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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockCapitalSharesReservedForFutureIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shares remain available for issuance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt Obligations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Expense, Operating and Nonoperating</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Interest expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Interest and related expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrecognized compensation expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Share-based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TaxableREITSubsidiaryPrincipalRecoveriesIncludedConsolidatedStatementOfOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Taxable REIT subsidiary principal recoveries included consolidated statement of operations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TaxableREITSubsidiaryPrincipalRecoveriesIncludedConsolidatedStatementOfOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Taxable REIT Subsidiary Principal Recoveries Included Consolidated Statement Of Operations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TaxableREITSubsidiaryPrincipalRecoveriesIncludedConsolidatedStatementOfOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Taxable reit subsidiary principal recoveries included consolidated statement of operations.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_O2025Q3DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">O 2025 Q3 Dividends [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_O2025Q3DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">O 2025 Q3 Dividends.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NotePayableCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Note Payable Carrying Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NotePayableCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Carrying Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NotePayableCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Note payable carrying value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableSoldChargeOff_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Sold Charge Off</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableSoldChargeOff_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable sold charge off.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableSoldChargeOff_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principal Charge-Off</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableSoldChargeOff_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Principal Charge-Off</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PrincipalChargeOffsReducedOurSpecificCeclReserves_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Principal Charge Offs Reduced Our Specific Cecl Reserves</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PrincipalChargeOffsReducedOurSpecificCeclReserves_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Principal charge offs reduced our specific cecl reserves.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PrincipalChargeOffsReducedOurSpecificCeclReserves_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principal charge offs reduced our specific CECL reserves</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansHeldForSaleFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan, Held-for-Sale, Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansHeldForSaleFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans receivable held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfTermParticipationTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Term Participation Facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfTermParticipationTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Term Participation [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfTermParticipationTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of term participation.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Maturity, Year Three</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2028</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentBasisSpreadOnVariableRate1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">One month LIBOR/ SOFR rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentBasisSpreadOnVariableRate1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">LIBOR floor</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentBasisSpreadOnVariableRate1_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Debt instrument basis spread on variable rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyFourMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Multifamily Four [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyFourMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Multifamily four.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyFourMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Multifamily</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingencies_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commitments and Contingencies - Note 14</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingencies_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and Contingencies</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Weighted Average Number of Shares Outstanding, Diluted, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Outstanding, Diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average shares of common stock outstanding - diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentMaturityDateRangeStart1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Maturity Date Range, Start</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentMaturityDateRangeStart1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Initial Maturity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MinimumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Minimum [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MinimumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Minimum</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MinimumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Minimum</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SummaryOfLoansReceivableHeldForInvestmentWithSpecificCECLReservesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Loans Receivable Held-for-investment With Specific CECL Reserves</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SummaryOfLoansReceivableHeldForInvestmentWithSpecificCECLReservesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Summary Of Loans Receivable Held-for-investment With Specific C E C L Reserves Table [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SummaryOfLoansReceivableHeldForInvestmentWithSpecificCECLReservesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Summary of loans receivable held-for-investment with specific CECL reserves.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AssignmentOfLoanReceivableToLender_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assignment Of Loan Receivable To Lender</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AssignmentOfLoanReceivableToLender_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Assignment of loan receivable to lender.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AssignmentOfLoanReceivableToLender_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Assignment of loan receivable to lender</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Maturity, Year Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2027</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OtherGeographicalMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Other geographical member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OtherGeographicalMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Geographical [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OtherGeographicalMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUseRetailMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mixed use, retail.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUseRetailMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mixed Use, Retail [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUseRetailMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mixed-Use, Retail</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestExpenseExcludesInterestExpenseFromRealEstateOwnedDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest expense excludes interest expense from real estate owned debt.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestExpenseExcludesInterestExpenseFromRealEstateOwnedDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Expense Excludes Interest Expense From Real Estate Owned Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestExpenseExcludesInterestExpenseFromRealEstateOwnedDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Less: interest and related expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestExpenseExcludesInterestExpenseFromRealEstateOwnedDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Interest and related expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestExpenseExcludesInterestExpenseFromRealEstateOwnedDebt_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Interest and related expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ForbearanceAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Forbearance Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ForbearanceAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Forbearance agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ForbearanceAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Forbearance Agreement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateAndAccumulatedDepreciationLifeUsedForDepreciation1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">SEC Schedule, 12-28, Real Estate Companies, Investment in Real Estate and Accumulated Depreciation, Useful Life</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateAndAccumulatedDepreciationLifeUsedForDepreciation1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real estate owned, depreciation estimated useful lives</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment, Name [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ManagementFeeDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Management Fee, Description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ManagementFeeDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Management fee, description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TransferOfLoansReceivableHeldForSaleFromPortfolioLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Transfer Of Loans Receivable Held For Sale From Portfolio Loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TransferOfLoansReceivableHeldForSaleFromPortfolioLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Transfer of loans receivable held for sale from portfolio loans.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TransferOfLoansReceivableHeldForSaleFromPortfolioLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Transfer to loans receivable held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares, Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock, shares issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Common Stock, Shares, Issued, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingInformationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Segment Reporting Information [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingInformationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ServicerProceedsUponDiscountedLoanPayoff_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Servicer Proceeds Upon Discounted Loan Payoff</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ServicerProceedsUponDiscountedLoanPayoff_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Servicer proceeds upon discounted loan payoff.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ServicerProceedsUponDiscountedLoanPayoff_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Servicer proceeds upon discounted loan payoff</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RecourseStatusAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Recourse Status [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentVariableInterestRateTypeExtensibleEnumeration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment, Variable Interest Rate, Type [Extensible Enumeration]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OfficeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Office.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OfficeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Office</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CashLiquidityAmountToBeMaintained_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Liquidity Amount to be Maintained</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CashLiquidityAmountToBeMaintained_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash liquidity amount to be maintained</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CashLiquidityAmountToBeMaintained_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Cash liquidity amount to be maintained.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedInFiscalYearBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Originated In Fiscal Year Before Latest Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedInFiscalYearBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan Receivable Originated In Fiscal Year Before Latest Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedInFiscalYearBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Year 2</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RatioOfEarningsBeforeInterestTaxesDepreciationAndAmortizationToInterestCharges_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest Coverage Ratio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RatioOfEarningsBeforeInterestTaxesDepreciationAndAmortizationToInterestCharges_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Ratio of Earnings Before Interest, Taxes, Depreciation and Amortization to Interest Charges</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RatioOfEarningsBeforeInterestTaxesDepreciationAndAmortizationToInterestCharges_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Ratio of earnings before interest, taxes, depreciation and amortization to interest charges.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RatioOfEarningsBeforeInterestTaxesDepreciationAndAmortizationToInterestCharges_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Ratio of earnings before interest, taxes, depreciation and amortization to interest charges</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentPeriodicPaymentPrincipal_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Periodic Payment, Principal</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentPeriodicPaymentPrincipal_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principal payments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RepurchaseAgreementCounterpartyNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Counterparty Name [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RepurchaseAgreementCounterpartyNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Counterparty Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansNotesTradeAndOtherReceivablesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans, Notes, Trade and Other Receivables Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansNotesTradeAndOtherReceivablesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan Portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repayment of loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayments of Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Principal repayment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transaction [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related Party Transaction [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_OtherPropertyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Property [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_OtherPropertyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockUnitsRSUMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted Average RSUs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockUnitsRSUMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">RSUs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockUnitsRSUMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Stock Units (RSUs) [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_GeneralAndAdministrativeExpensesNetOfReversalAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">General and Administrative Expenses Net of Reversal Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_GeneralAndAdministrativeExpensesNetOfReversalAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">General and administrative expenses net of reversal amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_GeneralAndAdministrativeExpensesNetOfReversalAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">General and administrative expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PrincipalAndExitFeeCharge-Offs_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Principal and Exit Fee Charge-offs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PrincipalAndExitFeeCharge-Offs_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">principal and exit fee charge-offs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PrincipalAndExitFeeCharge-Offs_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principal and exit fee charge-offs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansAndLeaseReceivableGeneralCeclReserve_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">General CECL reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansAndLeaseReceivableGeneralCeclReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans and Lease Receivable General CECL Reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansAndLeaseReceivableGeneralCeclReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans and lease receivable general CECL reserve.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_UnfundedLoanCommitmentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Unfunded Loan Commitments.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_UnfundedLoanCommitmentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unfunded Loan Commitments [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_UnfundedLoanCommitmentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unfunded Loan Commitments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivablePercentNonAccrual_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financing receivable, percent past due</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivablePercentNonAccrual_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Percent Non Accrual</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivablePercentNonAccrual_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable percent non accrual.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RepurchaseAgreementsAndTermParticipationFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repurchase Agreements and Term Participation Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RepurchaseAgreementsAndTermParticipationFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Repurchase agreements and term participation facility.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RepurchaseAgreementsAndTermParticipationFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repurchase Agreements and Term Participation Facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyPropertiesFixedRentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Multifamily Properties Fixed Rents [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyPropertiesFixedRentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Multifamily properties fixed rents member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyPropertiesFixedRentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Multifamily Properties Fixed Rents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right, Number of Securities Called by Warrants or Rights</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Warrants issued to purchase common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred tax liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Liabilities, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Deferred Tax Liabilities, Net, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OneMonthSofrMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">One month SOFR.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OneMonthSofrMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">One Month SOFR [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OneMonthSofrMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">One Month SOFR</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Intangible Asset, Finite-Lived, Class [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestRecognitionMethod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest Recognition Method</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestRecognitionMethod_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest recognition method.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestRecognitionMethod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Recognition Method</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CMTGTTMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">CMTG/TT</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CMTGTTMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">C M T G T T [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CMTGTTMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">CMTG/TT.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NumberOfRiskRatedLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of risk rated loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NumberOfRiskRatedLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Risk Rated Loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NumberOfRiskRatedLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of risk rated loans.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanParticipationsSoldLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Line items represent financial concepts of loan participations sold included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanParticipationsSoldLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Participations Sold [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanParticipationsSoldLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan Participations Sold [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_O2026Q2DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">O 2026 Q2 Dividends [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_O2026Q2DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">O 2026 Q2 Dividends.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_IncreaseInLoansReceivableCeclReservesOnAccruedInterestReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase In Loans Receivable Cecl Reserves On Accrued Interest Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_IncreaseInLoansReceivableCeclReservesOnAccruedInterestReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Increase In Loans Receivable CECL Reserves On Accrued Interest Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_IncreaseInLoansReceivableCeclReservesOnAccruedInterestReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Increase in loans receivable CECL reserves on accrued interest receivable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event Type [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableWriteOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable write offs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableWriteOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Write Offs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableWriteOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principal charge-off</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableWriteOffs_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Principal charge-offs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableWriteOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Principal Charge-off</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsNotesLoansAndFinancingReceivableByReceivableTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Receivable Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsNotesLoansAndFinancingReceivableByReceivableTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Receivable Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedThreeYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Originated Three Years Before Latest Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedThreeYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable originated three years before latest fiscal year.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedThreeYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Year 4</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoansReceivableAllowanceForCreditLossesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Loans Receivable Allowance For Credit Losses [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoansReceivableAllowanceForCreditLossesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of loans receivable allowance for credit losses.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DividendsOnParticipatingSecurities_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Dividends on participating securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DividendsOnParticipatingSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends on Participating Securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DividendsOnParticipatingSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Dividends on participating securities.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AccruedInterestReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued Interest Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AccruedInterestReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Interest Receivable [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AccruedInterestReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accrued interest receivable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedTwoYearsWriteOffsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Charge-offs, Year 3</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedTwoYearsWriteOffsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Originated Two Years Write Offs Before Latest Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedTwoYearsWriteOffsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable originated two years write offs before latest fiscal year.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NonCashAdvancesInLieuOfInterest1_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Non-cash advances in lieu of interest.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NonCashAdvancesInLieuOfInterest1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Non Cash Advances In Lieu Of Interest1</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NonCashAdvancesInLieuOfInterest1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-cash advances in lieu of interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SpecificCeclReservesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Specific CECL Reserves</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SpecificCeclReservesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Specific CECL Reserves [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SpecificCeclReservesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Specific cecl reserves.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SpecificCurrentExpectedCreditLossAllowanceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Specific current expected credit loss allowance.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SpecificCurrentExpectedCreditLossAllowanceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Specific Current Expected Credit Loss Allowance [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SpecificCurrentExpectedCreditLossAllowanceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Specific CECL Allowance [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DoubtfulMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Doubtful [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DoubtfulMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Risk Rating 4</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DepreciationExpenseAccumulatedDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Depreciation Expense, Accumulated Depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DepreciationExpenseAccumulatedDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Depreciation expense, accumulated depreciation.