US">Class&#160;A&#160;Units [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonClassAMember" xlink:to="lab_us-gaap_CommonClassAMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ShareRepurchaseProgramAxis" xlink:label="loc_srt_ShareRepurchaseProgramAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_ShareRepurchaseProgramAxis" xml:lang="en-US">Share Repurchase Program [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_ShareRepurchaseProgramAxis" xlink:to="lab_srt_ShareRepurchaseProgramAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ShareRepurchaseProgramDomain" xlink:label="loc_srt_ShareRepurchaseProgramDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_srt_ShareRepurchaseProgramDomain" xml:lang="en-US">Share Repurchase Program [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_ShareRepurchaseProgramDomain" xlink:to="lab_srt_ShareRepurchaseProgramDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_NetAssetValuePerShare" xlink:label="loc_us-gaap_NetAssetValuePerShare" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_NetAssetValuePerShare" xml:lang="en-US">Net Asset Value Per Share</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_NetAssetValuePerShare" xml:lang="en-US">Net Asset Value Per Share</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:label="lab_us-gaap_NetAssetValuePerShare" xml:lang="en-US">Net Asset Value, Beginning of Period</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:label="lab_us-gaap_NetAssetValuePerShare" xml:lang="en-US">Net Asset Value, End of Period</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_NetAssetValuePerShare" xml:lang="en-US">Net Asset Value Per Unit</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_NetAssetValuePerShare" xlink:to="lab_us-gaap_NetAssetValuePerShare" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_PercentageOfRepurchaseOfUnitsOutstanding" xlink:label="loc_bxinfra_PercentageOfRepurchaseOfUnitsOutstanding" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_PercentageOfRepurchaseOfUnitsOutstanding" xml:lang="en-US">Percentage Of Repurchase Of Units Outstanding</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_PercentageOfRepurchaseOfUnitsOutstanding" xml:lang="en-US">Percentage Of Repurchase Of Units Outstanding</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PercentageOfRepurchaseOfUnitsOutstanding" xlink:to="lab_bxinfra_PercentageOfRepurchaseOfUnitsOutstanding" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_PercentageOfRepurchaseOfUnitsOutstanding" xml:lang="en-US">Percentage Of Repurchase Of Units Outstanding.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_PercentageOfEarlyDeductionUnitsRepurchased" xlink:label="loc_bxinfra_PercentageOfEarlyDeductionUnitsRepurchased" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_PercentageOfEarlyDeductionUnitsRepurchased" xml:lang="en-US">Percentage Of Early Deduction Units Repurchased</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_PercentageOfEarlyDeductionUnitsRepurchased" xml:lang="en-US">Percentage Of Early Deduction Units Repurchased</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PercentageOfEarlyDeductionUnitsRepurchased" xlink:to="lab_bxinfra_PercentageOfEarlyDeductionUnitsRepurchased" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_PercentageOfEarlyDeductionUnitsRepurchased" xml:lang="en-US">Percentage Of Early Deduction Units Repurchased.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PartnersCapitalAccountUnitsRedeemed" xlink:label="loc_us-gaap_PartnersCapitalAccountUnitsRedeemed" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_PartnersCapitalAccountUnitsRedeemed" xml:lang="en-US">Partners' Capital Account, Units, Redeemed</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_PartnersCapitalAccountUnitsRedeemed" xml:lang="en-US">Partners capital account units redeemed</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PartnersCapitalAccountUnitsRedeemed" xlink:to="lab_us-gaap_PartnersCapitalAccountUnitsRedeemed" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PartnersCapitalAccountRedemptions" xlink:label="loc_us-gaap_PartnersCapitalAccountRedemptions" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_PartnersCapitalAccountRedemptions" xml:lang="en-US">Partners' Capital Account, Redemptions</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_PartnersCapitalAccountRedemptions" xml:lang="en-US">Partners' capital account, redemptions</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PartnersCapitalAccountRedemptions" xlink:to="lab_us-gaap_PartnersCapitalAccountRedemptions" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" xlink:label="loc_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" xml:lang="en-US">Related and Nonrelated Parties [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" xlink:to="lab_us-gaap_RelatedPartyTransactionsByRelatedPartyAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyDomain" xlink:label="loc_us-gaap_RelatedPartyDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RelatedPartyDomain" xml:lang="en-US">Related and Nonrelated Parties [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyDomain" xlink:to="lab_us-gaap_RelatedPartyDomain" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_FeederMember" xlink:label="loc_bxinfra_FeederMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_FeederMember" xml:lang="en-US">Feeder [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_FeederMember" xlink:to="lab_bxinfra_FeederMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_FeederMember" xml:lang="en-US">Feeder.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockIssuedDuringPeriodSharesNewIssues" xlink:label="loc_us-gaap_StockIssuedDuringPeriodSharesNewIssues" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues" xml:lang="en-US">Stock Issued During Period, Shares, New Issues</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues" xml:lang="en-US">Units Issued</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockIssuedDuringPeriodSharesNewIssues" xlink:to="lab_us-gaap_StockIssuedDuringPeriodSharesNewIssues" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits" xlink:label="loc_us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits" xml:lang="en-US">Stock Issued During Period, Shares, Conversion of Units</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits" xml:lang="en-US">Conversion of Units Between Classes</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits" xlink:to="lab_us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan" xlink:label="loc_us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan" xml:lang="en-US">Stock Issued During Period, Shares, Dividend Reinvestment Plan</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan" xml:lang="en-US">Distribution Reinvested</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan" xlink:to="lab_us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_StockRedeemedOrCalledDuringPeriodShares" xlink:label="loc_us-gaap_StockRedeemedOrCalledDuringPeriodShares" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_StockRedeemedOrCalledDuringPeriodShares" xml:lang="en-US">Stock Redeemed or Called During Period, Shares</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_StockRedeemedOrCalledDuringPeriodShares" xml:lang="en-US">Redemption of Units</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_StockRedeemedOrCalledDuringPeriodShares" xlink:to="lab_us-gaap_StockRedeemedOrCalledDuringPeriodShares" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DistributionsMadeToMemberOrLimitedPartnerByDistributionTypeAxis" xlink:label="loc_us-gaap_DistributionsMadeToMemberOrLimitedPartnerByDistributionTypeAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DistributionsMadeToMemberOrLimitedPartnerByDistributionTypeAxis" xml:lang="en-US">Distribution Type [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DistributionsMadeToMemberOrLimitedPartnerByDistributionTypeAxis" xlink:to="lab_us-gaap_DistributionsMadeToMemberOrLimitedPartnerByDistributionTypeAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DistributionTypeDomain" xlink:label="loc_us-gaap_DistributionTypeDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DistributionTypeDomain" xml:lang="en-US">Distribution Type [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DistributionTypeDomain" xlink:to="lab_us-gaap_DistributionTypeDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_UnitDistributionMember" xlink:label="loc_us-gaap_UnitDistributionMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_UnitDistributionMember" xml:lang="en-US">Unit Distribution [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_UnitDistributionMember" xlink:to="lab_us-gaap_UnitDistributionMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DistributionMadeToLimitedPartnerLineItems" xlink:label="loc_us-gaap_DistributionMadeToLimitedPartnerLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DistributionMadeToLimitedPartnerLineItems" xml:lang="en-US">Distribution Made to Limited Partner [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DistributionMadeToLimitedPartnerLineItems" xlink:to="lab_us-gaap_DistributionMadeToLimitedPartnerLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DistributionMadeToLimitedPartnerDistributionsDeclaredPerUnit" xlink:label="loc_us-gaap_DistributionMadeToLimitedPartnerDistributionsDeclaredPerUnit" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DistributionMadeToLimitedPartnerDistributionsDeclaredPerUnit" xml:lang="en-US">Distribution Made to Limited Partner, Distributions Declared, Per Unit</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DistributionMadeToLimitedPartnerDistributionsDeclaredPerUnit" xml:lang="en-US">Distributions per Unit</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DistributionMadeToLimitedPartnerDistributionsDeclaredPerUnit" xlink:to="lab_us-gaap_DistributionMadeToLimitedPartnerDistributionsDeclaredPerUnit" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DistributionMadeToLimitedPartnerDeclarationDate" xlink:label="loc_us-gaap_DistributionMadeToLimitedPartnerDeclarationDate" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DistributionMadeToLimitedPartnerDeclarationDate" xml:lang="en-US">Distribution Made to Limited Partner, Declaration Date</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DistributionMadeToLimitedPartnerDeclarationDate" xlink:to="lab_us-gaap_DistributionMadeToLimitedPartnerDeclarationDate" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DistributionMadeToLimitedPartnerDateOfRecord" xlink:label="loc_us-gaap_DistributionMadeToLimitedPartnerDateOfRecord" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DistributionMadeToLimitedPartnerDateOfRecord" xml:lang="en-US">Distribution Made to Limited Partner, Date of Record</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DistributionMadeToLimitedPartnerDateOfRecord" xlink:to="lab_us-gaap_DistributionMadeToLimitedPartnerDateOfRecord" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DistributionMadeToLimitedPartnerDistributionDate" xlink:label="loc_us-gaap_DistributionMadeToLimitedPartnerDistributionDate" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DistributionMadeToLimitedPartnerDistributionDate" xml:lang="en-US">Distribution Made to Limited Partner, Distribution Date</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DistributionMadeToLimitedPartnerDistributionDate" xlink:to="lab_us-gaap_DistributionMadeToLimitedPartnerDistributionDate" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DistrubutionAxis" xlink:label="loc_bxinfra_DistrubutionAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DistrubutionAxis" xml:lang="en-US">Distrubution [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DistrubutionAxis" xlink:to="lab_bxinfra_DistrubutionAxis" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DistrubutionDomain" xlink:label="loc_bxinfra_DistrubutionDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DistrubutionDomain" xml:lang="en-US">Distrubution [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DistrubutionDomain" xlink:to="lab_bxinfra_DistrubutionDomain" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DistrubutionRecordDateAxis" xlink:label="loc_bxinfra_DistrubutionRecordDateAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DistrubutionRecordDateAxis" xml:lang="en-US">Distrubution Record Date [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DistrubutionRecordDateAxis" xlink:to="lab_bxinfra_DistrubutionRecordDateAxis" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DistrubutionRecordDateDomain" xlink:label="loc_bxinfra_DistrubutionRecordDateDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DistrubutionRecordDateDomain" xml:lang="en-US">Distrubution Record Date [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DistrubutionRecordDateDomain" xlink:to="lab_bxinfra_DistrubutionRecordDateDomain" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_MarchThirtyOneTwoThousandTwentyFiveMember" xlink:label="loc_bxinfra_MarchThirtyOneTwoThousandTwentyFiveMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_MarchThirtyOneTwoThousandTwentyFiveMember" xml:lang="en-US">March thirty one two thousand twenty five [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_MarchThirtyOneTwoThousandTwentyFiveMember" xml:lang="en-US">March&#160;31,&#160;2025</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_MarchThirtyOneTwoThousandTwentyFiveMember" xlink:to="lab_bxinfra_MarchThirtyOneTwoThousandTwentyFiveMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_MarchThirtyOneTwoThousandTwentyFiveMember" xml:lang="en-US">March thirty one two thousand twenty five.