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  <xsd:element name="ForFiscalQuarterEndedDecember312025AndEachFiscalQuarterEndingThereafterMember" id="bcg_ForFiscalQuarterEndedDecember312025AndEachFiscalQuarterEndingThereafterMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="DebtCovenantFixedChargeCoverageRatio" id="bcg_DebtCovenantFixedChargeCoverageRatio" type="xbrli:pureItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="DebtCovenantSeniorNetLeverageRatio" id="bcg_DebtCovenantSeniorNetLeverageRatio" type="xbrli:pureItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="DebtCovenantAnnualRevenueReceivedFromCustodians" id="bcg_DebtCovenantAnnualRevenueReceivedFromCustodians" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="TemporaryEquityStockIssuedDuringPeriodSharesNewIssuesInPipeFinancing" id="bcg_TemporaryEquityStockIssuedDuringPeriodSharesNewIssuesInPipeFinancing" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="TemporaryEquityStockIssuedDuringPeriodValueNewIssuesInPipeFinancing" id="bcg_TemporaryEquityStockIssuedDuringPeriodValueNewIssuesInPipeFinancing" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="MergerAndRecapitalizationAbstract" id="bcg_MergerAndRecapitalizationAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="MergerAndRecapitalizationTextBlock" id="bcg_MergerAndRecapitalizationTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="PaymentsOfOrdinaryDividendsConvertiblePreferredStock" id="bcg_PaymentsOfOrdinaryDividendsConvertiblePreferredStock" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="AmountOfObligationReverseMergerAndRecapitalizationNonCashFinancingTransaction" id="bcg_AmountOfObligationReverseMergerAndRecapitalizationNonCashFinancingTransaction" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="TemporaryEquityPercentageOfDividendPayableInCash" id="bcg_TemporaryEquityPercentageOfDividendPayableInCash" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ForFiscalQuarterEndedJune302025AndEachFiscalQuarterThroughAndIncludingSeptember302025Member" id="bcg_ForFiscalQuarterEndedJune302025AndEachFiscalQuarterThroughAndIncludingSeptember302025Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="NotesPayablePromissoryNotesAffiliates" id="bcg_NotesPayablePromissoryNotesAffiliates" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="StockOptionsAndRestrictedStockUnitsMember" id="bcg_StockOptionsAndRestrictedStockUnitsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="DerivativeAdditionalInterestRate" id="bcg_DerivativeAdditionalInterestRate" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="EquityIncentivePlan2024Member" id="bcg_EquityIncentivePlan2024Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="SharesIssuableUnderPlanAnnualIncreasePercentage" id="bcg_SharesIssuableUnderPlanAnnualIncreasePercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableAndExpectedToVestExercisableNumber" id="bcg_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableAndExpectedToVestExercisableNumber" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsExpectedToVest" id="bcg_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsExpectedToVest" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsExpectedToVestWeightedAverageGrantDateFairValue" id="bcg_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsExpectedToVestWeightedAverageGrantDateFairValue" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
</xsd:schema>