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DepreciationExpenseAccumulatedDepreciation_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Depreciation expense, Accumulated Depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentDescriptionOfStatedRateBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stated Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentDescriptionOfStatedRateBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt Instrument Description of Stated Rate Basis.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentDescriptionOfStatedRateBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Description Of Stated Rate Basis</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentDescriptionOfStatedRateBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Weighted Average Stated Rate, description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Long-Term Debt Instruments [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt Instrument [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ReceivablesFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Receivables, Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ReceivablesFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans receivable held-for-investment, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ReceivablesFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Receivables, Fair Value Disclosure, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedFiveYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable originated five years before latest fiscal year.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedFiveYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Originated Five Years Before Latest Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedFiveYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Year 6</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressesAddressTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Addresses, Address Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">General and Administrative Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">General and administrative expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">General and administrative expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">General and Administrative Expense, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">General and administrative expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CollateralCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collateral Carrying Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CollateralCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Carrying Value of Collateral</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CollateralCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Collateral carrying value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateInvestmentFinancialStatementsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Investment Financial Statements, Disclosure [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateInvestmentFinancialStatementsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of additional detail related to the company's real estate owned Hotel portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeStatementAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Statement [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeLiabilityNotionalAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Derivative liability notional amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeLiabilityNotionalAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Liability, Notional Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeAverageCapInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative, Average Cap Interest Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeAverageCapInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Strike rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUseOfficeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mixed use office.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUseOfficeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mixed Use, Office [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUseOfficeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mixed-Use, Office</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AccruedInterestReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued interest receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AccruedInterestReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Interest Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AccruedInterestReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accrued interest receivable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoansReceivableTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Loans Receivable [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoansReceivableTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of loans receivable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Forfeited in Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Shares forfeitures</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Number of Restricted Share Units, Forfeited</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NewSecuredTermLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">New Secured Term Loan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NewSecuredTermLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">New secured term loan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NewSecuredTermLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">New Secured Term Loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PaymentsFromGuarantorOfLoanReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Payments from guarantor of loan receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PaymentsFromGuarantorOfLoanReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments From Guarantor Of Loan Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PaymentsFromGuarantorOfLoanReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Payments from guarantor of loan receivable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NewAccountingPronouncementsOrChangeInAccountingPrincipleTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounting Standards Update and Change in Accounting Principle [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfFiniteLivedIntangibleAssetsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Intangible Asset, Finite-Lived [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Earnings Per Share, Basic, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net (loss) income per share of common stock - basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueConcentrationOfRiskDisclosureItemsDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Concentration of Risk, Disclosure Items [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueConcentrationOfRiskDisclosureItemsDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value, Concentration of Risk, Disclosure Items</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentPeriodEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Period End Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentPeriodEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Period End Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long Term Debt Initial Maturities Repayments of Principal in Year Five</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Long term debt initial maturities repayments of principal in year five</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2030</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentInformationTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Information [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyRealEstateOwnedHeld-For-SaleMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Multifamily Real Estate Owned Held-For-Sale [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyRealEstateOwnedHeld-For-SaleMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Multifamily real estate owned held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyRealEstateOwnedHeld-For-SaleMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Multifamily Real Estate Owned Held-For-Sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TermParticipationsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Term Participations [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TermParticipationsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Term Participations [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt Instrument [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FixedLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fixed Loan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FixedLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fixed Loan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FixedLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fixed Loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mixed-Use</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mixed use member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mixed Use [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Mixed-Use Property</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares Authorized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock authorized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WorkingCapitalAcquiredInForeclosuresOfRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Working capital acquired in foreclosures of real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WorkingCapitalAcquiredInForeclosuresOfRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Working Capital Acquired In Foreclosures Of Real Estate Owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WorkingCapitalAcquiredInForeclosuresOfRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Working capital acquired in foreclosures of real estate owned.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WorkingCapitalAcquiredInForeclosuresOfRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Working capital acquired in foreclosures on real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfStockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Stockholders' Equity [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableHeldForInvestmentGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans receivable held-for-investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableHeldForInvestmentGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Held-for-investment Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableHeldForInvestmentGross_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable held-for-investment gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromEquityMethodInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income (Loss) from Equity Method Investments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromEquityMethodInvestments_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Income from equity method investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromEquityMethodInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">(Loss) income from equity method investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromEquityMethodInvestments_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Loss from equity method investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromEquityMethodInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loss from equity method investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalAfterYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Maturity, after Year Five</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalAfterYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Thereafter</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividends</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentsAndJointVenturesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investments and Joint Ventures [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentTypeCategorizationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investments [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentTypeCategorizationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TimeBasedRestrictedStockUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Time Based Restricted Stock Units</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TimeBasedRestrictedStockUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Time based restricted stock units.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TimeBasedRestrictedStockUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Time Based Restricted Stock Units [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TimeBasedRestrictedStockUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Time-based Restricted Stock Units</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TerminationFeeDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Description of payments to managing member for termination or non-renewal of management agreement. Includes events of termination and basis for calculation.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TerminationFeeDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Termination Fee Description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TerminationFeeDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Termination fee, description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TransferOfLoansHeldForSaletoFromPortfolioLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Transfer Of Loans Held For SaleTo From Portfolio Loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TransferOfLoansHeldForSaletoFromPortfolioLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Transfer Of Loans Held For SaleTo From Portfolio Loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TransferOfLoansHeldForSaletoFromPortfolioLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Transfer to loans receivable held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateStatedPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">One-month SOFR</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateStatedPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Interest Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateStatedPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Stated Rate (2)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ExternalCreditRatingByGroupingAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">External Credit Rating by Grouping [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUseMultifamilyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mixed use, multifamily.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUseMultifamilyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mixed Use, Multifamily [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUseMultifamilyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mixed-Use, Multifamily</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_GeographicLocationTypeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Geographic location type member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_GeographicLocationTypeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Geographic Location Type [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_GeographicLocationTypeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Geographic Location</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AboveMarketLeaseValueFiveYearTotal_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Above market lease values, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AboveMarketLeaseValueFiveYearTotal_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Above Market Lease Value Five Year Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AboveMarketLeaseValueFiveYearTotal_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Above market lease value five year total.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Share-Based Compensation Arrangements by Share-Based Payment Award [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Share Based Compensation Arrangements By Share Based Payment Award [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RepaymentOfNoncashAdvancesToLoansReceivableInLieuOfInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Repayment of noncash advances to loans receivable in lieu of interest.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RepaymentOfNoncashAdvancesToLoansReceivableInLieuOfInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayment Of Noncash Advances To Loans Receivable In Lieu Of Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RepaymentOfNoncashAdvancesToLoansReceivableInLieuOfInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repayment of non-cash advances on loans receivable in lieu of interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Assets_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Assets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_Security12bTitle_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Title of 12(b) Security</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_Security12bTitle_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Title of 12(b) Security</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableHeldForSaleChargeOff_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principal Charge-Off</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableHeldForSaleChargeOff_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Held for Sale Charge Off</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableHeldForSaleChargeOff_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable held for sale charge off.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableHeldForSaleChargeOff_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Principal Charge-Off</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromEquityMethodInvestmentDividendsOrDistributionsReturnOfCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Equity Method Investment, Distribution, Return of Capital</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromEquityMethodInvestmentDividendsOrDistributionsReturnOfCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Return of capital distribution from CMTG/CN Mortgage REIT LLC</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">2024</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Below Market Lease, Amortization Income, Year One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2027</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEquityMethodInvestmentsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Equity Method Investments [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OtherCountriesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Other countries.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OtherCountriesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Countries [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OtherCountriesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unvested shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Number of Restricted Share Units, Unvested beginning balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Number of Restricted Share Units, Unvested ending balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ImpairmentOfRealEstate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Impairment of real estate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ImpairmentOfRealEstate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Impairment of Real Estate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock-based compensation expense, Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_TitleOfIndividualWithRelationshipToEntityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Title and Position [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_TX_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">TX</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_TX_lbl" xlink:role="http://www.xbrl.org/2003/role/label">TEXAS</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeNotionalAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Derivative notional amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeNotionalAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative, Notional Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities, Name [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateTransactionCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Real estate transaction costs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateTransactionCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Transaction Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateTransactionCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Transaction costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableRateAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Variable Rate [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableRateAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Variable Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NotesPayableOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Notes payable one.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NotesPayableOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Notes Payable One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NotesPayableOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Notes Payable One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Paid, Excluding Capitalized Interest, Operating Activity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash paid for interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeYearTwo_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">2025</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Below Market Lease, Amortization Income, Year Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2028</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanMaturityPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan maturity period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanMaturityPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Maturity Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanMaturityPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan maturity period.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanCommitmentAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan commitment amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanCommitmentAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Commitment Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanCommitmentAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan Commitment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TenantImprovementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Tenant improvements.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TenantImprovementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Tenant Improvements [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TenantImprovementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Tenant Improvements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FairValueMarketPricePerSquareFoot_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value market price per square foot</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FairValueMarketPricePerSquareFoot_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Market Price Per Square Foot</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FairValueMarketPricePerSquareFoot_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair Value Market Price Per Square Foot</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoansReceivableLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Loans Receivable [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoansReceivableLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of loans receivable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RemainingLoansDiscountedPayoffAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Remaining Loans Discounted Payoff Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RemainingLoansDiscountedPayoffAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Remaining Loans Discounted Payoff Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RemainingLoansDiscountedPayoffAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Remaining loans discounted payoff amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ExternalCreditRatingByGroupingDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">External Credit Rating by Grouping [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeYearThree_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">2026</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Below Market Lease, Amortization Income, Year Three</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2029</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_NV_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">NV</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_NV_lbl" xlink:role="http://www.xbrl.org/2003/role/label">NEVADA</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AccruedDeferredLeasingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Deferred Leasing Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AccruedDeferredLeasingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accrued deferred leasing costs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AccruedDeferredLeasingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued deferred leasing costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_O2025Q1DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">O 2025 Q1 Dividends [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_O2025Q1DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">O 2025 Q1 Dividends [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_O2025Q1DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">O 2025 Q1 dividends.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfSegmentReportingInformationBySegmentTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfSegmentReportingInformationBySegmentTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Distributable Loss and Reconciliation to Net Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndOtherIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest and Other Income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndOtherIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total interest and related income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableGrossCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Loans receivable carrying value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableGrossCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total portfolio loans carrying value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableGrossCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Gross Carrying Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableGrossCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable gross carrying amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Cash_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OriginationFeesDiscountsExtensionFeesAndExitFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Origination Fees, Discounts, Extension Fees And Exit Fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OriginationFeesDiscountsExtensionFeesAndExitFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Origination fees, discounts, extension fees and exit fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OriginationFeesDiscountsExtensionFeesAndExitFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Origination fees, discounts, extension fees and exit fees.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfUnitsInRealEstateProperty_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of units in property</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfUnitsInRealEstateProperty_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of Units in Real Estate Property</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CommitmentInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Commitment interest.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CommitmentInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitment Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CommitmentInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commitment Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SouthwestMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Southwest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SouthwestMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Southwest [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SouthwestMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Southwest member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AnticipatedRepaymentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Anticipated Repayment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AnticipatedRepaymentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Anticipated Repayment [Member].