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_JuneThirtyTwoThousandTwentyFiveMember" xlink:label="loc_bxinfra_JuneThirtyTwoThousandTwentyFiveMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_JuneThirtyTwoThousandTwentyFiveMember" xml:lang="en-US">June thirty two thousand twenty five [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_JuneThirtyTwoThousandTwentyFiveMember" xml:lang="en-US">June&#160;30, 2025</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_JuneThirtyTwoThousandTwentyFiveMember" xlink:to="lab_bxinfra_JuneThirtyTwoThousandTwentyFiveMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_JuneThirtyTwoThousandTwentyFiveMember" xml:lang="en-US">June thirty two thousand twenty five.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_SeptemberThirtyTwoThousandTwentyFiveMember" xlink:label="loc_bxinfra_SeptemberThirtyTwoThousandTwentyFiveMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_SeptemberThirtyTwoThousandTwentyFiveMember" xml:lang="en-US">September thirty two thousand twenty five [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_SeptemberThirtyTwoThousandTwentyFiveMember" xml:lang="en-US">September&#160;30,&#160;2025</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_SeptemberThirtyTwoThousandTwentyFiveMember" xlink:to="lab_bxinfra_SeptemberThirtyTwoThousandTwentyFiveMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_SeptemberThirtyTwoThousandTwentyFiveMember" xml:lang="en-US">September thirty two thousand twenty five.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DecemberThirtyOneTwoThousandTwentyFiveMember" xlink:label="loc_bxinfra_DecemberThirtyOneTwoThousandTwentyFiveMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DecemberThirtyOneTwoThousandTwentyFiveMember" xml:lang="en-US">December thirty one two thousand twenty five [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_DecemberThirtyOneTwoThousandTwentyFiveMember" xml:lang="en-US">December&#160;31,&#160;2025</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DecemberThirtyOneTwoThousandTwentyFiveMember" xlink:to="lab_bxinfra_DecemberThirtyOneTwoThousandTwentyFiveMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_DecemberThirtyOneTwoThousandTwentyFiveMember" xml:lang="en-US">December thirty one two thousand twenty five.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentDescriptionOfVariableRateBasis" xlink:label="loc_us-gaap_DebtInstrumentDescriptionOfVariableRateBasis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DebtInstrumentDescriptionOfVariableRateBasis" xml:lang="en-US">Debt Instrument, Description of Variable Rate Basis</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DebtInstrumentDescriptionOfVariableRateBasis" xml:lang="en-US">Debt Instrument, Description of Variable Rate Basis</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentDescriptionOfVariableRateBasis" xlink:to="lab_us-gaap_DebtInstrumentDescriptionOfVariableRateBasis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentBasisSpreadOnVariableRate1" xlink:label="loc_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1" xml:lang="en-US">Debt Instrument, Basis Spread on Variable Rate</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1" xml:lang="en-US">Debt Instrument, Basis Spread on Variable Rate</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1" xlink:to="lab_us-gaap_DebtInstrumentBasisSpreadOnVariableRate1" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentUnusedBorrowingCapacityDescription" xlink:label="loc_us-gaap_DebtInstrumentUnusedBorrowingCapacityDescription" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DebtInstrumentUnusedBorrowingCapacityDescription" xml:lang="en-US">Debt Instrument, Unused Borrowing Capacity, Description</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DebtInstrumentUnusedBorrowingCapacityDescription" xml:lang="en-US">Debt Instrument, Unused Borrowing Capacity, Description</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentUnusedBorrowingCapacityDescription" xlink:to="lab_us-gaap_DebtInstrumentUnusedBorrowingCapacityDescription" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentInterestRateEffectivePercentage" xlink:label="loc_us-gaap_DebtInstrumentInterestRateEffectivePercentage" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DebtInstrumentInterestRateEffectivePercentage" xml:lang="en-US">Debt Instrument, Interest Rate, Effective Percentage</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DebtInstrumentInterestRateEffectivePercentage" xml:lang="en-US">Debt Instrument, Interest Rate, Effective Percentage</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentInterestRateEffectivePercentage" xlink:to="lab_us-gaap_DebtInstrumentInterestRateEffectivePercentage" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage" xlink:label="loc_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage" xml:lang="en-US">Line of Credit Facility, Unused Capacity, Commitment Fee Percentage</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage" xml:lang="en-US">Line of credit facility, unused capacity, commitment fee percentage</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage" xlink:to="lab_us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentMaturityDate" xlink:label="loc_us-gaap_DebtInstrumentMaturityDate" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DebtInstrumentMaturityDate" xml:lang="en-US">Debt Instrument, Maturity Date</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DebtInstrumentMaturityDate" xml:lang="en-US">Debt Instrument, Maturity Date</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentMaturityDate" xlink:to="lab_us-gaap_DebtInstrumentMaturityDate" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityMaximumAmountOutstandingDuringPeriod" xlink:label="loc_us-gaap_LineOfCreditFacilityMaximumAmountOutstandingDuringPeriod" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LineOfCreditFacilityMaximumAmountOutstandingDuringPeriod" xml:lang="en-US">Line of Credit Facility, Maximum Amount Outstanding During Period</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LineOfCreditFacilityMaximumAmountOutstandingDuringPeriod" xml:lang="en-US">Line of credit facility, maximum amount outstanding during period</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityMaximumAmountOutstandingDuringPeriod" xlink:to="lab_us-gaap_LineOfCreditFacilityMaximumAmountOutstandingDuringPeriod" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_LineOfCreditFacilityInterestRateDuringPeriod" xlink:label="loc_us-gaap_LineOfCreditFacilityInterestRateDuringPeriod" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_LineOfCreditFacilityInterestRateDuringPeriod" xml:lang="en-US">Line of Credit Facility, Interest Rate During Period</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_LineOfCreditFacilityInterestRateDuringPeriod" xml:lang="en-US">Line of credit facility, interest rate during period</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_LineOfCreditFacilityInterestRateDuringPeriod" xlink:to="lab_us-gaap_LineOfCreditFacilityInterestRateDuringPeriod" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeOne" xlink:label="loc_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeOne" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeOne" xml:lang="en-US">Line Of Credit Facility Minimum Utilization Percentage Range One</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeOne" xml:lang="en-US">Line Of Credit Facility Minimum Utilization Percentage Range One</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeOne" xlink:to="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeOne" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeOne" xml:lang="en-US">line of credit facility minimum utilization percentage range one</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeTwo" xlink:label="loc_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeTwo" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeTwo" xml:lang="en-US">Line Of Credit Facility Minimum Utilization Percentage Range Two</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeTwo" xml:lang="en-US">Line Of Credit Facility Minimum Utilization Percentage Range Two</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeTwo" xlink:to="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeTwo" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeTwo" xml:lang="en-US">line of credit facility minimum utilization percentage range two</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeThree" xlink:label="loc_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeThree" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeThree" xml:lang="en-US">Line Of Credit Facility Minimum Utilization Percentage Range Three</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeThree" xml:lang="en-US">Line Of Credit Facility Minimum Utilization Percentage Range Three</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeThree" xlink:to="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeThree" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_LineOfCreditFacilityMinimumUtilizationPercentageRangeThree" xml:lang="en-US">line of credit facility minimum utilization percentage range three</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_LineOfCreditFacilityAverageUtilizationFeePercentage" xlink:label="loc_bxinfra_LineOfCreditFacilityAverageUtilizationFeePercentage" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_LineOfCreditFacilityAverageUtilizationFeePercentage" xml:lang="en-US">Line Of Credit Facility Average Utilization Fee Percentage</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_LineOfCreditFacilityAverageUtilizationFeePercentage" xml:lang="en-US">Line Of Credit Facility Average Utilization Fee Percentage</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_LineOfCreditFacilityAverageUtilizationFeePercentage" xlink:to="lab_bxinfra_LineOfCreditFacilityAverageUtilizationFeePercentage" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_LineOfCreditFacilityAverageUtilizationFeePercentage" xml:lang="en-US">line of credit facility average utilization fee percentage</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DebtInstrumentLoanToValueRatioApplicableLimit" xlink:label="loc_bxinfra_DebtInstrumentLoanToValueRatioApplicableLimit" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DebtInstrumentLoanToValueRatioApplicableLimit" xml:lang="en-US">Debt Instrument Loan To Value Ratio Applicable Limit</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_DebtInstrumentLoanToValueRatioApplicableLimit" xml:lang="en-US">Debt Instrument Loan To Value Ratio Applicable Limit</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DebtInstrumentLoanToValueRatioApplicableLimit" xlink:to="lab_bxinfra_DebtInstrumentLoanToValueRatioApplicableLimit" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_DebtInstrumentLoanToValueRatioApplicableLimit" xml:lang="en-US">Debt instrument loan to value ratio applicable limit</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DebtInstrumentSOFRSpreadPercentage" xlink:label="loc_bxinfra_DebtInstrumentSOFRSpreadPercentage" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DebtInstrumentSOFRSpreadPercentage" xml:lang="en-US">Debt Instrument SOFR Spread Percentage</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_DebtInstrumentSOFRSpreadPercentage" xml:lang="en-US">Debt Instrument SOFR Spread Percentage</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DebtInstrumentSOFRSpreadPercentage" xlink:to="lab_bxinfra_DebtInstrumentSOFRSpreadPercentage" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_DebtInstrumentSOFRSpreadPercentage" xml:lang="en-US">Debt instrument sofr spread percentage</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DebtInstrumentBaseRateSpreadPercentage" xlink:label="loc_bxinfra_DebtInstrumentBaseRateSpreadPercentage" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DebtInstrumentBaseRateSpreadPercentage" xml:lang="en-US">Debt Instrument Base Rate Spread Percentage</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_DebtInstrumentBaseRateSpreadPercentage" xml:lang="en-US">Debt Instrument Base Rate Spread Percentage</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DebtInstrumentBaseRateSpreadPercentage" xlink:to="lab_bxinfra_DebtInstrumentBaseRateSpreadPercentage" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_DebtInstrumentBaseRateSpreadPercentage" xml:lang="en-US">Debt instrument base rate spread percentage</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DebtInstrumentDefaultRateIncreasePercentage" xlink:label="loc_bxinfra_DebtInstrumentDefaultRateIncreasePercentage" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DebtInstrumentDefaultRateIncreasePercentage" xml:lang="en-US">Debt Instrument Default Rate Increase Percentage</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_DebtInstrumentDefaultRateIncreasePercentage" xml:lang="en-US">Debt Instrument Default Rate Increase Percentage</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DebtInstrumentDefaultRateIncreasePercentage" xlink:to="lab_bxinfra_DebtInstrumentDefaultRateIncreasePercentage" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_DebtInstrumentDefaultRateIncreasePercentage" xml:lang="en-US">Debt instrument default rate increase percentage</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsequentEventTypeAxis" xlink:label="loc_us-gaap_SubsequentEventTypeAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SubsequentEventTypeAxis" xml:lang="en-US">Subsequent Event Type [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventTypeAxis" xlink:to="lab_us-gaap_SubsequentEventTypeAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsequentEventTypeDomain" xlink:label="loc_us-gaap_SubsequentEventTypeDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SubsequentEventTypeDomain" xml:lang="en-US">Subsequent Event Type [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventTypeDomain" xlink:to="lab_us-gaap_SubsequentEventTypeDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_SubsequentEventMember" xlink:label="loc_us-gaap_SubsequentEventMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_SubsequentEventMember" xml:lang="en-US">Subsequent Event [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_SubsequentEventMember" xml:lang="en-US">Subsequent Event [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_SubsequentEventMember" xlink:to="lab_us-gaap_SubsequentEventMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_BrentwoodCreditFacilityMember" xlink:label="loc_bxinfra_BrentwoodCreditFacilityMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_BrentwoodCreditFacilityMember" xml:lang="en-US">Brentwood Credit Facility [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_BrentwoodCreditFacilityMember" xml:lang="en-US">Brentwood Credit Facility [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_BrentwoodCreditFacilityMember" xlink:to="lab_bxinfra_BrentwoodCreditFacilityMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_BrentwoodCreditFacilityMember" xml:lang="en-US">Brentwood credit facility.