</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AnticipatedRepaymentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Anticipated Repayment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressAddressLine2_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, Address Line Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressAddressLine2_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, Address Line Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ArrangementsAndNonarrangementTransactionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement and Arrangement Other than Collaborative [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income Taxes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableGross_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable gross.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Carrying Value Before Principal Charge-Off and Specific CECL Reserves</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LandLoanOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Land</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LandLoanOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Land Loan One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LandLoanOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Land loan one.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateEstimatedFairValueDeterminedByThirdPartyAppraisal_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Real estate estimated fair value determined by third-party appraisal.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateEstimatedFairValueDeterminedByThirdPartyAppraisal_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Estimated Fair Value Determined By Third-Party Appraisal</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateEstimatedFairValueDeterminedByThirdPartyAppraisal_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Real estate estimated fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateEstimatedFairValueDeterminedByThirdPartyAppraisal_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real estate estimated fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateEstimatedFairValueDeterminedByThirdPartyAppraisal_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ManagementFeePayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Management Fee Payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ManagementFeePayable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Management fee payable - affiliate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ManagementFeePayable_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Base management fee payable to affiliate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByBalanceSheetGroupingTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, by Balance Sheet Grouping [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByBalanceSheetGroupingTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Financial Instruments Measured at Carrying And Estimated Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Earnings per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesPayableFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Notes payable, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesPayableFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Notes Payable, Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_JPMorganChaseBankNAMainPoolMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">JP Morgan Chase Bank NA Main Pool.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_JPMorganChaseBankNAMainPoolMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">J P Morgan Chase Bank N A Main Pool [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_JPMorganChaseBankNAMainPoolMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">JP Morgan Chase Bank NA Main Pool [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EstimateOfFairValueFairValueDisclosureMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Estimate of Fair Value Measurement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EstimateOfFairValueFairValueDisclosureMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProceedsFromCollectionOfNetLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from collection of net loans receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProceedsFromCollectionOfNetLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Collection of Net Loans Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProceedsFromCollectionOfNetLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Proceeds from collection of net loans receivable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfReportableSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of reportable segments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfReportableSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of Reportable Segments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateAcquiredThroughForeclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Acquired Through Foreclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateAcquiredThroughForeclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real estate acquired through foreclosure, fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_HospitalityOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Hospitality One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_HospitalityOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Hospitality one.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_HospitalityOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Hospitality One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WestMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">West member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WestMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">West [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WestMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">West</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableSpecificCECLReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Specific CECL reserves</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableSpecificCECLReserve_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Specific CECL Reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableSpecificCECLReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable specific CECL reserve.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableSpecificCECLReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Specific C E C L Reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableSpecificCECLReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Specific CECL reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AdditionalProvisionForLoansReceivableCeclReservesOnAccruedInterestReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Provision for Loans Receivable Cecl Reserves On Accrued Interest Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AdditionalProvisionForLoansReceivableCeclReservesOnAccruedInterestReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Additional provision for loans receivable cecl reserves on accrued interest receivable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AdditionalProvisionForLoansReceivableCeclReservesOnAccruedInterestReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional provision for loans receivable CECL reserves on accrued interest receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Long-term Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Borrowings Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Long Term Debt Full Maturities Repayments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CreditFacilityAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Credit Facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CreditFacilityAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Credit Facility [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SaleOfMultifamilyProperty_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sale of multifamily property</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SaleOfMultifamilyProperty_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Multifamily Property</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SaleOfMultifamilyProperty_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Sale of multifamily property</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FinancingReceivableTransferToRealEstateOwnedHeld-For-Investment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing ReceivableTransferTo Real Estate Owned, Held-For-Investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FinancingReceivableTransferToRealEstateOwnedHeld-For-Investment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Financing receivable transfer to real estate owned, held-for-investment.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FinancingReceivableTransferToRealEstateOwnedHeld-For-Investment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Transfer to real estate owned, held-for-investment (See Note 5)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfStockByClassTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock, Class of Stock [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfStockByClassTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Stock By Class [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RepurchaseAgreementsUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Repurchase agreements unpaid principal balance.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RepurchaseAgreementsUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repurchase Agreements Unpaid Principal Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RepurchaseAgreementsUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repurchase agreements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Below Market Lease, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Below market lease values</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseGross_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Below market lease values</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_GA_lbl" xlink:role="http://www.xbrl.org/2003/role/label">GEORGIA</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_GA_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">GA</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DeferredFeesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deferred fees.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DeferredFeesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Fees [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DeferredFeesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred Fees [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MorganStanleyBankNAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Morgan Stanley Bank NA [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MorganStanleyBankNAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Morgan Stanley Bank NA.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MorganStanleyBankNAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Morgan Stanley Bank N A [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NotesPayableTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Notes payable two.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NotesPayableTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Notes Payable Two [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NotesPayableTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Notes Payable Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Vested in Period, Weighted Average Grant Date Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-Average Grant Date Fair Value Per Share, Unvested Vested</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessor, Operating Lease, Payment to be Received</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_SegmentGeographicalDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Geographical [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_SegmentGeographicalDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Geographical</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateOwnedDisclosureOfDetailedComponentsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Owned, Disclosure of Detailed Components [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DeferredFeesAndDiscountsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deferred fees and discounts.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DeferredFeesAndDiscountsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Fees and Discounts [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MortgageLoansOnRealEstateNamePropertyTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MortgageLoansOnRealEstateNamePropertyTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real Estate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLeaseIntangiblesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of lease intangibles.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLeaseIntangiblesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Lease Intangibles [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLeaseIntangiblesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Lease Intangibles</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AccruedEquityIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued equity issuance costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AccruedEquityIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued equity issuance costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AccruedEquityIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accrued equity issuance costs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PortionAtOtherThanFairValueFairValueDisclosureMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Portion at Other than Fair Value Measurement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PortionAtOtherThanFairValueFairValueDisclosureMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unpaid Principal Balance [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_FormerAddressMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Former Address</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_FormerAddressMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Former Address [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statistical Measurement [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Minimum</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BelowMarketLeaseValueFiveYearTotal_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTotalLabel">Below market lease values, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BelowMarketLeaseValueFiveYearTotal_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Below market lease values, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BelowMarketLeaseValueFiveYearTotal_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Below Market Lease Value Five Year Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BelowMarketLeaseValueFiveYearTotal_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Below market lease value five year total.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestExpenseOnMultifamilyRealEstateOwnedProperties_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Expense On Multifamily Real Estate Owned Properties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestExpenseOnMultifamilyRealEstateOwnedProperties_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest expense on multifamily real estate owned properties.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestExpenseOnMultifamilyRealEstateOwnedProperties_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest expense on multifamily real estate owned properties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real estate owned:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Owned [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Real estate owned.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllowanceForLoanAndLeaseLossesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">SEC Schedule, 12-09, Allowance, Loan and Lease Loss [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllowanceForLoanAndLeaseLossesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Allowance For Loan And Lease Losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllowanceForLoanAndLeaseLossesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current Expected Credit Losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableNumberOfContract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of Loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableNumberOfContract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Number Of Contract</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableNumberOfContract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans Receivable Number Of Contract</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedTwoYears_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessor, Operating Lease, Payment to be Received, Year Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedTwoYears_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2028</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityInteractiveDataCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Interactive Data Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityInteractiveDataCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Interactive Data Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AboveMarketLeaseAmortizationIncomeYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Above Market Lease Amortization Income Year Three</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AboveMarketLeaseAmortizationIncomeYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Above market lease amortization income year three.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AboveMarketLeaseAmortizationIncomeYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2029</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedFourYearsWriteOffsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable originated four years write offs before latest fiscal year.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedFourYearsWriteOffsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Originated Four Years Write Offs Before Latest Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedFourYearsWriteOffsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Charge-offs, Year 5</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AboveMarketLeaseAmortizationIncomeAfterYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Above market lease amortization income after year four.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AboveMarketLeaseAmortizationIncomeAfterYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Above Market Lease Amortization Income After Year Four</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AboveMarketLeaseAmortizationIncomeAfterYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Thereafter</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProvisionForLoanLossesExpensed_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Credit Loss, Expense (Reversal)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProvisionForLoanLossesExpensed_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Provision (reversal)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProvisionForLoanLossesExpensed_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">(Reversal) provision of current expected credit loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainsLossesOnExtinguishmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Gain (Loss) on Extinguishment of Debt, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainsLossesOnExtinguishmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gain (Loss) on Extinguishment of Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainsLossesOnExtinguishmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Loss on extinguishment of debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainsLossesOnExtinguishmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loss on extinguishment of debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AmortizationOfDiscountOnSecuredTermLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortization of discount on secured term loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AmortizationOfDiscountOnSecuredTermLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization of Discount on Secured Term Loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AmortizationOfDiscountOnSecuredTermLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amortization of discount on secured term loan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MarketRiskBenefitActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Market Internal Risk Rating Benefit Activity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MarketRiskBenefitActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Market Risk Benefit, Activity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_HospitalityLoanTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Hospitality Loan Two [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_HospitalityLoanTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Hospitality loan two.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_HospitalityLoanTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Hospitality Loan Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NonAccrualLoansNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net Carrying Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NonAccrualLoansNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Non Accrual Loans Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NonAccrualLoansNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Non accrual loans net.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock, $0.01 par value, 500,000,000 shares authorized, 141,085,961 and 140,218,764 shares issued and 141,085,961 and 140,218,764 shares outstanding at September 30, 2026 and December 31, 2025, respectively</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Value, Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Common Stock, Value, Issued, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Common Stock, Value, Issued, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Common Stock, Value, Issued, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Earnings Per Share, Basic and Diluted [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Basic and Diluted Earning per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateIncreaseDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">One-month SOFR</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateIncreaseDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Interest Rate, Increase (Decrease)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Liabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Liabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableCreditQualityIndicatorsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Carrying Value of Loan Portfolio Based on Internal Risk Ratings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableCreditQualityIndicatorsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Credit Quality Indicators [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableCreditQualityIndicatorsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable credit quality indicators.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivablePrincipalOutstandingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unpaid Principal Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivablePrincipalOutstandingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Principal Outstanding Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivablePrincipalOutstandingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable principal outstanding amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PaymentsForLoanOriginationsAcquisitionsAndAdvancesNetOfFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Payments for loan originations acquisitions and advances net of fees.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PaymentsForLoanOriginationsAcquisitionsAndAdvancesNetOfFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments For Loan Originations Acquisitions And Advances Net Of Fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PaymentsForLoanOriginationsAcquisitionsAndAdvancesNetOfFees_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Loan originations, acquisitions and advances, net of fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long Term Debt Initial Maturities Repayments of Principal in Year Four</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Long term debt initial maturities repayments of principal in year four</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2029</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateOwnedAccumulatedDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Owned, Accumulated Depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateOwnedAccumulatedDepreciation_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Less: accumulated depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanCommitmentHeldForSale_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan Commitment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanCommitmentHeldForSale_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Commitment Held For Sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanCommitmentHeldForSale_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan commitment held for sale.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoansReceivableHeldForSaleAndLoansReceivableSoldTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Loans Receivable Held For Sale and Loans Receivable Sold [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoansReceivableHeldForSaleAndLoansReceivableSoldTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of loans receivable held for sale and loans receivable sold.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoansReceivableHeldForSaleAndLoansReceivableSoldTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Loans Receivable Held for sale and Loans Receivable Sold</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Valuation allowance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsValuationAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Valuation Allowance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProceedsFromSalesOfRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from sales of real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProceedsFromSalesOfRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds From Sales Of Real Estate Owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProceedsFromSalesOfRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Proceeds from sales of real estate owned.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Below Market Lease, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseNet_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Below market lease values</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseNet_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Below market lease values, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Below market lease values, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseNet_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTotalLabel">Below market lease values, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllowanceForLoanAndLeaseLossesRealEstate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Allowance for Loan and Lease Losses, Real Estate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllowanceForLoanAndLeaseLossesRealEstate_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Current expected credit loss reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accumulated deficit</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Retained Earnings (Accumulated Deficit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Retained Earnings (Accumulated Deficit), Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Retained Earnings (Accumulated Deficit), Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Retained Earnings (Accumulated Deficit), Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SaleOfMortgageLoanReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Mortgage Loan Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SaleOfMortgageLoanReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Sale of mortgage loan receivable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SaleOfMortgageLoanReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sales of loans receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel3Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 3 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel3Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Level 3 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableSoldGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Sold Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableSoldGross_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable sold gross.