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_JutlandCreditFacilityMember" xlink:label="loc_bxinfra_JutlandCreditFacilityMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_JutlandCreditFacilityMember" xml:lang="en-US">Jutland Credit Facility [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_JutlandCreditFacilityMember" xlink:to="lab_bxinfra_JutlandCreditFacilityMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_JutlandCreditFacilityMember" xml:lang="en-US">Jutland credit facility</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_AggregatorCreditAgreementMember" xlink:label="loc_bxinfra_AggregatorCreditAgreementMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_AggregatorCreditAgreementMember" xml:lang="en-US">Aggregator Credit Agreement [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AggregatorCreditAgreementMember" xlink:to="lab_bxinfra_AggregatorCreditAgreementMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_UnusedAmountTermAxis" xlink:label="loc_bxinfra_UnusedAmountTermAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_UnusedAmountTermAxis" xml:lang="en-US">Unused Amount Term [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_UnusedAmountTermAxis" xlink:to="lab_bxinfra_UnusedAmountTermAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_UnusedAmountTermAxis" xml:lang="en-US">Unused amount term.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_UnusedAmountTermDomain" xlink:label="loc_bxinfra_UnusedAmountTermDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_UnusedAmountTermDomain" xml:lang="en-US">Unused Amount Term [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_UnusedAmountTermDomain" xlink:to="lab_bxinfra_UnusedAmountTermDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_UnusedAmountTermDomain" xml:lang="en-US">Unused amount term.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_FirstUnusedAmountMember" xlink:label="loc_bxinfra_FirstUnusedAmountMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_FirstUnusedAmountMember" xml:lang="en-US">First Unused Amount [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_FirstUnusedAmountMember" xml:lang="en-US">First Unused Amount [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_FirstUnusedAmountMember" xlink:to="lab_bxinfra_FirstUnusedAmountMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_FirstUnusedAmountMember" xml:lang="en-US">First unused amount.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_SecondUnusedAmountMember" xlink:label="loc_bxinfra_SecondUnusedAmountMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_SecondUnusedAmountMember" xml:lang="en-US">Second Unused Amount [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_SecondUnusedAmountMember" xml:lang="en-US">Second Unused Amount [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_SecondUnusedAmountMember" xlink:to="lab_bxinfra_SecondUnusedAmountMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_SecondUnusedAmountMember" xml:lang="en-US">Second unused amount.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentAxis" xlink:label="loc_us-gaap_DebtInstrumentAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DebtInstrumentAxis" xml:lang="en-US">Debt Instrument [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentAxis" xlink:to="lab_us-gaap_DebtInstrumentAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DebtInstrumentNameDomain" xlink:label="loc_us-gaap_DebtInstrumentNameDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DebtInstrumentNameDomain" xml:lang="en-US">Debt Instrument, Name [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DebtInstrumentNameDomain" xlink:to="lab_us-gaap_DebtInstrumentNameDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PartnerTypeOfPartnersCapitalAccountAxis" xlink:label="loc_us-gaap_PartnerTypeOfPartnersCapitalAccountAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_PartnerTypeOfPartnersCapitalAccountAxis" xml:lang="en-US">Partner Type [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PartnerTypeOfPartnersCapitalAccountAxis" xlink:to="lab_us-gaap_PartnerTypeOfPartnersCapitalAccountAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_PartnerTypeOfPartnersCapitalAccountNameDomain" xlink:label="loc_us-gaap_PartnerTypeOfPartnersCapitalAccountNameDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_PartnerTypeOfPartnersCapitalAccountNameDomain" xml:lang="en-US">Partner Type of Partners' Capital Account, Name [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_PartnerTypeOfPartnersCapitalAccountNameDomain" xlink:to="lab_us-gaap_PartnerTypeOfPartnersCapitalAccountNameDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GeneralPartnerMember" xlink:label="loc_us-gaap_GeneralPartnerMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_GeneralPartnerMember" xml:lang="en-US">General Partner [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_GeneralPartnerMember" xml:lang="en-US">General Partner [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_GeneralPartnerMember" xlink:to="lab_us-gaap_GeneralPartnerMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_PerformanceParticipationAllocationMember" xlink:label="loc_bxinfra_PerformanceParticipationAllocationMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_PerformanceParticipationAllocationMember" xml:lang="en-US">Performance Participation Allocation [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_PerformanceParticipationAllocationMember" xml:lang="en-US">Performance Participation Allocation [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PerformanceParticipationAllocationMember" xlink:to="lab_bxinfra_PerformanceParticipationAllocationMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_PerformanceParticipationAllocationMember" xml:lang="en-US">Performance participation allocation.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_PartnershipAgreementAndInvestmentManagementAgreementMember" xlink:label="loc_bxinfra_PartnershipAgreementAndInvestmentManagementAgreementMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_PartnershipAgreementAndInvestmentManagementAgreementMember" xml:lang="en-US">Partnership Agreement and Investment Management Agreement [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_PartnershipAgreementAndInvestmentManagementAgreementMember" xml:lang="en-US">Partnership Agreement and Investment Management Agreement [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PartnershipAgreementAndInvestmentManagementAgreementMember" xlink:to="lab_bxinfra_PartnershipAgreementAndInvestmentManagementAgreementMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_PartnershipAgreementAndInvestmentManagementAgreementMember" xml:lang="en-US">Partnership agreement and investment management agreement.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyTransactionAxis" xlink:label="loc_us-gaap_RelatedPartyTransactionAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RelatedPartyTransactionAxis" xml:lang="en-US">Related Party Transaction [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionAxis" xlink:to="lab_us-gaap_RelatedPartyTransactionAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyTransactionDomain" xlink:label="loc_us-gaap_RelatedPartyTransactionDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RelatedPartyTransactionDomain" xml:lang="en-US">Related Party Transaction [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionDomain" xlink:to="lab_us-gaap_RelatedPartyTransactionDomain" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InvestmentManagerMember" xlink:label="loc_bxinfra_InvestmentManagerMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_InvestmentManagerMember" xml:lang="en-US">Investment Manager [Member]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_InvestmentManagerMember" xml:lang="en-US">Investment Manager [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentManagerMember" xlink:to="lab_bxinfra_InvestmentManagerMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InvestmentManagerMember" xml:lang="en-US">Investment manager.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_PercentageOfPerformanceParticipationAllocationOfPartnersToTotalReturn" xlink:label="loc_bxinfra_PercentageOfPerformanceParticipationAllocationOfPartnersToTotalReturn" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_PercentageOfPerformanceParticipationAllocationOfPartnersToTotalReturn" xml:lang="en-US">Percentage Of Performance Participation Allocation Of Partners To total Return</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_PercentageOfPerformanceParticipationAllocationOfPartnersToTotalReturn" xml:lang="en-US">Percentage of performance participation allocation of partners to total return</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PercentageOfPerformanceParticipationAllocationOfPartnersToTotalReturn" xlink:to="lab_bxinfra_PercentageOfPerformanceParticipationAllocationOfPartnersToTotalReturn" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_PercentageOfPerformanceParticipationAllocationOfPartnersToTotalReturn" xml:lang="en-US">Percentage of performance participation allocation of partners to total return.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_PercentageOfAnnualHurdleAmount" xlink:label="loc_bxinfra_PercentageOfAnnualHurdleAmount" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_PercentageOfAnnualHurdleAmount" xml:lang="en-US">Percentage Of Annual Hurdle Amount</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_PercentageOfAnnualHurdleAmount" xml:lang="en-US">Percentage of annual hurdle amount</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PercentageOfAnnualHurdleAmount" xlink:to="lab_bxinfra_PercentageOfAnnualHurdleAmount" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_PercentageOfAnnualHurdleAmount" xml:lang="en-US">Percentage of annual hurdle amount.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_PercentageOfHighWaterMarkCatchUp" xlink:label="loc_bxinfra_PercentageOfHighWaterMarkCatchUp" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_PercentageOfHighWaterMarkCatchUp" xml:lang="en-US">Percentage Of High water mark catch Up</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_PercentageOfHighWaterMarkCatchUp" xml:lang="en-US">Percentage Of high water mark catch Up</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PercentageOfHighWaterMarkCatchUp" xlink:to="lab_bxinfra_PercentageOfHighWaterMarkCatchUp" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_PercentageOfHighWaterMarkCatchUp" xml:lang="en-US">Percentage of high water mark catch up.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_PercentageOfAdministrationFeePayable" xlink:label="loc_bxinfra_PercentageOfAdministrationFeePayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_PercentageOfAdministrationFeePayable" xml:lang="en-US">Percentage of Administration fee payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_PercentageOfAdministrationFeePayable" xml:lang="en-US">Percentage of administration fee payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PercentageOfAdministrationFeePayable" xlink:to="lab_bxinfra_PercentageOfAdministrationFeePayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_PercentageOfAdministrationFeePayable" xml:lang="en-US">Percentage of administration fee payable.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_PercentageOfManagementFeePayable" xlink:label="loc_bxinfra_PercentageOfManagementFeePayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_PercentageOfManagementFeePayable" xml:lang="en-US">Percentage of management fee payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_PercentageOfManagementFeePayable" xml:lang="en-US">Percentage of management fee payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PercentageOfManagementFeePayable" xlink:to="lab_bxinfra_PercentageOfManagementFeePayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_PercentageOfManagementFeePayable" xml:lang="en-US">Percentage of management fee payable.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ManagementAndServiceFeesRate" xlink:label="loc_us-gaap_ManagementAndServiceFeesRate" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ManagementAndServiceFeesRate" xml:lang="en-US">Management and Service Fees, Rate</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_ManagementAndServiceFeesRate" xml:lang="en-US">Management and service fees, rate</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ManagementAndServiceFeesRate" xlink:to="lab_us-gaap_ManagementAndServiceFeesRate" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_PerformanceParticipationAllocation" xlink:label="loc_bxinfra_PerformanceParticipationAllocation" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_PerformanceParticipationAllocation" xml:lang="en-US">Performance Participation Allocation</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_PerformanceParticipationAllocation" xml:lang="en-US">Performance participation allocation</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_PerformanceParticipationAllocation" xlink:to="lab_bxinfra_PerformanceParticipationAllocation" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_PerformanceParticipationAllocation" xml:lang="en-US">Performance participation allocation.