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableSoldGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Carrying Value Before Principal Charge-Off and Specific CECL Reserves</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MortgageForeclosureLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mortgage Foreclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MortgageForeclosureLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mortgage Foreclosure Loan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MortgageForeclosureLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mortgage Foreclosure Loan Member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AboveMarketLeasesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Above Market Lease Values [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AboveMarketLeasesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Above Market Leases [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AboveMarketLeasesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Above Market Lease Values</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PreviouslyRecognizedDepreciationAndAmortizationOnRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Previously Recognized Depreciation And Amortization On Real Estate Owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PreviouslyRecognizedDepreciationAndAmortizationOnRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Previously recognized depreciation and amortization on real estate owned.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PreviouslyRecognizedDepreciationAndAmortizationOnRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Previously recognized depreciation and amortization on real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PreviouslyRecognizedDepreciationAndAmortizationOnRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Previously recognized depreciation and amortization on real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PassMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Pass [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PassMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Risk Rating One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PassMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Risk Rating 1</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProvisionForReversalOfCurrentExpectedCreditLoss_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Provision for current expected credit loss reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProvisionForReversalOfCurrentExpectedCreditLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Provision for current expected credit loss reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProvisionForReversalOfCurrentExpectedCreditLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">(Reversal of) provision for current expected credit loss reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProvisionForReversalOfCurrentExpectedCreditLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">(Provision for) reversal of current expected credit loss.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProvisionForReversalOfCurrentExpectedCreditLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Provision For Reversal Of Current Expected Credit Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentOwnershipPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investment, Ownership Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentOwnershipPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common Stock Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentOwnershipPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Equity interest ownership percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SpecificCECLReserveOnLoansReceivableHeldForInvestmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Specific C E C L reserve on loans receivable held for investment.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SpecificCECLReserveOnLoansReceivableHeldForInvestmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Specific C E C L Reserve On Loans Receivable Held for Investment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SpecificCECLReserveOnLoansReceivableHeldForInvestmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans Receivable Held For Investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProceedsFromDebtRelatedToRealEstateOwnedHotelPortfolio_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from debt related to real estate owned hotel portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProceedsFromDebtRelatedToRealEstateOwnedHotelPortfolio_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds From Debt Related To Real Estate Owned Hotel Portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProceedsFromDebtRelatedToRealEstateOwnedHotelPortfolio_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Proceeds from debt related to real estate owned hotel portfolio.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenuesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenues [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenuesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_AZ_lbl" xlink:role="http://www.xbrl.org/2003/role/label">ARIZONA</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_AZ_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">AZ</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfInterestIncomeAndAccretionTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summarizes of Interest and Accretion Income from Loan Portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfInterestIncomeAndAccretionTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Interest Income and Accretion [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfInterestIncomeAndAccretionTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of interest income and accretion.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_VariableLoanTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Variable Loan Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_VariableLoanTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Variable Loan Two [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_VariableLoanTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Variable Loan Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Conversion of Units</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesConversionOfUnits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock in exchange for fully vested RSUs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfAmortizationOfOurLeaseIntangiblesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Amortization Of Our Lease Intangibles</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfAmortizationOfOurLeaseIntangiblesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Amortization Of Our Lease Intangibles [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfAmortizationOfOurLeaseIntangiblesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of amortization of our lease intangibles.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MortgageLoansOnRealEstateScheduleTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">SEC Schedule, 12-29, Real Estate Companies, Investment in Mortgage Loans on Real Estate Schedule [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MortgageLoansOnRealEstateScheduleTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mortgage Loans On Real Estate Schedule [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Organization, Consolidation and Presentation of Financial Statements Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Organization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustment to Reconcile Net Income to Cash Provided by (Used in) Operating Activity, Increase (Decrease) in Operating Capital [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOperatingCapitalAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Changes in operating assets and liabilities:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncentiveFeeDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Incentive Fee, Description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncentiveFeeDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Incentive fees, description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedInterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedInterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Owned, Interest Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedInterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Real estate owned, interest expense.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedInterestExpense_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Interest expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedInterestExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Total interest expense from real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common shares issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, New Issues</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Outstanding warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right, Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForLeasingCosts_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Payment of deferred leasing costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForLeasingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payment for Initial Direct Cost, Lease, Investing Activity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OffsettingAssetsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Offsetting Assets [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableRateDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Variable Rate [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableRateDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Variable Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ForeclosedAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ForeclosedAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repossessed Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ForeclosedAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real estate owned held-for-investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WeightedAverageTermToFullyExtendedMaturity_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Weighted average loans receivable term to fully extended maturity.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WeightedAverageTermToFullyExtendedMaturity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Term To Fully Extended Maturity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WeightedAverageTermToFullyExtendedMaturity_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Weighted average term to fully extended maturity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PaymentOfDeferredFinancingCosts_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Payment of deferred financing costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PaymentOfDeferredFinancingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payment of Deferred Financing Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PaymentOfDeferredFinancingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Payment of deferred financing costs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCash_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCash_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Restricted cash, end of period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCash_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Restricted cash, beginning of period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCash_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCash_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Restricted Cash, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">2023</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Below Market Lease, Amortization Income, Remainder of Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2026</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedThreeYearsWriteOffsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable originated three years write offs before latest fiscal year.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedThreeYearsWriteOffsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Originated Three Years Write Offs Before Latest Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedThreeYearsWriteOffsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Charge-offs, Year 4</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingCostsAndExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total operating expenses from real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingCostsAndExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Costs and Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingCostsAndExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Operating Costs and Expenses, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FixedSeniorLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fixed Senior Loans.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FixedSeniorLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fixed Senior Loans [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FixedSeniorLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fixed Senior Loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transactions [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyThreeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Multifamily Three [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyThreeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Multifamily three.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyThreeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Multifamily</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyPropertiesVariableRentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Multifamily Properties Variable Rents [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyPropertiesVariableRentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Multifamily properties variable rents member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyPropertiesVariableRentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Multifamily Properties Variable Rents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetailMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Retail [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetailMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Retail</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableProvisionForCurrentExpectedCreditLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Provision for current expected credit losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableProvisionForCurrentExpectedCreditLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Provision For Current Expected Credit Losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableProvisionForCurrentExpectedCreditLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable provision for current expected credit losses.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentByTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Lived Asset, Class [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentByTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Long-Lived Tangible Asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AmortizationOfDeferredFinancingCostsOnSecuredFinancings_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortization of deferred financing costs on secured financings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AmortizationOfDeferredFinancingCostsOnSecuredFinancings_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization Of Deferred Financing Costs On Secured Financings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AmortizationOfDeferredFinancingCostsOnSecuredFinancings_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amortization of deferred financing costs on secured financings.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SecuredTermLoanNetUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Secured term loan net unpaid principal balance.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SecuredTermLoanNetUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Secured Term Loan Net Unpaid Principal Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SecuredTermLoanNetUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Secured term loan, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableRollForwardLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable roll forward.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableRollForwardLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Roll Forward [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableRollForwardLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans Receivable Roll Forward [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Events [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subsequent Events</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LossFromValuationAdjustmentForRealEstateOwnedHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loss from Valuation Adjustment for Real Estate Owned Held-For-Sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LossFromValuationAdjustmentForRealEstateOwnedHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loss from Valuation Adjustment for Real Estate Owned Held-For-Sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LossFromValuationAdjustmentForRealEstateOwnedHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Loss from our valuation adjustment for real estate owned held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedInCurrentFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Year One, Originated, Current Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedInCurrentFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Year 1</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeYearFour_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">2027</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Below Market Lease, Amortization Income, Year Four</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2030</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByFairValueHierarchyLevelAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Hierarchy and NAV</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByFairValueHierarchyLevelAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Hierarchy and NAV [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermDebtTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Debt, Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermDebtTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Short-term Debt, Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CommonStockValueAvailableForFutureIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock value available for future issuance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CommonStockValueAvailableForFutureIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock Value Available For Future Issuance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CommonStockValueAvailableForFutureIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Common stock value available for future issuance.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedFiveYearsWriteOffsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable originated five years write offs before latest fiscal year.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedFiveYearsWriteOffsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Originated Five Years Write Offs Before Latest Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedFiveYearsWriteOffsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Charge-offs, Year 6</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceOtherLeaseValueFiveYearTotal_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">In place other lease value five year total.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceOtherLeaseValueFiveYearTotal_lbl" xlink:role="http://www.xbrl.org/2003/role/label">In Place Other Lease Value Five Year Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceOtherLeaseValueFiveYearTotal_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">In-place and other lease values, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AmortizationOfDeferredFinancingCostsOnDebtRelatedToRealEstateOwnedHotelPortfolio_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization Of Deferred Financing Costs On Debt Related To Real Estate Owned Hotel Portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AmortizationOfDeferredFinancingCostsOnDebtRelatedToRealEstateOwnedHotelPortfolio_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amortization of deferred financing costs on debt related to real estate owned hotel portfolio.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AmortizationOfDeferredFinancingCostsOnDebtRelatedToRealEstateOwnedHotelPortfolio_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortization of deferred financing costs on debt related to real estate owned hotel portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Property, Plant and Equipment [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant, and Equipment [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property Plant And Equipment [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SecuritiesLoanedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Secured Term Loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SecuritiesLoanedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Securities Loaned [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SecuritiesLoanedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Secured Term Loan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedMultifamilyPropertiesAssetsAcquiredAndLiabilitiesAssumedTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Owned Multifamily Properties Assets Acquired And Liabilities Assumed [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedMultifamilyPropertiesAssetsAcquiredAndLiabilitiesAssumedTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Real estate owned multifamily properties assets acquired and liabilities assumed .</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedMultifamilyPropertiesAssetsAcquiredAndLiabilitiesAssumedTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Additional Detail of Acquired Assets and Assumed Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfStockIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments of Stock Issuance Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfStockIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Payment of equity issuance costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestRateCapMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Interest Rate Cap [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestRateCapMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest Rate Cap</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestRateCapMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Rate Cap</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LeaseIntangiblesAcquiredInForeclosureOfRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lease Intangibles Acquired In Foreclosure Of Real Estate Owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LeaseIntangiblesAcquiredInForeclosureOfRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Lease intangibles acquired in foreclosure of real estate owned.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LeaseIntangiblesAcquiredInForeclosureOfRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lease intangibles, net acquired in foreclosures on real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeniorLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Senior Loans [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeniorLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Senior Loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SecuredTermLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Secured Term Loan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SecuredTermLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Secured Term Loan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SecuredTermLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Secured Term Loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SaleOfMultifamilyPropertyAccumulatedDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Multifamily Property Accumulated Depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SaleOfMultifamilyPropertyAccumulatedDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Sale of multifamily property accumulated depreciation.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SaleOfMultifamilyPropertyAccumulatedDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sale of multifamily property, Accumulaed Depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableHeldForSaleUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Held For Sale Unpaid Principal Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableHeldForSaleUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable held for sale unpaid principal balance.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableHeldForSaleUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans receivable held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Weighted-Average Grant Date Fair Value Per Share, Unvested beginning balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Weighted average grant-date fair value per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Grant date fair value per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableWriteOffsOfExitFee_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Write Offs of Exit Fee</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableWriteOffsOfExitFee_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable write offs of exit fee.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableWriteOffsOfExitFee_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principal charge-off of an exit fee</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PaymentsForAdvancesOnLoansReceivableHeldForSale_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments For Advances On Loans Receivable Held-For-Sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PaymentsForAdvancesOnLoansReceivableHeldForSale_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Payments for advances on loans receivable held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PaymentsForAdvancesOnLoansReceivableHeldForSale_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Advances on loan receivable held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProceedsFromSecuredTermLoanAndIssuanceOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from secured term loan and issuance of warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProceedsFromSecuredTermLoanAndIssuanceOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from secured term loan and issuance of warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProceedsFromSecuredTermLoanAndIssuanceOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Proceeds from secured term loan and issuance of warrants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SpecialMentionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Special Mention [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SpecialMentionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Risk Rating Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SpecialMentionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Risk Rating 2</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total liabilities assumed</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Liability Assumed, Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities and Equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total liabilities and equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AnnualBaseManagementFeePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage used to calculate the management fees paid to the manager.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AnnualBaseManagementFeePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Annual Base Management Fee Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AnnualBaseManagementFeePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Annual base management fee percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestIncomeFromLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest income from loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestIncomeFromLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest income from loan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUseHospitalityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mixed-Use, Hospitality</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUseHospitalityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mixed Use, Hospitality [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUseHospitalityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mixed use, hospitality.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateDebtUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Real estate debt unpaid principal balance.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateDebtUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Debt Unpaid Principal Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateDebtUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt related to real estate owned hotel portfolio, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProceedsFromWorkingCapitalAdjustment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds From Working Capital Adjustment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProceedsFromWorkingCapitalAdjustment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Proceeds from working capital adjustment.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProceedsFromWorkingCapitalAdjustment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from working capital adjustment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentDescriptionOfVariableRateBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted Average Spread</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentDescriptionOfVariableRateBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Spread</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentDescriptionOfVariableRateBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Debt instrument, variable interest rate basis</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Intangible Asset, Finite-Lived, Class [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFiscalPeriodFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Fiscal Period Focus</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFiscalPeriodFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Fiscal Period Focus</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_GeneralCeclReserveMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">General CECL Reserve [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_GeneralCeclReserveMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">General CECL Reserve [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_GeneralCeclReserveMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">General CECL Reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MortgageLoansOnRealEstateFaceAmountOfMortgages_lbl" xlink:role="http://www.xbrl.org/2003/role/label">SEC Schedule, 12-29, Real Estate Companies, Investment in Mortgage Loans on Real Estate, Face Amount of Mortgages</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MortgageLoansOnRealEstateFaceAmountOfMortgages_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principal Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativesFairValueLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Derivatives Fair Value Line Items</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativesFairValueLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivatives, Fair Value [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CompanyContributionAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Company contribution amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CompanyContributionAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Company Contribution Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CompanyContributionAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Company Contribution Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PaymentOfTransactionCostsFromForeclosuresOfRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payment Of Transaction Costs From Foreclosures Of Real Estate Owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PaymentOfTransactionCostsFromForeclosuresOfRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Payment of transaction costs from foreclosures of real estate owned.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PaymentOfTransactionCostsFromForeclosuresOfRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Payment of transaction costs from foreclosures on real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Depreciation, Depletion and Amortization, Nonproduction</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Depreciation, Depletion and Amortization, Nonproduction, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationAndAmortization_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Depreciation and amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_TitleOfIndividualAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Title and Position [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfPropertyPlantAndEquipmentTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property, Plant, and Equipment [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfPropertyPlantAndEquipmentTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Property Plant And Equipment [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoanParticipationsSoldTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Loan Participations Sold [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoanParticipationsSoldTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule, loan participations sold.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoanParticipationsSoldTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Loan Participations Sold [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedThreeYears_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessor, Operating Lease, Payment to be Received, Year Three</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedThreeYears_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2029</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivablePortfolioMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable portfolio.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivablePortfolioMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Portfolio [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivablePortfolioMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans Receivable Portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_IncrementalLossOnConsummationOfSale_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Incremental Loss on Consummation of Sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_IncrementalLossOnConsummationOfSale_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Incremental loss on consummation of sale.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_IncrementalLossOnConsummationOfSale_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Incremental loss on consummation of sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsidiarySaleOfStockAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedFiveOrMoreYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Originated, More than Five Years before Current Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedFiveOrMoreYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Year 6</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MortgageLoansOnRealEstateLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">SEC Schedule, 12-29, Real Estate Companies, Investment in Mortgage Loans on Real Estate [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MortgageLoansOnRealEstateLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mortgage Loans On Real Estate [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_HotelMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Hotel</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_HotelMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Hotel [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_HotelMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Hotel Portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Period Increase (Decrease), Including Exchange Rate Effect and Discontinued Operation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net (decrease) increase in cash, cash equivalents and restricted cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CarryingValueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Carrying Value [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CarryingValueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Carrying value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CarryingValueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Carrying Value [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCurrentReportingStatus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Current Reporting Status</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCurrentReportingStatus_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Current Reporting Status</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CashBasisIncomeFromNonAccrualLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Basis Income From Non Accrual Loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CashBasisIncomeFromNonAccrualLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Cash basis income from non-accrual loan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CashBasisIncomeFromNonAccrualLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash basis income from non-accrual loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanPortfolioMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Portfolio [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanPortfolioMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan Portfolio.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanPortfolioMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan Portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UseOfEstimates_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Use of Estimates, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UseOfEstimates_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Use of Estimates</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NonCashAdvancesOnDebtRelatedToRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-cash advances on debt related to real estate owned hotel portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NonCashAdvancesOnDebtRelatedToRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Non Cash Advances On Debt Related To Real Estate Owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NonCashAdvancesOnDebtRelatedToRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Non cash advances on debt related to real estate owned.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AboveMarketLeaseAmortizationIncomeNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Above Market Lease Amortization Income Next Twelve Months</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AboveMarketLeaseAmortizationIncomeNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Above market lease amortization income next twelve months.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AboveMarketLeaseAmortizationIncomeNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2027</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 1 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Level 1 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestRateCapOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest Rate Cap One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestRateCapOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Rate Cap One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestRateCapOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest rate cap one.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DepreciationExpenseRealEstateOwnedHeld-For-InvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Depreciation Expense, Real Estate Owned Held-for-Investment,Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DepreciationExpenseRealEstateOwnedHeld-For-InvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Depreciation expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DepreciationExpenseRealEstateOwnedHeld-For-InvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Depreciation Expense, Real Estate Owned Held-for-Investment,Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investment Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancialInstrumentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Instrument [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancialInstrumentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financial Instrument</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ForeclosureOfMultifamilyPropertyIncludingCapitalizedTransactionCostsRealEstateOwnedHeld-For-InvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Foreclosure of multifamily property including capitalized transaction costs, Real Estate Owned Held-for-Investment, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ForeclosureOfMultifamilyPropertyIncludingCapitalizedTransactionCostsRealEstateOwnedHeld-For-InvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Foreclosure of multifamily property including capitalized transaction costs, Real Estate Owned Held-for-Investment, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ForeclosureOfMultifamilyPropertyIncludingCapitalizedTransactionCostsRealEstateOwnedHeld-For-InvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Foreclosure of multifamily property including capitalized transaction costs, Real Estate Owned Held-for-Investment, Net.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NumberOfLoansOutstandingInMaturityDefault_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of loans outstanding in maturity default</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NumberOfLoansOutstandingInMaturityDefault_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Loans Outstanding In Maturity Default</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NumberOfLoansOutstandingInMaturityDefault_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of loans outstanding in maturity default.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Weighted-Average Grant Date Fair Value Per Share, Unvested ending balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Option, Nonvested, Weighted Average Exercise Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Share-based Compensation Arrangement by Share-based Payment Award, Option, Nonvested, Weighted Average Exercise Price, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MortgageLoansOnRealEstateDescriptionTypeOfPropertyAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate, Type of Property [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MortgageLoansOnRealEstateDescriptionTypeOfPropertyAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real Estate, Type of Property</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentTransitionReport_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Transition Report</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentTransitionReport_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Transition Report</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AccruedDeferredFinancingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued deferred financing costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AccruedDeferredFinancingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accrued Deferred Financing Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AccruedDeferredFinancingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accrued deferred financing costs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SoutheastMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Southeast member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SoutheastMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Southeast [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SoutheastMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Southeast</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TermParticipationFacilityFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Term participation facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TermParticipationFacilityFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Term Participation Facility, Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TermParticipationFacilityFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Term participation facility, fair value disclosure.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and Contingencies Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfRealEstatePropertiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Real Estate Properties [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfRealEstatePropertiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Additional Detail Related to Real Estate Owned Held-for-Investment, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real estate owned, carrying value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Investments, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Real estate owned held-for-investment, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SecuredLongTermDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Secured Long-Term Debt, Noncurrent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SecuredLongTermDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Secured term loan, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterestAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterestAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity, Including Portion Attributable to Noncontrolling Interest [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SummaryOfCarryingValueAndSignificantCharacteristicsOfLoansReceivableOnNonAccrualStatusTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Summary of carrying value and significant characteristics of loans receivable on non-accrual status.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SummaryOfCarryingValueAndSignificantCharacteristicsOfLoansReceivableOnNonAccrualStatusTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Summary Of Carrying Value And Significant Characteristics Of Loans Receivable On Non Accrual Status Table [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SummaryOfCarryingValueAndSignificantCharacteristicsOfLoansReceivableOnNonAccrualStatusTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Carrying Value and Significant Characteristics of Loans Receivable on Non-accrual Status</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SettlementOfLoanReceivableThroughAssignmentToLender_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Settlement of loan receivable through assignment to lender</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SettlementOfLoanReceivableThroughAssignmentToLender_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Settlement of loan receivable through assignment to lender.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SettlementOfLoanReceivableThroughAssignmentToLender_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Settlement of loan receivable through assignment to lender</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtWeightedAverageInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted Average Interest Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtWeightedAverageInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Weighted Average Interest Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtWeightedAverageInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt, Weighted Average Interest Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Derivatives</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivatives</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WellsFargoBankNAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Wells Fargo Bank NA.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WellsFargoBankNAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Wells Fargo Bank N A [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WellsFargoBankNAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Wells Fargo Bank NA [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDilutedLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Diluted, by Common Class, Including Two Class Method [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDilutedLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Earnings Per Share Diluted [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total assets acquired</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Asset Acquired, Asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SummaryOfChangesInRealEstateOwnedHeld-For-InvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Summary of changes in real estate owned held-for-investment net.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SummaryOfChangesInRealEstateOwnedHeld-For-InvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Changes In Real Estate Owned Held-For-Investment, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SummaryOfChangesInRealEstateOwnedHeld-For-InvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Summary of Changes In Real Estate Owned Held-For-Investment, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CreditFacilityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Credit Facility [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CreditFacilityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Credit Facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statistical Measurement [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Statistical Measurement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NonAccrualLoansUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unpaid Principal Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NonAccrualLoansUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Non Accrual Loans Unpaid Principal Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NonAccrualLoansUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Non accrual loans unpaid principal balance.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Notes Payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Notes payable, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Notes Payable, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_DirectorMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Director</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_DirectorMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Director [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtObligationCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Obligation Capacity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtObligationCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Capacity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtObligationCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt obligation capacity.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Weighted Average Number of Shares Outstanding, Basic, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Outstanding, Basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average shares of common stock outstanding - basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationAllowancesAndReservesDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">SEC Schedule, 12-09, Valuation Allowances and Reserves [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationAllowancesAndReservesDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">SEC Schedule, 12-09, Valuation Allowances and Reserves</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateHeldForUsePolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Held For Use [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateHeldForUsePolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Real estate held for use.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateHeldForUsePolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real Estate Owned (and Related Debt)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfMortgageLoansTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Mortgage Loans [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfMortgageLoansTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of mortgage loans.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfMortgageLoansTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Loans Receivable Held-for-Investment Portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net Interest Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Interest Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt Instrument Interest Rate.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Interest Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WeightedAverageRiskRatingOnLoanExposure_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Weighted-average risk rating on loan exposure.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WeightedAverageRiskRatingOnLoanExposure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Risk Rating On Loan Exposure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WeightedAverageRiskRatingOnLoanExposure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average risk rating on loan exposure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_GoldmanSachsBankUSAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Goldman Sachs Bank U S A [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_GoldmanSachsBankUSAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Goldman Sachs Bank USA [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_GoldmanSachsBankUSAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Goldman Sachs Bank USA.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SubordinateSecuredDebtMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Subordinate secured debt.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SubordinateSecuredDebtMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subordinate Secured Debt Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SubordinateSecuredDebtMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subordinate Secured Loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCentralIndexKey_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Central Index Key</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCentralIndexKey_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Central Index Key</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtObligationWeightedAverageSpread_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Obligation Weighted Average Spread</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtObligationWeightedAverageSpread_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted Average Spread</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtObligationWeightedAverageSpread_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt obligation weighted average spread.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DerivativeRemainingMaturityDates_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Derivative remaining maturity dates</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DerivativeRemainingMaturityDates_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Remaining Maturity Dates</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DerivativeRemainingMaturityDates_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Derivative remaining maturity dates.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BasicEarningsLossAvailableToCommonShareholders_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Basic Earnings Loss Available to Common Shareholders</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BasicEarningsLossAvailableToCommonShareholders_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Basic earnings loss available to common shareholders.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BasicEarningsLossAvailableToCommonShareholders_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Basic loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BasicEarningsLossAvailableToCommonShareholders_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTotalLabel">Basic loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfRevenuesAndOperatingExpensesOfRealEstateOwnedPropertiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Revenues And Operating Expenses Of Real Estate Owned Properties [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfRevenuesAndOperatingExpensesOfRealEstateOwnedPropertiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of revenues and operating expenses of real estate owned properties.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfRevenuesAndOperatingExpensesOfRealEstateOwnedPropertiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Revenues and Operating Expenses of Real Estate Owned Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PercentageOfLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The Percentage of gross amount of loans receivable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PercentageOfLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of Loans Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PercentageOfLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of total portfolio loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CapitalExpendituresOnRealEstateAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Capital Expenditures on Real Estate Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CapitalExpendituresOnRealEstateAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Capital expenditures on real estate assets.