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_GrossManagementFee" xlink:label="loc_bxinfra_GrossManagementFee" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_GrossManagementFee" xml:lang="en-US">Gross Management Fee</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_GrossManagementFee" xml:lang="en-US">Gross Management Fee</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_GrossManagementFee" xlink:to="lab_bxinfra_GrossManagementFee" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_GrossManagementFee" xml:lang="en-US">Gross management fee.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_AdministrationFeePayable" xlink:label="loc_bxinfra_AdministrationFeePayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_AdministrationFeePayable" xml:lang="en-US">Administration Fee Payable</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_AdministrationFeePayable" xml:lang="en-US">Administration fee payable</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AdministrationFeePayable" xlink:to="lab_bxinfra_AdministrationFeePayable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_AdministrationFeePayable" xml:lang="en-US">Administration Fee Payable.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyVoluntaryFeeWaived" xlink:label="loc_us-gaap_InvestmentCompanyVoluntaryFeeWaived" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyVoluntaryFeeWaived" xml:lang="en-US">Investment Company, Voluntary Fee Waived</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentCompanyVoluntaryFeeWaived" xml:lang="en-US">Investment company, voluntary fee waived</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyVoluntaryFeeWaived" xlink:to="lab_us-gaap_InvestmentCompanyVoluntaryFeeWaived" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum" xlink:label="loc_bxinfra_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum" xml:lang="en-US">Specified Expenses As A Percentage Of Net Asset Value Maximum</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum" xml:lang="en-US">Specified expenses as a percentage of net asset value maximum</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum" xlink:to="lab_bxinfra_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_SpecifiedExpensesAsAPercentageOfNetAssetValueMaximum" xml:lang="en-US">Specified expenses as a percentage of net asset value maximum.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_AccruedAdministrationFees" xlink:label="loc_bxinfra_AccruedAdministrationFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_AccruedAdministrationFees" xml:lang="en-US">Accrued Administration Fees</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_AccruedAdministrationFees" xml:lang="en-US">Accrued administration fees</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AccruedAdministrationFees" xlink:to="lab_bxinfra_AccruedAdministrationFees" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_AccruedAdministrationFees" xml:lang="en-US">Accrued administration fees.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_AccruedWaivedExpenses" xlink:label="loc_bxinfra_AccruedWaivedExpenses" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_AccruedWaivedExpenses" xml:lang="en-US">Accrued Waived Expenses</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_AccruedWaivedExpenses" xml:lang="en-US">Accrued waived expenses</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AccruedWaivedExpenses" xlink:to="lab_bxinfra_AccruedWaivedExpenses" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_AccruedWaivedExpenses" xml:lang="en-US">Accrued waived expenses.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RelatedPartyTransactionAmountsOfTransaction" xlink:label="loc_us-gaap_RelatedPartyTransactionAmountsOfTransaction" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_RelatedPartyTransactionAmountsOfTransaction" xml:lang="en-US">Related Party Transaction, Amounts of Transaction</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_RelatedPartyTransactionAmountsOfTransaction" xml:lang="en-US">Related party transaction, amounts of transaction</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_RelatedPartyTransactionAmountsOfTransaction" xlink:to="lab_us-gaap_RelatedPartyTransactionAmountsOfTransaction" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyCommittedCapital" xlink:label="loc_us-gaap_InvestmentCompanyCommittedCapital" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyCommittedCapital" xml:lang="en-US">Investment Company, Committed Capital</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentCompanyCommittedCapital" xml:lang="en-US">Investment company, committed capital</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyCommittedCapital" xlink:to="lab_us-gaap_InvestmentCompanyCommittedCapital" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InvestmentsInAffliatedInvesteeFunds" xlink:label="loc_bxinfra_InvestmentsInAffliatedInvesteeFunds" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_InvestmentsInAffliatedInvesteeFunds" xml:lang="en-US">Investments In Affliated Investee Funds</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_InvestmentsInAffliatedInvesteeFunds" xml:lang="en-US">Investments In Affliated Investee Funds</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentsInAffliatedInvesteeFunds" xlink:to="lab_bxinfra_InvestmentsInAffliatedInvesteeFunds" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InvestmentsInAffliatedInvesteeFunds" xml:lang="en-US">Investments In Affliated Investee Funds.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_AggregatorTransactionalNav" xlink:label="loc_bxinfra_AggregatorTransactionalNav" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_AggregatorTransactionalNav" xml:lang="en-US">Aggregator Transactional NAV</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_AggregatorTransactionalNav" xml:lang="en-US">Aggregator Transactional NAV</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AggregatorTransactionalNav" xlink:to="lab_bxinfra_AggregatorTransactionalNav" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_AggregatorTransactionalNav" xml:lang="en-US">Aggregator Transactional NAV.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyManagementFeeVoluntaryFeeWaived" xlink:label="loc_us-gaap_InvestmentCompanyManagementFeeVoluntaryFeeWaived" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyManagementFeeVoluntaryFeeWaived" xml:lang="en-US">Investment Company, Management Fee, Voluntary Fee Waived</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentCompanyManagementFeeVoluntaryFeeWaived" xml:lang="en-US">Investment company, management fee, voluntary fee waived</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyManagementFeeVoluntaryFeeWaived" xlink:to="lab_us-gaap_InvestmentCompanyManagementFeeVoluntaryFeeWaived" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_CashDistributionsReceivedFromInvestmentFunds" xlink:label="loc_bxinfra_CashDistributionsReceivedFromInvestmentFunds" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_CashDistributionsReceivedFromInvestmentFunds" xml:lang="en-US">Cash Distributions Received From Investment Funds</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_CashDistributionsReceivedFromInvestmentFunds" xml:lang="en-US">Cash distributions received from investment funds</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_CashDistributionsReceivedFromInvestmentFunds" xlink:to="lab_bxinfra_CashDistributionsReceivedFromInvestmentFunds" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_CashDistributionsReceivedFromInvestmentFunds" xml:lang="en-US">Cash distributions received from investment funds.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_NameOfInvestmentGroupAxis" xlink:label="loc_bxinfra_NameOfInvestmentGroupAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_NameOfInvestmentGroupAxis" xml:lang="en-US">Name Of Investment Group [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_NameOfInvestmentGroupAxis" xlink:to="lab_bxinfra_NameOfInvestmentGroupAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_NameOfInvestmentGroupAxis" xml:lang="en-US">Name Of investment group.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_NameOfInvestmentGroupDomain" xlink:label="loc_bxinfra_NameOfInvestmentGroupDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_NameOfInvestmentGroupDomain" xml:lang="en-US">Name Of Investment Group [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_NameOfInvestmentGroupDomain" xlink:to="lab_bxinfra_NameOfInvestmentGroupDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_NameOfInvestmentGroupDomain" xml:lang="en-US">Name Of investment group.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_BXINFRAWarehouseMember" xlink:label="loc_bxinfra_BXINFRAWarehouseMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_BXINFRAWarehouseMember" xml:lang="en-US">BXINFRA Warehouse [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_BXINFRAWarehouseMember" xlink:to="lab_bxinfra_BXINFRAWarehouseMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_BXINFRAWarehouseMember" xml:lang="en-US">BXINFRA warehouse .</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_FiveInvestmentsMember" xlink:label="loc_bxinfra_FiveInvestmentsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_FiveInvestmentsMember" xml:lang="en-US">Five investments [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_FiveInvestmentsMember" xlink:to="lab_bxinfra_FiveInvestmentsMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_OneCrosstransactionMember" xlink:label="loc_bxinfra_OneCrosstransactionMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_OneCrosstransactionMember" xml:lang="en-US">One Cross transaction [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_OneCrosstransactionMember" xlink:to="lab_bxinfra_OneCrosstransactionMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_OfferingExpensesMember" xlink:label="loc_bxinfra_OfferingExpensesMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_OfferingExpensesMember" xml:lang="en-US">OfferingExpenses [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_OfferingExpensesMember" xlink:to="lab_bxinfra_OfferingExpensesMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_OfferingExpensesMember" xml:lang="en-US">Offering Expenses.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_OrganizationalExpensesMember" xlink:label="loc_bxinfra_OrganizationalExpensesMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_OrganizationalExpensesMember" xml:lang="en-US">Organizational Expenses [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_OrganizationalExpensesMember" xlink:to="lab_bxinfra_OrganizationalExpensesMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_OrganizationalExpensesMember" xml:lang="en-US">Organizational Expenses.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_OtherBlackstoneFundsMember" xlink:label="loc_bxinfra_OtherBlackstoneFundsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_OtherBlackstoneFundsMember" xml:lang="en-US">Other Blackstone funds [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_OtherBlackstoneFundsMember" xlink:to="lab_bxinfra_OtherBlackstoneFundsMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_OtherBlackstoneFundsMember" xml:lang="en-US">Other blackstone funds</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_OfferingCostsPartnershipInterests" xlink:label="loc_us-gaap_OfferingCostsPartnershipInterests" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_OfferingCostsPartnershipInterests" xml:lang="en-US">Offering Costs, Partnership Interests</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_OfferingCostsPartnershipInterests" xml:lang="en-US">Offering Costs, Partnership Interests</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_OfferingCostsPartnershipInterests" xlink:to="lab_us-gaap_OfferingCostsPartnershipInterests" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_AdvancedExpensesReimbursementAllowedDurationTerm" xlink:label="loc_bxinfra_AdvancedExpensesReimbursementAllowedDurationTerm" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_AdvancedExpensesReimbursementAllowedDurationTerm" xml:lang="en-US">Advanced Expenses Reimbursement Allowed Duration Term</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_AdvancedExpensesReimbursementAllowedDurationTerm" xml:lang="en-US">Advanced Expenses Reimbursement Allowed Duration Term</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_AdvancedExpensesReimbursementAllowedDurationTerm" xlink:to="lab_bxinfra_AdvancedExpensesReimbursementAllowedDurationTerm" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_AdvancedExpensesReimbursementAllowedDurationTerm" xml:lang="en-US">Advanced expenses reimbursement allowed duration term.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredOfferingCosts" xlink:label="loc_us-gaap_DeferredOfferingCosts" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DeferredOfferingCosts" xml:lang="en-US">Deferred Offering Costs</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DeferredOfferingCosts" xml:lang="en-US">Deferred Offering Costs</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredOfferingCosts" xlink:to="lab_us-gaap_DeferredOfferingCosts" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_DeferredExpenseAmortizationPeriod" xlink:label="loc_bxinfra_DeferredExpenseAmortizationPeriod" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_DeferredExpenseAmortizationPeriod" xml:lang="en-US">Deferred Expense Amortization Period</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_DeferredExpenseAmortizationPeriod" xml:lang="en-US">Deferred Expense Amortization Period</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_DeferredExpenseAmortizationPeriod" xlink:to="lab_bxinfra_DeferredExpenseAmortizationPeriod" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_DeferredExpenseAmortizationPeriod" xml:lang="en-US">Deferred expense amortization period.