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CapitalExpendituresOnRealEstateAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Capital expenditures on real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfStockLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Stock [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfStockLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Class Of Stock [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ExtensionAndExitFeesReceivedFromLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Extension and exit fees received from loans receivable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ExtensionAndExitFeesReceivedFromLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Extension And Exit Fees Received From Loans Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ExtensionAndExitFeesReceivedFromLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Extension and exit fees received from loans receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CurrentFiscalYearEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Current Fiscal Year End Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CurrentFiscalYearEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current Fiscal Year End Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_HospitalityLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Hospitality Loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_HospitalityLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Hospitality Loan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_HospitalityLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Hospitality loan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentQuarterlyReport_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Quarterly Report</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentQuarterlyReport_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Document Quarterly Report</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentRealEstateOwnedNetBorrowingOutstandingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument real estate owned net borrowing outstanding amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentRealEstateOwnedNetBorrowingOutstandingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Real Estate Owned Net Borrowing Outstanding Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentRealEstateOwnedNetBorrowingOutstandingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Borrowing Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEarningsPerShareDilutedByCommonClassTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Diluted, by Common Class, Including Two-Class Method [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressAddressLine3_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, Address Line Three</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressAddressLine3_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, Address Line Three</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Maturity Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contractual Maturity Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SettlementOfNotePayableThroughAssignmentToLender_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Settlement of note payable through assignment to lender</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SettlementOfNotePayableThroughAssignmentToLender_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Settlement of note payable through assignment to lender.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SettlementOfNotePayableThroughAssignmentToLender_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Settlement of note payable through assignment to lender</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtRelatedToRealEstateOwnedOriginalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Senior mortgage amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtRelatedToRealEstateOwnedOriginalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Related To Real Estate Owned Original Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtRelatedToRealEstateOwnedOriginalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt related to real estate owned original balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SecuredTermLoanLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Secured term loan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SecuredTermLoanLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Secured Term Loan [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SecuredTermLoanLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Secured Term Loan [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MaximumLiabilityDueToThePurchaserForTheLoanSold_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Maximum Liability Due To The Purchaser For The Loan Sold</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MaximumLiabilityDueToThePurchaserForTheLoanSold_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Maximum liability due to the purchaser for the loan sold.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MaximumLiabilityDueToThePurchaserForTheLoanSold_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maximum liability due to the purchaser for the loan sold</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel2Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 2 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel2Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Level 2 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Asset Acquired, Cash and Cash Equivalent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestPastDueForNonAccrualLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Past due for non accrual loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestPastDueForNonAccrualLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest Past due for non accrual loans.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoansReceivablePortfolioByLoanTypeTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Loans Receivable Held-for-investment by Loan Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoansReceivablePortfolioByLoanTypeTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Summary of loans receivable portfolio by loan type.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoansReceivablePortfolioByLoanTypeTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Loans Receivable Portfolio By Loan Type Table [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TransferToHeld-For-SaleRealEstateOwnedHeld-For-InvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Transfer to Held-for-Sale, Real Estate Owned Held-for-Investment, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TransferToHeld-For-SaleRealEstateOwnedHeld-For-InvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Transfer to Held-for-Sale, Real Estate Owned Held-for-Investment, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TransferToHeld-For-SaleRealEstateOwnedHeld-For-InvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Transfer to held-for-sale, Real Estate Owned Held-for-Investment, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Operating Activity, Including Discontinued Operation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net cash provided by operating activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net cash used in operating activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityIncorporationStateCountryCode_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Incorporation, State or Country Code</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityIncorporationStateCountryCode_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Incorporation, State or Country Code</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Earnings Per Share, Diluted, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net (loss) income per share of common stock - diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of shares issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Shares Issued in Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Shares issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedFiveOrMoreYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Year 6</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedFiveOrMoreYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Originated Five Or More Years Before Latest Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedFiveOrMoreYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable originated five or more years before latest fiscal year.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLossesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Allowance for Credit Loss [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLossesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financing Receivable Allowance For Credit Losses [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Basic earnings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAdjustmentOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Adjustment of Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAdjustmentOfWarrants_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value adjustment of warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOtherOperatingAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Other Operating Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOtherOperatingAssets_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Other assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOtherOperatingAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Increase (Decrease) in Other Operating Assets, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedTwoYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Originated Two Years Before Latest Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedTwoYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable originated two years before latest fiscal year.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedTwoYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Year 3</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitments and Contingencies Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommitmentsAndContingenciesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commitments and Contingencies</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ValuationAdjustmentForLoanReceivableHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Valuation Adjustment for Loan Receivable Held-For-Sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ValuationAdjustmentForLoanReceivableHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Valuation adjustment for loan receivable held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ValuationAdjustmentForLoanReceivableHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Valuation adjustment for loan receivable held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ValuationAdjustmentForLoanReceivableHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Valuation adjustment for loan receivable held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CapitalExpendituresGrossCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Capital Expenditures, Gross Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CapitalExpendituresGrossCost_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Capital expenditures, gross cost.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CapitalExpendituresGrossCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Capital expenditures, Gross Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Lived Asset, Class [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyPlantAndEquipmentTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Long-Lived Tangible Asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RealEstateAndAccumulatedDepreciationByPropertyTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">SEC Schedule, 12-28, Real Estate Companies, Investment in Real Estate and Accumulated Depreciation, by Property [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investments [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Financial Information for Equity Method Investments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromCollectionOfLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repayments of loans receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromCollectionOfLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Repayments of loans receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromCollectionOfLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from loans receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProvisionSpecificCurrentExpectedCreditLossReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Provision for specific CECL reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProvisionSpecificCurrentExpectedCreditLossReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Provision Specific Current Expected Credit Loss Reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProvisionSpecificCurrentExpectedCreditLossReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Provision specific current expected credit loss reserve.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FixedSubordinateLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fixed Subordinate Loans.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FixedSubordinateLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fixed Subordinate Loans [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FixedSubordinateLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fixed Subordinate Loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentUnusedBorrowingCapacityAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Unused Borrowing Capacity, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentUnusedBorrowingCapacityAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Undrawn Capacity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansHeldToMaturityFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans held to maturity fair value disclosure.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansHeldToMaturityFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Held To Maturity Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansHeldToMaturityFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans receivable held-for-investment, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAboveMarketAndOtherLeaseValuesNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">In-place, above market, and other lease values, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAboveMarketAndOtherLeaseValuesNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">In-place, above market, and other lease values, net.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAboveMarketAndOtherLeaseValuesNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">In-Place, Above Market, and Other Lease Values, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAboveMarketAndOtherLeaseValuesNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">In-place, above market, and other lease values, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoansReceivablesPastDueTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Loans Receivables Past Due [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoansReceivablesPastDueTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of loans receivables past due.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentTypeExtensibleEnumeration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment, Type [Extensible Enumeration]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NortheastMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Northeast [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NortheastMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Northeast member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NortheastMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Northeast</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ScenarioUnspecifiedDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Scenario [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedFourYears_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessor, Operating Lease, Payment to be Received, Year Four</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedFourYears_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2030</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementEquityComponentsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Components [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementEquityComponentsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity Components</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MembersEquityAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Members' Equity Attributable to Noncontrolling Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MembersEquityAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Members' capital</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Investing Activity, Including Discontinued Operation [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash flows from investing activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfSecuredDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayments of Secured Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfSecuredDebt_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Repayments of secured financings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfSecuredDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repayments of secured financings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfCashFlowsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Cash Flows [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeBenefitsAndShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock-based compensation expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeBenefitsAndShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Employee Benefits and Share-Based Compensation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeBenefitsAndShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Stock-based compensation expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TwoThousandEighteenLoanOriginationCommitmentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan Originated 2018</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TwoThousandEighteenLoanOriginationCommitmentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Eighteen Loan Origination Commitments [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TwoThousandEighteenLoanOriginationCommitmentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Two thousand eighteen loan origination commitments.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsFairValueHierarchyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Hierarchy and NAV [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsFairValueHierarchyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Hierarchy and NAV</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeTaxDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Tax Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PastDueInterestAndCharge-Offs_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Past Due Interest and Charge-offs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PastDueInterestAndCharge-Offs_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Past due interest and charge-offs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PastDueInterestAndCharge-Offs_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Past due interest and charge-offs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsDeclaredTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends Declared [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsDeclaredTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Dividends Declared For Common And Preferred Stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedFiveYearsRecoveryOfPrincipalCharge-OffsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recovery of principal charge-offs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedFiveYearsRecoveryOfPrincipalCharge-OffsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Originated Five Years Recovery of Principal Charge-Offs Before Latest Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedFiveYearsRecoveryOfPrincipalCharge-OffsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable originated five years recovery of principal charge-offs before latest fiscal year.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateAcquiredInForeclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real estate acquired in foreclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateAcquiredInForeclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Acquired In Foreclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateAcquiredInForeclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Real estate acquired in foreclosure.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RepaymentsOfDebtRelatedToRealEstateOwnedHotelPortfolio_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Repayments of debt related to real estate owned hotel portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RepaymentsOfDebtRelatedToRealEstateOwnedHotelPortfolio_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayments Of Debt Related To Real Estate Owned Hotel Portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RepaymentsOfDebtRelatedToRealEstateOwnedHotelPortfolio_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Repayments of debt related to real estate owned hotel portfolio.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableUnpaidPrincipalBalanceSpecificReserves_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unpaid Principal Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableUnpaidPrincipalBalanceSpecificReserves_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Unpaid Principal Balance Specific Reserves</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableUnpaidPrincipalBalanceSpecificReserves_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable unpaid principal balance specific reserves.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAboveMarketAndOtherLeaseValuesGross_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">In-place, above market, and other lease values gross.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAboveMarketAndOtherLeaseValuesGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">In-Place, Above Market, and Other Lease Values Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAboveMarketAndOtherLeaseValuesGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">In-place, above market, and other lease values</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_OfficeBuildingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Office Building [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_OfficeBuildingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Office</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_UnlikelyToBeCollectedFinancingReceivableTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Unlikely to be collected financing receivable two.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_UnlikelyToBeCollectedFinancingReceivableTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unlikely To Be Collected Financing Receivable Two [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_UnlikelyToBeCollectedFinancingReceivableTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Risk Rating 5</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableGeneralCeclReserve_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">General CECL reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableGeneralCeclReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">General CECL reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableGeneralCeclReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable General CECL Reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableGeneralCeclReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable general CECL reserve.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SaleOfMultifamilyPropertyRealEstateOwnedHeld-For-InvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Multifamily Property Real Estate Owned Held-for-Investment, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SaleOfMultifamilyPropertyRealEstateOwnedHeld-For-InvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Sale of Multifamily Property Real Estate Owned Held-for-Investment, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SaleOfMultifamilyPropertyRealEstateOwnedHeld-For-InvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sale of multifamily property, Real Estate Owned Held-for-Investment, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AmortizedCostBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Amortized cost basis</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AmortizedCostBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amortized cost basis.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AmortizedCostBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortized Cost Basis</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AmortizedCostBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortized Cost Basis</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrealizedGainLossOnDerivatives_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unrealized Gain (Loss) on Derivatives</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrealizedGainLossOnDerivatives_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Unrealized loss on interest rate cap</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrealizedGainLossOnDerivatives_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrealized loss on interest rate cap</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AdditionalProvisionForLoansReceivableSpecificCECLReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Provision for Loans Receivable Specific C E C L Reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AdditionalProvisionForLoansReceivableSpecificCECLReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Additional provision for loans receivable specific CECL reserve.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AdditionalProvisionForLoansReceivableSpecificCECLReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional provision for specific CECL reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PaymentOfFeesOnSecuredFinancings_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Payment of fees on secured financings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PaymentOfFeesOnSecuredFinancings_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payment of Fees on Secured Financings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PaymentOfFeesOnSecuredFinancings_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Payment of Fees on Secured Financings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Disclosures [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Measurements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RatioOfTotalDebtToEquityRatioShallNotExceed_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ratio of total debt to equity ratio shall not exceed</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RatioOfTotalDebtToEquityRatioShallNotExceed_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Ratio of Total Debt to Equity Ratio shall not Exceed</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RatioOfTotalDebtToEquityRatioShallNotExceed_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Ratio of total debt to equity ratio shall not exceed.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAndOtherLeaseValuesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">In Place and Other Lease Values [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAndOtherLeaseValuesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">In place and other lease values.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">In-place and other lease values amortization income year two.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/label">In-Place and Other Lease Values Amortization Income Year Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2028</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FairValueMarketCapitalizationRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Market Capitalization Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FairValueMarketCapitalizationRate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair value market capitalization rate.