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_OfferingExpenses" xlink:label="loc_bxinfra_OfferingExpenses" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_OfferingExpenses" xml:lang="en-US">Offering Expenses</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_OfferingExpenses" xml:lang="en-US">Offering Expenses</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_OfferingExpenses" xlink:to="lab_bxinfra_OfferingExpenses" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_OfferingExpenses" xml:lang="en-US">Offering expenses.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_UnfundedInvestmentCommitments" xlink:label="loc_bxinfra_UnfundedInvestmentCommitments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_UnfundedInvestmentCommitments" xml:lang="en-US">Unfunded Investment Commitments</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_UnfundedInvestmentCommitments" xml:lang="en-US">Unfunded Investment Commitments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_UnfundedInvestmentCommitments" xlink:to="lab_bxinfra_UnfundedInvestmentCommitments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_UnfundedInvestmentCommitments" xml:lang="en-US">Unfunded nvestment commitments.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ConditionalCommitmentOnInvestments" xlink:label="loc_bxinfra_ConditionalCommitmentOnInvestments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ConditionalCommitmentOnInvestments" xml:lang="en-US">Conditional Commitment On Investments</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_ConditionalCommitmentOnInvestments" xml:lang="en-US">Conditional Commitment On Investments</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ConditionalCommitmentOnInvestments" xlink:to="lab_bxinfra_ConditionalCommitmentOnInvestments" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_ConditionalCommitmentOnInvestments" xml:lang="en-US">Conditional commitment on investments.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate" xml:lang="en-US">Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate, Percent</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate" xml:lang="en-US">Effective income tax rate reconciliation, at federal statutory income tax rate, percent</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate" xml:lang="en-US">Statutory U.S. Federal Income Tax Rate</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate" xlink:to="lab_us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_EffectiveIncomeTaxRateReconciliationAdditionalBranch" xlink:label="loc_bxinfra_EffectiveIncomeTaxRateReconciliationAdditionalBranch" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_EffectiveIncomeTaxRateReconciliationAdditionalBranch" xml:lang="en-US">Effective Income Tax Rate Reconciliation Additional Branch</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_EffectiveIncomeTaxRateReconciliationAdditionalBranch" xml:lang="en-US">Effective income tax rate reconciliation additional branch</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_EffectiveIncomeTaxRateReconciliationAdditionalBranch" xlink:to="lab_bxinfra_EffectiveIncomeTaxRateReconciliationAdditionalBranch" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_EffectiveIncomeTaxRateReconciliationAdditionalBranch" xml:lang="en-US">Effective income tax rate reconciliation additional branch.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsValuationAllowance" xlink:label="loc_us-gaap_DeferredTaxAssetsValuationAllowance" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DeferredTaxAssetsValuationAllowance" xml:lang="en-US">Deferred Tax Assets, Valuation Allowance</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DeferredTaxAssetsValuationAllowance" xml:lang="en-US">Valuation Allowance</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredTaxAssetsValuationAllowance" xlink:to="lab_us-gaap_DeferredTaxAssetsValuationAllowance" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxAssetsOperatingLossCarryforwards" xlink:label="loc_us-gaap_DeferredTaxAssetsOperatingLossCarryforwards" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DeferredTaxAssetsOperatingLossCarryforwards" xml:lang="en-US">Deferred Tax Assets, Operating Loss Carryforwards</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DeferredTaxAssetsOperatingLossCarryforwards" xml:lang="en-US">Federal and State Net Operating Losses</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredTaxAssetsOperatingLossCarryforwards" xlink:to="lab_us-gaap_DeferredTaxAssetsOperatingLossCarryforwards" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EffectiveIncomeTaxRateContinuingOperations" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_EffectiveIncomeTaxRateContinuingOperations" xml:lang="en-US">Effective Income Tax Rate Reconciliation, Percent</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_EffectiveIncomeTaxRateContinuingOperations" xml:lang="en-US">Effective Income Tax Rate Reconciliation, Percent</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_EffectiveIncomeTaxRateContinuingOperations" xml:lang="en-US">Effective Income Tax Rate</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations" xlink:to="lab_us-gaap_EffectiveIncomeTaxRateContinuingOperations" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ScheduleOfAggregatorsNetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxesAbstract" xlink:label="loc_bxinfra_ScheduleOfAggregatorsNetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxesAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ScheduleOfAggregatorsNetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxesAbstract" xml:lang="en-US">Schedule of Aggregators Net Increase in Net Assets Resulting from Operations Before Provision for Taxes [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ScheduleOfAggregatorsNetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxesAbstract" xlink:to="lab_bxinfra_ScheduleOfAggregatorsNetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxesAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_ScheduleOfAggregatorsNetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxesAbstract" xml:lang="en-US">Schedule of Aggregator's Net Increase in Net Assets Resulting from Operations Before Provision for Taxes.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ScheduleOfAggregatorsNetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxesTable" xlink:label="loc_bxinfra_ScheduleOfAggregatorsNetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxesTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ScheduleOfAggregatorsNetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxesTable" xml:lang="en-US">Schedule of Aggregators Net Increase in Net Assets Resulting from Operations Before Provision for Taxes [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ScheduleOfAggregatorsNetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxesTable" xlink:to="lab_bxinfra_ScheduleOfAggregatorsNetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxesTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_ScheduleOfAggregatorsNetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxesTable" xml:lang="en-US">Schedule of Aggregator's Net Increase in Net Assets Resulting from Operations Before Provision for Taxes</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxAuthorityAxis" xlink:label="loc_us-gaap_IncomeTaxAuthorityAxis" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncomeTaxAuthorityAxis" xml:lang="en-US">Income Tax Jurisdiction [Axis]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxAuthorityAxis" xlink:to="lab_us-gaap_IncomeTaxAuthorityAxis" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_IncomeTaxAuthorityDomain" xlink:label="loc_us-gaap_IncomeTaxAuthorityDomain" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_IncomeTaxAuthorityDomain" xml:lang="en-US">Income Tax Jurisdiction [Domain]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_IncomeTaxAuthorityDomain" xlink:to="lab_us-gaap_IncomeTaxAuthorityDomain" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DomesticCountryMember" xlink:label="loc_us-gaap_DomesticCountryMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DomesticCountryMember" xml:lang="en-US">Domestic Tax Jurisdiction [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DomesticCountryMember" xlink:to="lab_us-gaap_DomesticCountryMember" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_ForeignCountryMember" xlink:label="loc_us-gaap_ForeignCountryMember" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_ForeignCountryMember" xml:lang="en-US">Foreign Tax Jurisdiction [Member]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_ForeignCountryMember" xlink:to="lab_us-gaap_ForeignCountryMember" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ScheduleOfAggregatorsNetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxesLineItems" xlink:label="loc_bxinfra_ScheduleOfAggregatorsNetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxesLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ScheduleOfAggregatorsNetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxesLineItems" xml:lang="en-US">Schedule of Aggregators Net Increase in Net Assets Resulting from Operations Before Provision for Taxes [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ScheduleOfAggregatorsNetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxesLineItems" xlink:to="lab_bxinfra_ScheduleOfAggregatorsNetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxesLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_ScheduleOfAggregatorsNetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxesLineItems" xml:lang="en-US">Schedule of Aggregator's Net Increase in Net Assets Resulting from Operations Before Provision for Taxes.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_NetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxes" xlink:label="loc_bxinfra_NetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxes" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_NetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxes" xml:lang="en-US">Net Increase In Net Assets Resulting From Operations Before Provision For Taxes</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_NetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxes" xml:lang="en-US">Net Increase in Net Assets Resulting from Operations Before Provision for Taxes</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_NetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxes" xlink:to="lab_bxinfra_NetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxes" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_NetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxes" xml:lang="en-US">NetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxes.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ScheduleOfAggregatorsProvisionForTaxesAbstract" xlink:label="loc_bxinfra_ScheduleOfAggregatorsProvisionForTaxesAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ScheduleOfAggregatorsProvisionForTaxesAbstract" xml:lang="en-US">Schedule of Aggregators Provision for Taxes [Abstract]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ScheduleOfAggregatorsProvisionForTaxesAbstract" xlink:to="lab_bxinfra_ScheduleOfAggregatorsProvisionForTaxesAbstract" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ScheduleOfAggregatorsProvisionForTaxesTable" xlink:label="loc_bxinfra_ScheduleOfAggregatorsProvisionForTaxesTable" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ScheduleOfAggregatorsProvisionForTaxesTable" xml:lang="en-US">Schedule of Aggregators Provision for Taxes [Table]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ScheduleOfAggregatorsProvisionForTaxesTable" xlink:to="lab_bxinfra_ScheduleOfAggregatorsProvisionForTaxesTable" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_ScheduleOfAggregatorsProvisionForTaxesLineItems" xlink:label="loc_bxinfra_ScheduleOfAggregatorsProvisionForTaxesLineItems" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_ScheduleOfAggregatorsProvisionForTaxesLineItems" xml:lang="en-US">Schedule of Aggregators Provision for Taxes [Line Items]</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ScheduleOfAggregatorsProvisionForTaxesLineItems" xlink:to="lab_bxinfra_ScheduleOfAggregatorsProvisionForTaxesLineItems" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CurrentFederalTaxExpenseBenefit" xlink:label="loc_us-gaap_CurrentFederalTaxExpenseBenefit" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CurrentFederalTaxExpenseBenefit" xml:lang="en-US">Current Federal Tax Expense (Benefit)</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CurrentFederalTaxExpenseBenefit" xml:lang="en-US">Current Federal Income Tax</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CurrentFederalTaxExpenseBenefit" xlink:to="lab_us-gaap_CurrentFederalTaxExpenseBenefit" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CurrentStateAndLocalTaxExpenseBenefit" xlink:label="loc_us-gaap_CurrentStateAndLocalTaxExpenseBenefit" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CurrentStateAndLocalTaxExpenseBenefit" xml:lang="en-US">Current State and Local Tax Expense (Benefit)</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CurrentStateAndLocalTaxExpenseBenefit" xml:lang="en-US">Current State and Local Income Tax</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CurrentStateAndLocalTaxExpenseBenefit" xlink:to="lab_us-gaap_CurrentStateAndLocalTaxExpenseBenefit" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredFederalIncomeTaxExpenseBenefit" xlink:label="loc_us-gaap_DeferredFederalIncomeTaxExpenseBenefit" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DeferredFederalIncomeTaxExpenseBenefit" xml:lang="en-US">Deferred Federal Income Tax Expense (Benefit)</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DeferredFederalIncomeTaxExpenseBenefit" xml:lang="en-US">Deferred Current Income Tax Expense (Benefit)</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredFederalIncomeTaxExpenseBenefit" xlink:to="lab_us-gaap_DeferredFederalIncomeTaxExpenseBenefit" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CurrentIncomeTaxExpenseBenefit" xlink:label="loc_us-gaap_CurrentIncomeTaxExpenseBenefit" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CurrentIncomeTaxExpenseBenefit" xml:lang="en-US">Current Income Tax Expense (Benefit)</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:label="lab_us-gaap_CurrentIncomeTaxExpenseBenefit" xml:lang="en-US">Total Current Provision for Tax</link:label>
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit" xml:lang="en-US">Deferred State and Local Income Tax</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit" xlink:to="lab_us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredIncomeTaxExpenseBenefit" xlink:label="loc_us-gaap_DeferredIncomeTaxExpenseBenefit" />
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          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredIncomeTaxExpenseBenefit" xlink:to="lab_us-gaap_DeferredIncomeTaxExpenseBenefit" />
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          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ScheduleOfTheReconcilesTheAggregatorsEffectiveIncomeTaxRateToTheUsFederalStatutoryTaxRateAbstract" xlink:to="lab_bxinfra_ScheduleOfTheReconcilesTheAggregatorsEffectiveIncomeTaxRateToTheUsFederalStatutoryTaxRateAbstract" />
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          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_ScheduleOfTheReconcilesTheAggregatorsEffectiveIncomeTaxRateToTheUsFederalStatutoryTaxRateTable" xlink:to="lab_bxinfra_ScheduleOfTheReconcilesTheAggregatorsEffectiveIncomeTaxRateToTheUsFederalStatutoryTaxRateTable" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DeferredTaxLiabilitiesNetAbstract" xml:lang="en-US">Deferred Tax Liabilities</link:label>
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          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_DeferredTaxLiabilitiesOther" xlink:label="loc_us-gaap_DeferredTaxLiabilitiesOther" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_DeferredTaxAssetsLiabilitiesNet" xml:lang="en-US">Deferred Tax Assets, Net</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_DeferredTaxAssetsLiabilitiesNet" xml:lang="en-US">Deferred Tax Liabilities, Net</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_DeferredTaxAssetsLiabilitiesNet" xlink:to="lab_us-gaap_DeferredTaxAssetsLiabilitiesNet" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" xlink:label="loc_us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain" xml:lang="en-US">Class of Financing Receivable [Domain]</link:label>
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_WarehousingAgreementMember" xml:lang="en-US">Warehousing Agreement [Member]</link:label>
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_FinancingReceivablePortfolioSegmentAxis" xml:lang="en-US">Financing Receivable Portfolio Segment [Axis]</link:label>
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          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_FincoMember" xlink:label="loc_bxinfra_FincoMember" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_bxinfra_FincoMember" xml:lang="en-US">Finco [Member]</link:label>
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_FincoMember" xml:lang="en-US">Finco.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InvestmentAmountSoldToByAgreement" xlink:label="loc_bxinfra_InvestmentAmountSoldToByAgreement" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_InvestmentAmountSoldToByAgreement" xml:lang="en-US">Investment Amount Sold To By Agreement</link:label>
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InvestmentAmountSoldToByAgreement" xml:lang="en-US">Investment amount sold to by agreement.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InterestRateUntilPaymentForAcquirationOfInvestment" xlink:label="loc_bxinfra_InterestRateUntilPaymentForAcquirationOfInvestment" />
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          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_InterestRateUntilPaymentForAcquirationOfInvestment" xml:lang="en-US">Interest Rate Until Payment For Acquiration of Investment</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InterestRateUntilPaymentForAcquirationOfInvestment" xlink:to="lab_bxinfra_InterestRateUntilPaymentForAcquirationOfInvestment" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InterestRateUntilPaymentForAcquirationOfInvestment" xml:lang="en-US">Interest rate until payment for acquiration of investment.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyExpenseRatioExcludingIncentiveFee" xlink:label="loc_us-gaap_InvestmentCompanyExpenseRatioExcludingIncentiveFee" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyExpenseRatioExcludingIncentiveFee" xml:lang="en-US">Investment Company, Expense Ratio, after Fee Waiver and before Incentive Fee Deduction</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentCompanyExpenseRatioExcludingIncentiveFee" xml:lang="en-US">Investment Company, Expense Ratio, after Fee Waiver and before Incentive Fee Deduction</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyExpenseRatioExcludingIncentiveFee" xlink:to="lab_us-gaap_InvestmentCompanyExpenseRatioExcludingIncentiveFee" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InvestmentEquitySecurities" xlink:label="loc_bxinfra_InvestmentEquitySecurities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_InvestmentEquitySecurities" xml:lang="en-US">Investment Equity Securities</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentEquitySecurities" xlink:to="lab_bxinfra_InvestmentEquitySecurities" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InvestmentEquitySecurities" xml:lang="en-US">Investment Equity Securities.</link:label>
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InvestmentOnRemainingValue" xlink:label="loc_bxinfra_InvestmentOnRemainingValue" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_InvestmentOnRemainingValue" xml:lang="en-US">Investment on Remaining Value</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentOnRemainingValue" xlink:to="lab_bxinfra_InvestmentOnRemainingValue" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InvestmentOnRemainingValue" xml:lang="en-US">Investment on remaining value.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShareAbstract" xlink:label="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShareAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShareAbstract" xml:lang="en-US">Investment Company, Investment Income (Loss) from Operations, Per Share [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShareAbstract" xml:lang="en-US">Per Unit Data</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShareAbstract" xlink:to="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShareAbstract" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyIssuanceOfSharesPerShare" xlink:label="loc_us-gaap_InvestmentCompanyIssuanceOfSharesPerShare" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyIssuanceOfSharesPerShare" xml:lang="en-US">Investment Company, Share Issuance, Per Share</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentCompanyIssuanceOfSharesPerShare" xml:lang="en-US">Proceeds from Units Issued</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyIssuanceOfSharesPerShare" xlink:to="lab_us-gaap_InvestmentCompanyIssuanceOfSharesPerShare" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" xlink:label="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" xml:lang="en-US">Investment Company, Investment Income (Loss), Per Share</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" xml:lang="en-US">Net Investment Income</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" xlink:to="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossPerShare" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare" xlink:label="loc_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare" xml:lang="en-US">Investment Company, Gain (Loss) on Investment, Per Share</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare" xml:lang="en-US">Net Change in Unrealized Gain (Loss) on Investment in the Aggregator</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/definitionGuidance" xlink:label="lab_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare" xml:lang="en-US">Net Realized and Unrealized Gain (Loss) on Investments and Translation of Assets and Liabilities in Foreign Currencies</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare" xlink:to="lab_us-gaap_InvestmentCompanyGainLossOnInvestmentPerShare" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InvestmentCompanyServicingFeesPerShare" xlink:label="loc_bxinfra_InvestmentCompanyServicingFeesPerShare" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_InvestmentCompanyServicingFeesPerShare" xml:lang="en-US">Investment Company Servicing Fees Per Share</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_InvestmentCompanyServicingFeesPerShare" xml:lang="en-US">Servicing Fees</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentCompanyServicingFeesPerShare" xlink:to="lab_bxinfra_InvestmentCompanyServicingFeesPerShare" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InvestmentCompanyServicingFeesPerShare" xml:lang="en-US">Investment company servicing fees per share.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare" xlink:label="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare" xml:lang="en-US">Investment Company, Investment Income (Loss) from Operations, Per Share</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare" xml:lang="en-US">Net Increase in Net Assets</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare" xlink:to="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossFromOperationsPerShare" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommonStockSharesOutstanding" xlink:label="loc_us-gaap_CommonStockSharesOutstanding" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_CommonStockSharesOutstanding" xml:lang="en-US">Common Stock, Shares, Outstanding</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_CommonStockSharesOutstanding" xml:lang="en-US">Units Outstanding, End of Period</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_CommonStockSharesOutstanding" xlink:to="lab_us-gaap_CommonStockSharesOutstanding" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyTotalReturn" xlink:label="loc_us-gaap_InvestmentCompanyTotalReturn" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyTotalReturn" xml:lang="en-US">Investment Company, Total Return</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentCompanyTotalReturn" xml:lang="en-US">Total Return Based on Net Asset Value</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyTotalReturn" xlink:to="lab_us-gaap_InvestmentCompanyTotalReturn" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InvestmentOperations" xlink:label="loc_bxinfra_InvestmentOperations" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_InvestmentOperations" xml:lang="en-US">Investment Operations</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_InvestmentOperations" xml:lang="en-US">Net Increase in Net Assets Resulting from Investment Operations</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentOperations" xlink:to="lab_bxinfra_InvestmentOperations" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InvestmentOperations" xml:lang="en-US">Investment operations.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyDistributionToShareholdersPerShare" xlink:label="loc_us-gaap_InvestmentCompanyDistributionToShareholdersPerShare" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyDistributionToShareholdersPerShare" xml:lang="en-US">Investment Company, Distribution to Shareholders, Per Share</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:label="lab_us-gaap_InvestmentCompanyDistributionToShareholdersPerShare" xml:lang="en-US">Distributions</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyDistributionToShareholdersPerShare" xlink:to="lab_us-gaap_InvestmentCompanyDistributionToShareholdersPerShare" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyFinancialRatiosAbstract" xlink:label="loc_us-gaap_InvestmentCompanyFinancialRatiosAbstract" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyFinancialRatiosAbstract" xml:lang="en-US">Investment Company, Financial Ratios [Abstract]</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentCompanyFinancialRatiosAbstract" xml:lang="en-US">Ratios to Weighted-Average Net Assets (Non-Annualized)</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyFinancialRatiosAbstract" xlink:to="lab_us-gaap_InvestmentCompanyFinancialRatiosAbstract" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InvestmentCompanyExpenseRatioExpensesWithoutWaivers" xlink:label="loc_bxinfra_InvestmentCompanyExpenseRatioExpensesWithoutWaivers" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_InvestmentCompanyExpenseRatioExpensesWithoutWaivers" xml:lang="en-US">Investment Company, Expense Ratio, Expenses Without Waivers</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_InvestmentCompanyExpenseRatioExpensesWithoutWaivers" xml:lang="en-US">Expenses without Waivers</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentCompanyExpenseRatioExpensesWithoutWaivers" xlink:to="lab_bxinfra_InvestmentCompanyExpenseRatioExpensesWithoutWaivers" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InvestmentCompanyExpenseRatioExpensesWithoutWaivers" xml:lang="en-US">Investment company, expense ratio, expenses without waivers.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyExpenseRatioIncludingVoluntaryFeeWaiver" xlink:label="loc_us-gaap_InvestmentCompanyExpenseRatioIncludingVoluntaryFeeWaiver" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyExpenseRatioIncludingVoluntaryFeeWaiver" xml:lang="en-US">Investment Company, Expense Ratio, after Voluntary Fee Waiver Deduction</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:label="lab_us-gaap_InvestmentCompanyExpenseRatioIncludingVoluntaryFeeWaiver" xml:lang="en-US">Warehousing Fees Waivers</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyExpenseRatioIncludingVoluntaryFeeWaiver" xlink:to="lab_us-gaap_InvestmentCompanyExpenseRatioIncludingVoluntaryFeeWaiver" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InvestmentCompanyExpenseRatio" xlink:label="loc_bxinfra_InvestmentCompanyExpenseRatio" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_InvestmentCompanyExpenseRatio" xml:lang="en-US">Investment Company Expense Ratio</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_InvestmentCompanyExpenseRatio" xml:lang="en-US">Total Expenses</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentCompanyExpenseRatio" xlink:to="lab_bxinfra_InvestmentCompanyExpenseRatio" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InvestmentCompanyExpenseRatio" xml:lang="en-US">Investment company expense ratio.</link:label>