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FairValueMarketCapitalizationRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value market capitalization rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RepaymentOfLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Repayments of loans receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RepaymentOfLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repayments of loans receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RepaymentOfLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayment Of Loans Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RepaymentOfLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Repayment of loans receivable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndDebtExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest and Debt Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndDebtExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total interest and related expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WeightedAverageAmortizationPeriodForInPlaceAndOtherLeaseIntangibles_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Amortization Period for In-Place and Other Lease Intangibles</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WeightedAverageAmortizationPeriodForInPlaceAndOtherLeaseIntangibles_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Weighted average amortization period for in-place and other lease intangibles.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WeightedAverageAmortizationPeriodForInPlaceAndOtherLeaseIntangibles_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted average amortization period for in-place lease values</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OfficeBuildingOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Office</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OfficeBuildingOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Office Building One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OfficeBuildingOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Office building one.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ManagementFeeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Management Fee Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ManagementFeeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Management fees - affiliate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ManagementFeeExpense_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Management fees - affiliate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ManagementFeeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Management fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ManagementFeeExpense_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Management fee</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableNetReportedAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans receivable held-for-investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableNetReportedAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Loans receivable held-for-investment, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableNetReportedAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable net reported amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableNetReportedAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Carrying value of loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableNetReportedAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Carrying Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_UnfundedLoanCommitmentLoanPortfolio_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unfunded loan commitments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_UnfundedLoanCommitmentLoanPortfolio_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unfunded Loan Commitment Loan Portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_UnfundedLoanCommitmentLoanPortfolio_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Unfunded loan commitment loan portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedInFiscalYearBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Year Two, Originated, Fiscal Year before Current Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedInFiscalYearBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Year 2</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CollateralAssetGrossSalesPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collateral Asset Gross Sales Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CollateralAssetGrossSalesPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Collateral asset for a gross sales price.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CollateralAssetGrossSalesPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Collateral asset gross sales price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeContractTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Contract [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">In-place and other lease values amortization income year three.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/label">In-Place and Other Lease Values Amortization Income Year Three</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2029</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableHeldForInvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Loans receivable held-for-investment, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableHeldForInvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Held-for-investment, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableHeldForInvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable held-for-investment, net.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities Excluded from Computation of Earnings Per Share, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dilutive securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_CounterpartyNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Counterparty Name [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_CounterpartyNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Counterparty Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableAllowanceForCreditLossReservePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableAllowanceForCreditLossReservePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Allowance For Credit Loss Reserve Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableAllowanceForCreditLossReservePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable allowance for credit loss reserve percentage.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeCapInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Notional amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeCapInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maximum interest rate of debt related to real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeCapInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative, Cap Interest Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfOperatingSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of operating segments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfOperatingSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of Operating Segments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BasisOfPresentationAndPrinciplesOfConsolidationPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Basis of Presentation and Principles of Consolidation.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BasisOfPresentationAndPrinciplesOfConsolidationPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Basis Of Presentation And Principles Of Consolidation Policy [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BasisOfPresentationAndPrinciplesOfConsolidationPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Basis of Presentation and Principles of Consolidation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ConcentrationOfRiskMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Concentration of Risk [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ConcentrationOfRiskMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Of Risk [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ConcentrationOfRiskMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Concentration of Risk</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AmortizationOfLeaseIntangibles_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization Of Lease Intangibles</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AmortizationOfLeaseIntangibles_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amortization of lease intangibles.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Remaining number of shares that may be issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Shares Available for Grant</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LossOnRealEstateOwnedHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loss on Real Estate Owned Held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LossOnRealEstateOwnedHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loss on real estate owned held-for-sale.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LossOnRealEstateOwnedHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Loss on real estate owned held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LossOnRealEstateOwnedHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loss on real estate owned held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateDebtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The fair value amount of debt related to real estate owned.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateDebtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Debt Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateDebtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt related to real estate owned hotel portfolio, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StraightLineRent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Straight Line Rent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StraightLineRent_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Straight-line rent adjustment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ReceivableTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Receivable [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ReceivableTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfAboveAndBelowMarketLeases_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization of above and below Market Leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfAboveAndBelowMarketLeases_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Amortization of above and below market lease values, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfAboveAndBelowMarketLeases_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Amortization of above and below market lease values, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfAboveAndBelowMarketLeases_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Amortization of above and below market leases, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfAboveAndBelowMarketLeases_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortization of above and below market leases, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ChargeOffs_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Charge-offs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ChargeOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Charge offs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ChargeOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Charge Offs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ChargeOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Charge-offs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CashAndRestrictedCashAcquiredFromForeclosuresOfRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash And Restricted Cash Acquired From Foreclosures Of Real Estate Owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CashAndRestrictedCashAcquiredFromForeclosuresOfRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Cash and restricted cash acquired from foreclosures of real estate owned.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CashAndRestrictedCashAcquiredFromForeclosuresOfRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash and restricted cash acquired from foreclosures on real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfCommonStockOutstandingRollForwardTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Common Stock Outstanding Roll Forward [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfCommonStockOutstandingRollForwardTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Common Stock Issued and Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AdvancesOnExistingLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Advances on existing loans.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AdvancesOnExistingLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Advances On Existing Loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AdvancesOnExistingLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Advances on existing loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PropertyTypeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Property type member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PropertyTypeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property Type [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PropertyTypeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProceedsNetOfTransactionCostsProrationsAndCredits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds, Net of Transaction Costs, Prorations, and Credits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProceedsNetOfTransactionCostsProrationsAndCredits_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Proceeds, net of transaction costs, prorations, and credits.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProceedsNetOfTransactionCostsProrationsAndCredits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds, net of transaction costs, prorations, and credits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ConversionOfFullyVestedRsusToCommonShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion of Fully Vested RSUs to Common Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ConversionOfFullyVestedRsusToCommonShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Conversion of fully vested RSUs to common shares.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ConversionOfFullyVestedRsusToCommonShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shares of common stock delivered</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestsInLoansReceivablePortfolioMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interests in loans receivable portfolio.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestsInLoansReceivablePortfolioMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interests In Loans Receivable Portfolio [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestsInLoansReceivablePortfolioMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interests In Loans Receivable Portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share Based Compensation Arrangement By Share Based Payment Award [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WeightedAverageLoansReceivableYTMPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Weighted average loans receivable yield to maturity percentage.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WeightedAverageLoansReceivableYTMPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Loans Receivable Y T M Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WeightedAverageLoansReceivableYTMPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Weighted average yield to maturity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Recognized Identifiable Assets Acquired And Liabilities Assumed Equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business combination recognized identifiable assets acquired and liabilities assumed equity.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyRealEstateOwnedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Multifamily Real Estate Owned [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyRealEstateOwnedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Multifamily real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyRealEstateOwnedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Multifamily Real Estate Owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Maturity, Year Five</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2030</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansReceivableHeldForSaleAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Held-For-Sale Carrying Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansReceivableHeldForSaleAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Held-for-Sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansReceivableHeldForSaleAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan receivable held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_JPMorganChaseBankNASideCarMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">JP Morgan Chase Bank N A Side Car.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_JPMorganChaseBankNASideCarMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">J P Morgan Chase Bank N A Side Car [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_JPMorganChaseBankNASideCarMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">JP Morgan Chase Bank NA Side Car [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtRelatedToRealEstateOwnedHotelPortfolioNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Related To Real Estate Owned Hotel Portfolio Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtRelatedToRealEstateOwnedHotelPortfolioNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt related to real estate owned hotel portfolio net.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtRelatedToRealEstateOwnedHotelPortfolioNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt related to real estate owned hotel portfolio, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermDebtLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Debt [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShortTermDebtTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Debt [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputDiscountRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input, Discount Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputDiscountRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Discount Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedFourYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Year Five, Originated, Four Years before Current Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedFourYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Year 5</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RemainingLoanHeldUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Remaining Loan Held Unpaid Principal Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RemainingLoanHeldUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Remaining loan held unpaid principal balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RemainingLoanHeldUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Remaining loan held unpaid principal balance.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PercentageOfRecourseIndebtedness_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of recourse indebtedness</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PercentageOfRecourseIndebtedness_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of Recourse Indebtedness</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PercentageOfRecourseIndebtedness_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of recourse indebtedness.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NonAccrualLoansSpecificCeclReserve_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Specific CECL Reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NonAccrualLoansSpecificCeclReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Non Accrual Loans Specific CECL Reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NonAccrualLoansSpecificCeclReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Non accrual loans specific CECL reserve.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NonEmployeeBoardMembersMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-Employee Board Members</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NonEmployeeBoardMembersMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Non-Employee Board Members [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NonEmployeeBoardMembersMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Non-Employee Board Members.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_VariableLoanOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Variable Loan One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_VariableLoanOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Variable loan one.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_VariableLoanOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Variable Loan One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsCommonStock_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Dividends declared</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends, Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividends declared - common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Dividends, Common Stock, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Dividends declared</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentType_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentType_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ClarosMortgageTrustMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">CMTG/TT member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ClarosMortgageTrustMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Claros Mortgage Trust [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ClarosMortgageTrustMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Claros Mortgage Trust</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_NY_lbl" xlink:role="http://www.xbrl.org/2003/role/label">NEW YORK</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_NY_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">NY</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_NY_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">NEW YORK [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInPlaceAboveMarket_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">In-place lease values</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInPlaceAboveMarket_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Recognized Identifiable Assets Acquired And Liabilities Assumed In Place Above Market</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInPlaceAboveMarket_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business combination recognized identifiable assets acquired and liabilities assumed in place above market.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LongTermDebtInitialMaturity_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Long term debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LongTermDebtInitialMaturity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long Term Debt Initial Maturity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LongTermDebtInitialMaturity_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Long term debt initial maturity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Owned Held-For-Sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Real estate owned held-for-sale.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TermParticipationFacilityUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Term participation facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TermParticipationFacilityUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Term Participation Facility Unpaid Principal Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TermParticipationFacilityUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Termparticipationfacilityunpaidprincipalbalance.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Operating Activity, Including Discontinued Operation [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash flows from operating activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingCodmIndividualTitleAndPositionOrGroupOrCommitteeNameExtensibleEnumeration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting, CODM, Individual Title and Position or Group Name [Extensible Enumeration]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUsePropertyFixedRentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mixed-Use Property Fixed Rents [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUsePropertyFixedRentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mixed-use property fixed rents.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUsePropertyFixedRentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mixed-Use Property Fixed Rents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Liabilities and Equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities and Equity [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Liabilities and Members' Capital</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEquityMethodInvestmentsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investment [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subsequent Event</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TransferToHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Transfer to Held-for-Sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TransferToHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Transfer to Held-for-Sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TransferToHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Transfer to held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AboveMarketLeaseAmortizationIncomeRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Above Market Lease Amortization Income Remainder of Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AboveMarketLeaseAmortizationIncomeRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Above market lease amortization income remainder of fiscal year.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AboveMarketLeaseAmortizationIncomeRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2026</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NotesPayableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Notes Payable [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NotesPayableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Notes Payable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NotesPayableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Notes Payable [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MortgageLoansOnRealEstateCommercialAndConsumerPercentageOfPortfolio_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mortgage loans on real estate, commercial and consumer, percentage of portfolio.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MortgageLoansOnRealEstateCommercialAndConsumerPercentageOfPortfolio_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mortgage Loans On Real Estate Commercial And Consumer Percentage Of Portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MortgageLoansOnRealEstateCommercialAndConsumerPercentageOfPortfolio_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">% of Total of Unpaid Principal Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SecuritiesSoldUnderAgreementsToRepurchaseFairValueOfCollateral_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Securities Sold under Agreements to Repurchase, Fair Value of Collateral</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SecuritiesSoldUnderAgreementsToRepurchaseFairValueOfCollateral_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repurchase agreements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InternalCreditAssessmentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Internal Credit Assessment [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InternalCreditAssessmentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Internal Credit Assessment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableHeldForInvestmentCurrentExpectedCreditLossReserve_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Less: current expected credit loss reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableHeldForInvestmentCurrentExpectedCreditLossReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Held-for-investment, Current Expected Credit Loss Reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableHeldForInvestmentCurrentExpectedCreditLossReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable held-for-investment, current expected credit loss reserve.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableHeldForInvestmentCurrentExpectedCreditLossReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan receivable held for sale charge off</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">In-place and other lease values amortization income year four.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/label">In-Place and Other Lease Values Amortization Income Year Four</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2030</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromSaleOfRealEstate_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Sale of hotel, gross sales price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromSaleOfRealEstate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sale price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromSaleOfRealEstate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Sale of Real Estate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_GeneralCurrentExpectedCreditLossAllowance_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">General CECL reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_GeneralCurrentExpectedCreditLossAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">General current expected credit loss allowance.