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" xlink:label="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" xml:lang="en-US">Investment Company, Investment Income (Loss) Ratio</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:label="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" xml:lang="en-US">Net Investment Income</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" xlink:to="lab_us-gaap_InvestmentCompanyInvestmentIncomeLossRatio" />
          <link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyExpenseRatioAfterIncentiveAllocation" xlink:label="loc_us-gaap_InvestmentCompanyExpenseRatioAfterIncentiveAllocation" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_us-gaap_InvestmentCompanyExpenseRatioAfterIncentiveAllocation" xml:lang="en-US">Investment Company, Expense Ratio after Incentive Allocation</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_us-gaap_InvestmentCompanyExpenseRatioAfterIncentiveAllocation" xml:lang="en-US">Accrued Performance Participation Allocation</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_us-gaap_InvestmentCompanyExpenseRatioAfterIncentiveAllocation" xlink:to="lab_us-gaap_InvestmentCompanyExpenseRatioAfterIncentiveAllocation" />
          <link:loc xlink:type="locator" xlink:href="bxinfra-20251231.xsd#bxinfra_InvestmentCompanyExpenseRatioExpensesAndManagementFeesWaivers" xlink:label="loc_bxinfra_InvestmentCompanyExpenseRatioExpensesAndManagementFeesWaivers" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/label" xlink:label="lab_bxinfra_InvestmentCompanyExpenseRatioExpensesAndManagementFeesWaivers" xml:lang="en-US">Investment Company, Expense Ratio, Expenses and Management Fees Waivers</link:label>
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:label="lab_bxinfra_InvestmentCompanyExpenseRatioExpensesAndManagementFeesWaivers" xml:lang="en-US">Expenses and Management Fees Waivers</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_bxinfra_InvestmentCompanyExpenseRatioExpensesAndManagementFeesWaivers" xlink:to="lab_bxinfra_InvestmentCompanyExpenseRatioExpensesAndManagementFeesWaivers" />
          <link:label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="lab_bxinfra_InvestmentCompanyExpenseRatioExpensesAndManagementFeesWaivers" xml:lang="en-US">Investment company, expense ratio, expenses and management fees waivers.</link:label>
        </link:labelLink>
      </link:linkbase>
    </appinfo>
  </annotation>
  <import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd" />
  <import namespace="http://www.xbrl.org/2003/linkbase" schemaLocation="http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd" />
  <import namespace="http://xbrl.org/2005/xbrldt" schemaLocation="http://www.xbrl.org/2005/xbrldt-2005.xsd" />
  <import namespace="http://fasb.org/us-gaap/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd" />
  <import namespace="http://xbrl.sec.gov/country/2025" schemaLocation="https://xbrl.sec.gov/country/2025/country-2025.xsd" />
  <import namespace="http://xbrl.sec.gov/currency/2025" schemaLocation="https://xbrl.sec.gov/currency/2025/currency-2025.xsd" />
  <import namespace="http://xbrl.sec.gov/exch/2025" schemaLocation="https://xbrl.sec.gov/exch/2025/exch-2025.xsd" />
  <import namespace="http://xbrl.sec.gov/naics/2025" schemaLocation="https://xbrl.sec.gov/naics/2025/naics-2025.xsd" />
  <import namespace="http://xbrl.sec.gov/sic/2025" schemaLocation="https://xbrl.sec.gov/sic/2025/sic-2025.xsd" />
  <import namespace="http://xbrl.sec.gov/stpr/2025" schemaLocation="https://xbrl.sec.gov/stpr/2025/stpr-2025.xsd" />
  <import namespace="http://www.xbrl.org/2009/role/negated" schemaLocation="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd" />
  <import namespace="http://www.xbrl.org/2009/role/net" schemaLocation="http://www.xbrl.org/lrr/role/net-2009-12-16.xsd" />
  <import namespace="http://www.xbrl.org/2009/arcrole/fact-explanatoryFact" schemaLocation="http://www.xbrl.org/lrr/arcrole/factExplanatory-2009-12-16.xsd" />
  <import namespace="http://xbrl.sec.gov/dei/2025" schemaLocation="https://xbrl.sec.gov/dei/2025/dei-2025.xsd" />
  <import namespace="http://fasb.org/us-types/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-types-2025.xsd" />
  <import namespace="http://fasb.org/srt-types/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-types-2025.xsd" />
  <import namespace="http://fasb.org/srt/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd" />
  <import namespace="http://xbrl.sec.gov/ecd-sub/2025" schemaLocation="https://xbrl.sec.gov/ecd/2025/ecd-sub-2025.xsd" />
  <import namespace="http://xbrl.sec.gov/ecd/2025" schemaLocation="https://xbrl.sec.gov/ecd/2025/ecd-2025.xsd" />
  <import namespace="http://www.xbrl.org/2006/ref" schemaLocation="http://www.xbrl.org/2006/ref-2006-02-27.xsd" />
  <import namespace="http://fasb.org/srt-roles/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-roles-2025.xsd" />
  <import namespace="http://www.xbrl.org/dtr/type/2024-01-31" schemaLocation="https://www.xbrl.org/dtr/type/2024-01-31/types.xsd" />
  <import namespace="http://xbrl.sec.gov/cyd-af-sub/2025" schemaLocation="https://xbrl.sec.gov/cyd/2025/cyd-af-sub-2025.xsd" />
  <element name="ClasssLimitedPartnershipUnitsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_ClasssLimitedPartnershipUnitsMember" substitutionGroup="xbrli:item" />
  <element name="ClassDLimitedPartnershipUnitsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_ClassDLimitedPartnershipUnitsMember" substitutionGroup="xbrli:item" />
  <element name="ClassILimitedPartnershipUnitsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_ClassILimitedPartnershipUnitsMember" substitutionGroup="xbrli:item" />
  <element name="ClassSUnitsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_ClassSUnitsMember" substitutionGroup="xbrli:item" />
  <element name="ClassDUnitsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_ClassDUnitsMember" substitutionGroup="xbrli:item" />
  <element name="ClassIUnitsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_ClassIUnitsMember" substitutionGroup="xbrli:item" />
  <element name="DueFromAffiliate" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxinfra_DueFromAffiliate" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="InterestAndDividendReceivableAndOtherAssets" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxinfra_InterestAndDividendReceivableAndOtherAssets" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="RedemptionsReceivable" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxinfra_RedemptionsReceivable" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="ServicingFeesPayable" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxinfra_ServicingFeesPayable" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="OrganizationCostsPayable" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxinfra_OrganizationCostsPayable" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="AdministrationFeesPayable" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxinfra_AdministrationFeesPayable" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="OfferingCostsPayable" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxinfra_OfferingCostsPayable" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="RedemptionsPayable" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxinfra_RedemptionsPayable" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="RepurchaseAgreements" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxinfra_RepurchaseAgreements" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="BXINFRAAggregatorCYMLPMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_BXINFRAAggregatorCYMLPMember" substitutionGroup="xbrli:item" />
  <element name="DerivativeAssetsAtCost" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxinfra_DerivativeAssetsAtCost" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="DerivativeLiabilitiesAtCost" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxinfra_DerivativeLiabilitiesAtCost" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="WarehousingFees" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_WarehousingFees" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="WarehousingFeesWaived" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_WarehousingFeesWaived" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="OrganizationalExpenses" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_OrganizationalExpenses" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="DeferredOfferingCostsAmortization" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_DeferredOfferingCostsAmortization" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="ExpenseSupport" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_ExpenseSupport" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="DeferredFinancingCostAmortization" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_DeferredFinancingCostAmortization" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="GeneralPartnerInterestMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_GeneralPartnerInterestMember" substitutionGroup="xbrli:item" />
  <element name="ClassAUnitsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_ClassAUnitsMember" substitutionGroup="xbrli:item" />
  <element name="ClassBUnitsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_ClassBUnitsMember" substitutionGroup="xbrli:item" />
  <element name="ServicingFees" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_ServicingFees" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_IncreaseDecreaseInUnrealizedGainLossOnDerivativeInstruments" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_RepurchaseOfUnitsNetOfEarlyRepurchaseDeduction" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="DistributionsOfUnits" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_DistributionsOfUnits" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="DistributionsReinvested" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_DistributionsReinvested" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="InvestmentInBxinfraAggregator" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_InvestmentInBxinfraAggregator" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="AmortizationOfDebtInvestmentsLiquid" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_AmortizationOfDebtInvestmentsLiquid" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="AccretionOfDebtInvestmentsInfrastructure" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_AccretionOfDebtInvestmentsInfrastructure" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="IncreaseDecreaseInOrganizationCostsPayable" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_IncreaseDecreaseInOrganizationCostsPayable" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="IncreaseDecreaseInAccruedPerformanceParticipationAllocation" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_IncreaseDecreaseInAccruedPerformanceParticipationAllocation" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="IncreaseDecreaseInOfferingCostsPayable" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_IncreaseDecreaseInOfferingCostsPayable" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="PaymentForServicingFees" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_PaymentForServicingFees" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="ProceedsFromDistributionReinvested" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_ProceedsFromDistributionReinvested" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="ProceedsFromRepurchaseAgreements" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_ProceedsFromRepurchaseAgreements" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="RepaymentOfRepurchaseAgreements" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_RepaymentOfRepurchaseAgreements" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="DistributionsPaidInCash" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_DistributionsPaidInCash" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="PaymentsForRedemptions" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_PaymentsForRedemptions" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="RedemptionOfUnitsNetOfEarlyRedemptionDeduction" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_RedemptionOfUnitsNetOfEarlyRedemptionDeduction" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="AccruedServicingFees" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_AccruedServicingFees" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="RedemptionsOfUnits" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_RedemptionsOfUnits" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="NonCashOrPartNonCashDistributionsPayable" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_NonCashOrPartNonCashDistributionsPayable" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="DistributionsreinvestedOfNonCashFinancingActivities" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_DistributionsreinvestedOfNonCashFinancingActivities" substitutionGroup="xbrli:item" xbrli:balance="debit" />
  <element name="OdysseyHoldcoLlcAndOdysseyHoldcoIiLlcMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_OdysseyHoldcoLlcAndOdysseyHoldcoIiLlcMember" substitutionGroup="xbrli:item" />
  <element name="EnergyMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_EnergyMember" substitutionGroup="xbrli:item" />
  <element name="TransportationMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_TransportationMember" substitutionGroup="xbrli:item" />
  <element name="DigitalMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_DigitalMember" substitutionGroup="xbrli:item" />
  <element name="EucalyptusIHoldcoCymLpMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_EucalyptusIHoldcoCymLpMember" substitutionGroup="xbrli:item" />
  <element name="MercuryCoInvestLpMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_MercuryCoInvestLpMember" substitutionGroup="xbrli:item" />
  <element name="PoseidonHoldcoILpMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_PoseidonHoldcoILpMember" substitutionGroup="xbrli:item" />
  <element name="InsiderTradingPoliciesAndProceduresAbstract" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_InsiderTradingPoliciesAndProceduresAbstract" substitutionGroup="xbrli:item" />
  <element name="InsiderTradingArrangementsAbstract" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_InsiderTradingArrangementsAbstract" substitutionGroup="xbrli:item" />
  <element name="SeanKlimczakMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_SeanKlimczakMember" substitutionGroup="xbrli:item" />
  <element name="GregoryBlankMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_GregoryBlankMember" substitutionGroup="xbrli:item" />
  <element name="PaulSchlaackMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_PaulSchlaackMember" substitutionGroup="xbrli:item" />
  <element name="ChristopherStrianoMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_ChristopherStrianoMember" substitutionGroup="xbrli:item" />
  <element name="KateOneiMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_KateOneiMember" substitutionGroup="xbrli:item" />
  <element name="MatthewRunkleMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_MatthewRunkleMember" substitutionGroup="xbrli:item" />
  <element name="JoanSolotarMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_JoanSolotarMember" substitutionGroup="xbrli:item" />
  <element name="GraceVandecruzeMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_GraceVandecruzeMember" substitutionGroup="xbrli:item" />
  <element name="JohnDHersheyMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_JohnDHersheyMember" substitutionGroup="xbrli:item" />
  <element name="SusanRothKatzkeMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_SusanRothKatzkeMember" substitutionGroup="xbrli:item" />
  <element name="AndreJFernandezMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_AndreJFernandezMember" substitutionGroup="xbrli:item" />
  <element name="OwenJSullivanMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_OwenJSullivanMember" substitutionGroup="xbrli:item" />
  <element name="LimitedLiabilityCompanyOrLimitedPartnershipBusinessOrganizationAndOperationsTextBlock" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_LimitedLiabilityCompanyOrLimitedPartnershipBusinessOrganizationAndOperationsTextBlock" substitutionGroup="xbrli:item" />
  <element name="AccountingPoliciesTable" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_AccountingPoliciesTable" substitutionGroup="xbrldt:hypercubeItem" />
  <element name="AccountingPoliciesLineItems" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_AccountingPoliciesLineItems" substitutionGroup="xbrli:item" />
  <element name="InvestmentInTheAggregatorAbstract" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_InvestmentInTheAggregatorAbstract" substitutionGroup="xbrli:item" />
  <element name="InvestmentInTheAggregatorTextBlock" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_InvestmentInTheAggregatorTextBlock" substitutionGroup="xbrli:item" />
  <element name="LineOfCreditDisclosureTextBlock" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_LineOfCreditDisclosureTextBlock" substitutionGroup="xbrli:item" />
  <element name="BXINFRABxinfraAggregatorCymLpMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_BXINFRABxinfraAggregatorCymLpMember" substitutionGroup="xbrli:item" />
  <element name="NetAssetsAbstract" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_NetAssetsAbstract" substitutionGroup="xbrli:item" />
  <element name="NetAssetsTable" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_NetAssetsTable" substitutionGroup="xbrldt:hypercubeItem" />
  <element name="NetAssetsLineItems" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_NetAssetsLineItems" substitutionGroup="xbrli:item" />
  <element name="NetAssetsTextBlock" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_NetAssetsTextBlock" substitutionGroup="xbrli:item" />
  <element name="RepurchaseAgreementsTable" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_RepurchaseAgreementsTable" substitutionGroup="xbrldt:hypercubeItem" />
  <element name="RepurchaseAgreementsLineItems" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_RepurchaseAgreementsLineItems" substitutionGroup="xbrli:item" />
  <element name="RepurchaseAgreementsTextBlock" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_RepurchaseAgreementsTextBlock" substitutionGroup="xbrli:item" />
  <element name="BXPEUSAggregatorCYMLPMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_BXPEUSAggregatorCYMLPMember" substitutionGroup="xbrli:item" />
  <element name="CommitmentsAndContingenciesDisclosureTable" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_CommitmentsAndContingenciesDisclosureTable" substitutionGroup="xbrldt:hypercubeItem" />
  <element name="CommitmentsAndContingenciesDisclosureLineItems" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_CommitmentsAndContingenciesDisclosureLineItems" substitutionGroup="xbrli:item" />
  <element name="WarehousingAgreementAbstract" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_WarehousingAgreementAbstract" substitutionGroup="xbrli:item" />
  <element name="WarehousingAgreementTable" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_WarehousingAgreementTable" substitutionGroup="xbrldt:hypercubeItem" />
  <element name="WarehousingAgreementLineItems" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_WarehousingAgreementLineItems" substitutionGroup="xbrli:item" />
  <element name="WarehousingAgreementTextBlock" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_WarehousingAgreementTextBlock" substitutionGroup="xbrli:item" />
  <element name="OrganizationalAndOfferingExpensesPoliciesTextBlock" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_OrganizationalAndOfferingExpensesPoliciesTextBlock" substitutionGroup="xbrli:item" />
  <element name="AffiliatesPolicyPolicyTextBlock" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_AffiliatesPolicyPolicyTextBlock" substitutionGroup="xbrli:item" />
  <element name="DistributionPolicyTextBlock" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_DistributionPolicyTextBlock" substitutionGroup="xbrli:item" />
  <element name="InvestmentsatFairValueandInvestmentsinAffiliatedorUnaffiliatedInvesteeFunds" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_InvestmentsatFairValueandInvestmentsinAffiliatedorUnaffiliatedInvesteeFunds" substitutionGroup="xbrli:item" />
  <element name="DerivativeInstruments" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_DerivativeInstruments" substitutionGroup="xbrli:item" />
  <element name="PerformanceParticipationAllocationAdministrationFeeandManagementFeePayables" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_PerformanceParticipationAllocationAdministrationFeeandManagementFeePayables" substitutionGroup="xbrli:item" />
  <element name="NetRealizedandUnrealizedGainLossonInvestments" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_NetRealizedandUnrealizedGainLossonInvestments" substitutionGroup="xbrli:item" />
  <element name="IncomeRecognition" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_IncomeRecognition" substitutionGroup="xbrli:item" />
  <element name="ExpenseSupportPolicy" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_ExpenseSupportPolicy" substitutionGroup="xbrli:item" />
  <element name="ManagementFeesOffsetAndWaivedPolicyTextBlock" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_ManagementFeesOffsetAndWaivedPolicyTextBlock" substitutionGroup="xbrli:item" />
  <element name="InvestmentsInAffiliatedOrUnaffiliatedInvesteeFunds" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_InvestmentsInAffiliatedOrUnaffiliatedInvesteeFunds" substitutionGroup="xbrli:item" />
  <element name="DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTableTextBlock" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_DisclosureInTabularFormOfFairValueOfInvestmentsInAffiliatesAndUnfundedCommitmentTableTextBlock" substitutionGroup="xbrli:item" />
  <element name="EquityMethodInvestmentSummarizedFinancialInformationTableTextBlock" type="dtr-types:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_EquityMethodInvestmentSummarizedFinancialInformationTableTextBlock" substitutionGroup="xbrli:item" />
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  <element name="ReportedSecuritiesPledgedAsCollateralAtFairvalue" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxinfra_ReportedSecuritiesPledgedAsCollateralAtFairvalue" substitutionGroup="xbrli:item" xbrli:balance="debit" />
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  <element name="DecemberThirtyOneTwoThousandTwentyFiveMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_DecemberThirtyOneTwoThousandTwentyFiveMember" substitutionGroup="xbrli:item" />
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  <element name="DebtInstrumentLoanToValueRatioApplicableLimit" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxinfra_DebtInstrumentLoanToValueRatioApplicableLimit" substitutionGroup="xbrli:item" />
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  <element name="DebtInstrumentDefaultRateIncreasePercentage" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxinfra_DebtInstrumentDefaultRateIncreasePercentage" substitutionGroup="xbrli:item" />
  <element name="BrentwoodCreditFacilityMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_BrentwoodCreditFacilityMember" substitutionGroup="xbrli:item" />
  <element name="JutlandCreditFacilityMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_JutlandCreditFacilityMember" substitutionGroup="xbrli:item" />
  <element name="AggregatorCreditAgreementMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_AggregatorCreditAgreementMember" substitutionGroup="xbrli:item" />
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  <element name="PercentageOfPerformanceParticipationAllocationOfPartnersToTotalReturn" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_PercentageOfPerformanceParticipationAllocationOfPartnersToTotalReturn" substitutionGroup="xbrli:item" />
  <element name="PercentageOfAnnualHurdleAmount" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_PercentageOfAnnualHurdleAmount" substitutionGroup="xbrli:item" />
  <element name="PercentageOfHighWaterMarkCatchUp" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_PercentageOfHighWaterMarkCatchUp" substitutionGroup="xbrli:item" />
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  <element name="CashDistributionsReceivedFromInvestmentFunds" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_CashDistributionsReceivedFromInvestmentFunds" substitutionGroup="xbrli:item" xbrli:balance="credit" />
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  <element name="FiveInvestmentsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_FiveInvestmentsMember" substitutionGroup="xbrli:item" />
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  <element name="OfferingExpenses" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_OfferingExpenses" substitutionGroup="xbrli:item" xbrli:balance="debit" />
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  <element name="ConditionalCommitmentOnInvestments" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="bxinfra_ConditionalCommitmentOnInvestments" substitutionGroup="xbrli:item" xbrli:balance="credit" />
  <element name="EffectiveIncomeTaxRateReconciliationAdditionalBranch" type="dtr-types:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_EffectiveIncomeTaxRateReconciliationAdditionalBranch" substitutionGroup="xbrli:item" />
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  <element name="ScheduleOfAggregatorsNetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxesTable" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_ScheduleOfAggregatorsNetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxesTable" substitutionGroup="xbrldt:hypercubeItem" />
  <element name="ScheduleOfAggregatorsNetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxesLineItems" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bxinfra_ScheduleOfAggregatorsNetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxesLineItems" substitutionGroup="xbrli:item" />
  <element name="NetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxes" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="bxinfra_NetIncreaseInNetAssetsResultingFromOperationsBeforeProvisionForTaxes" substitutionGroup="xbrli:item" xbrli:balance="debit" />
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