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_GeneralCurrentExpectedCreditLossAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">General Current Expected Credit Loss Allowance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_GeneralCurrentExpectedCreditLossAllowance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">General CECL Allowance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedHeld-For-InvestmentNet_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedPeriodStartLabel">Total, Real Estate Owned Held-for-Investment, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedHeld-For-InvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Owned Held-for-Investment, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedHeld-For-InvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Real estate owned held-for-investment, net.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedHeld-For-InvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Total, Real Estate Owned Held-for-Investment, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedHeld-For-InvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Total, Real Estate Owned Held-for-Investment, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedTwoYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Year Three, Originated, Two Years before Current Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedTwoYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Year 3</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancialAssetsSoldUnderAgreementToRepurchaseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Repurchase Agreements and Term Participation Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancialAssetsSoldUnderAgreementToRepurchaseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repurchase agreements and term participation facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancialAssetsSoldUnderAgreementToRepurchaseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Assets Sold under Agreement to Repurchase [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityFileNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Securities Act File Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityFileNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity File Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RemainingCapitalCommitment_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Remaining Capital Commitment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RemainingCapitalCommitment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Remaining capital commitment.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RemainingCapitalCommitment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Remaining Capital Commitment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RemainingCapitalCommitment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Remaining capital commitment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ReimbursementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reimbursements.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ReimbursementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reimbursements [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ReimbursementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reimbursements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentBorrowingOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument borrowing outstanding.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentBorrowingOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Borrowing Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentBorrowingOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Borrowing Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentBorrowingOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Borrowings Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DallasTXMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dallas TX [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DallasTXMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Dallas TX.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DallasTXMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dallas,TX</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanCommitment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan Commitment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanCommitment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan commitment.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanCommitment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Commitment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanCommitment_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Total loan commitment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Retained Earnings [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accumulated Deficit [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted Average Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentTerm_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Maturity period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityRegistrantName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Registrant Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityRegistrantName_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Entity Registrant Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainLossOnDispositionOfRealEstateDiscontinuedOperations_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Gain on sales of real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainLossOnDispositionOfRealEstateDiscontinuedOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">sss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainLossOnDispositionOfRealEstateDiscontinuedOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gain (Loss) on Disposition of Real Estate, Discontinued Operations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainLossOnDispositionOfRealEstateDiscontinuedOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Gain (loss) on sales of real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountingPoliciesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounting Policies [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Depreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Depreciation on real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Depreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Depreciation expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Depreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Depreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Depreciation, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubstandardMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Substandard [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubstandardMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Risk Rating Three</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubstandardMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Risk Rating 3</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProfitLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net income (loss)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProfitLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Income (Loss), Including Portion Attributable to Noncontrolling Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProfitLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProfitLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NumberOfHotelsHeldInPortfolio_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of hotels held in portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NumberOfHotelsHeldInPortfolio_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Hotels Held In Portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NumberOfHotelsHeldInPortfolio_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of hotels held in portfolio.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SellingGeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Selling, General and Administrative Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SellingGeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">General and administrative expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SellingGeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Selling, General and Administrative Expense, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LandMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Land</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LandMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Land [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LandMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Land [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableCarryingValueGrossSpecificReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Carrrying Value Before Specific CECL Reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableCarryingValueGrossSpecificReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Carrying Value Gross Specific Reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableCarryingValueGrossSpecificReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable carrying value gross specific reserve.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Multifamily One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Multifamily one.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Multifamily</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfInPlaceAndOtherLeaseIntangiblesAboveMarketLeaseAndBelowMarketLeaseEstimatedFutureAmortizationTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Estimated Amortization of Intangibles for Next Five Years</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfInPlaceAndOtherLeaseIntangiblesAboveMarketLeaseAndBelowMarketLeaseEstimatedFutureAmortizationTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of In-Place and Other Lease Intangibles, Above Market Lease and Below Market Lease Estimated Future Amortization [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfInPlaceAndOtherLeaseIntangiblesAboveMarketLeaseAndBelowMarketLeaseEstimatedFutureAmortizationTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of in-place and other lease intangibles, above market lease and below market lease estimated future amortization.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressAddressLine1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, Address Line One</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CurrentExpectedCreditLossesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Current Expected Credit Losses Policy [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CurrentExpectedCreditLossesPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current Expected Credit Losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnlikelyToBeCollectedFinancingReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unlikely to be Collected Financing Receivable [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnlikelyToBeCollectedFinancingReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Risk Rating Five</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnlikelyToBeCollectedFinancingReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Risk Rating 5</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DistributableLossEarnings_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Distributable (Loss) Earnings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DistributableLossEarnings_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Distributable (Loss) Earnings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DistributableLossEarnings_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Distributable (loss) earnings.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DistributableLossEarnings_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Distributable Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AllowanceForCreditLossesOnLoanReceivablesTabletextblock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Activity In Allowance For Loan Losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AllowanceForCreditLossesOnLoanReceivablesTabletextblock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Allowance For Credit Losses On Loan Receivables [TableTextBlock]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AllowanceForCreditLossesOnLoanReceivablesTabletextblock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Allowance for credit losses on loan receivables.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Liability Assumed, Liability [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanAccruedInterestReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued interest receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanAccruedInterestReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Accrued Interest Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanAccruedInterestReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan accrued interest receivable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_IncentiveFeeRate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The rate at which incentive fees are charged as per the management agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_IncentiveFeeRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Incentive Fee Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_IncentiveFeeRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Incentive fee rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FurnitureAndFixturesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Furniture and Fixtures [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FurnitureAndFixturesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Furniture, Fixtures and Equipment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Recurring and Nonrecurring [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Assets And Liabilities Measured On Recurring And Nonrecurring Basis [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TermParticipationFacility_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Term participation facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TermParticipationFacility_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Term Participation Facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TermParticipationFacility_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Term Participation Facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementBusinessSegmentsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segments [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfSecuredDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance of Secured Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfSecuredDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from secured financings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CapitalExpendituresOnRealEstateOwnedHeldForSale_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Capital Expenditures On Real Estate Owned Held For Sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CapitalExpendituresOnRealEstateOwnedHeldForSale_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Capital expenditures on real estate owned held for sale.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CapitalExpendituresOnRealEstateOwnedHeldForSale_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Capital expenditures on real estate owned held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LossContingenciesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loss Contingencies [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LossContingenciesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loss Contingencies [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoansReceivableAllowanceForCreditLossesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Loans Receivable Allowance for Credit Losses [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoansReceivableAllowanceForCreditLossesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of loans receivable allowance for credit losses.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainsLossesOnSalesOfInvestmentRealEstate_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Gain on sales of real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainsLossesOnSalesOfInvestmentRealEstate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gain on sales of real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainsLossesOnSalesOfInvestmentRealEstate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gains (Losses) on Sales of Investment Real Estate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalCashFlowInformationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Supplemental Cash Flow Information [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalCashFlowInformationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Supplemental disclosure of cash flow information:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_GainLossOnRealEstateOwnedHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gain Loss on Real Estate Owned Held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_GainLossOnRealEstateOwnedHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Gain loss on real estate owned held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_GainLossOnRealEstateOwnedHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Loss on real estate owned held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MultifamilyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Multifamily [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MultifamilyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Multifamily</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transactions Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related Party Transactions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntitySmallBusiness_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Small Business</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntitySmallBusiness_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Small Business</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromSaleOfLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Net Sale Proceeds</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromSaleOfLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Sale of Loans Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromSaleOfLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Proceeds from sales of loans receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromSaleOfLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan gross sales price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfAccountsNotesAndLoansReceivableTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Accounts Notes And Loans Receivable [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfAccountsNotesAndLoansReceivableTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of accounts notes and loans receivable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfAccountsNotesAndLoansReceivableTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Loan Receivable Held-for-Investment Portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyPropertiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Multifamily Properties [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyPropertiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Multifamily properties member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyPropertiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Multifamily Properties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_EquityMethodInvesteeNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment, Name [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MortgageLoansOnRealEstateCommercialAndConsumerPercentageOfCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">% of Total of Carrying Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MortgageLoansOnRealEstateCommercialAndConsumerPercentageOfCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mortgage Loans on Real Estate Commercial and Consumer Percentage of Carrying Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MortgageLoansOnRealEstateCommercialAndConsumerPercentageOfCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mortgage loans on real estate commercial and consumer percentage of carrying value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestIncomeExpenseNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net interest income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestIncomeExpenseNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Income (Expense), Operating</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_IncreaseDecreaseInManagementFeePayableAffiliate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Increase decrease in management fee payable affiliate.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_IncreaseDecreaseInManagementFeePayableAffiliate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase Decrease In Management Fee Payable Affiliate</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AmortizationOfFinancingCostsIncludedInInterestExpenseOnDebtRelatedToRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization of Financing Costs Included in Interest Expense on Debt Related To Real Estate Owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AmortizationOfFinancingCostsIncludedInInterestExpenseOnDebtRelatedToRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amortization of Financing Costs Included in Interest Expense on Debt Related To Real Estate Owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-Average Grant Date Fair Value Per Share, Unvested Forfeited</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Forfeitures, Weighted Average Grant Date Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable unpaid principal balance.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans receivable unpaid principal balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unpaid principal balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Unpaid Principal Balance Before Principal Charge-Off / Valuation Allowance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AdditionalLoansReceivableDiscountedLoanPayOff_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Loans Receivable Discounted Loan Pay Off</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AdditionalLoansReceivableDiscountedLoanPayOff_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Additional Loans Receivable Discounted Loan Pay Off</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AdditionalLoansReceivableDiscountedLoanPayOff_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional loans receivable discounted loan pay off</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_UnlikelyToBeCollectedFinancingReceivableOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Risk Rating 5</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_UnlikelyToBeCollectedFinancingReceivableOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Unlikely to be collected financing receivable one.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_UnlikelyToBeCollectedFinancingReceivableOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unlikely To Be Collected Financing Receivable One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueConcentrationOfRiskDisclosureItemsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration of Credit or Market Risk [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueConcentrationOfRiskDisclosureItemsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Concentration of Credit or Market Risk</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongtermDebtTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Asset Acquired, Asset [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Assets</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableNetOfSpecificCECLReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans receivable held-for-investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableNetOfSpecificCECLReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Net of Specific C E C L Reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableNetOfSpecificCECLReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable net of specific cecl reserve.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableNetOfSpecificCECLReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net of a specific CECL reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUsePropertyVariableRentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mixed-Use Property Variable Rents [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUsePropertyVariableRentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mixed-Use property variable rents.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUsePropertyVariableRentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mixed-Use Property Variable Rents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfDebtInstrumentRealEstateOwnedNetTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule, Debt Instrument, Real Estate Owned, Net Table.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfDebtInstrumentRealEstateOwnedNetTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Debt Instrument Real Estate Owned Net [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfDebtInstrumentRealEstateOwnedNetTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Debt Instrument Real Estate Owned Net [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtWeightedAverageRecourseRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt weighted average recourse rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtWeightedAverageRecourseRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Weighted Average Recourse Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtWeightedAverageRecourseRate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt weighted average recourse rate.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Other Assets, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TwoThousandNineteenLoanOriginationCommitmentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Nineteen Loan Origination Commitments [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TwoThousandNineteenLoanOriginationCommitmentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Two thousand nineteen loan origination commitments.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TwoThousandNineteenLoanOriginationCommitmentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan Originated 2019</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableUnpaidPrincipalBalanceMaturityDefault_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable unpaid principal balance maturity default.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableUnpaidPrincipalBalanceMaturityDefault_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Unpaid Principal Balance Maturity Default</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableUnpaidPrincipalBalanceMaturityDefault_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unpaid principal balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDebtInstrumentsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Long-Term Debt Instruments [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDebtInstrumentsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Secured Term Loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableNumberOfAdditionalLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of additional loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableNumberOfAdditionalLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Number Of Additional Loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableNumberOfAdditionalLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable number of additional loans.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long Term Debt Initial Maturities Repayments of Principal in Year Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Long Term Debt Initial Maturities Repayments of Principal in Year Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2027</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investments and Joint Ventures Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity Method Investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BarclaysBankPLCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Barclays Bank PLC.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BarclaysBankPLCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Barclays Bank P L C [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BarclaysBankPLCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Barclays Bank PLC [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AdditionalProvisionOfLoansReceivableReversalOfGeneralCeclReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional provision of loans receivable reversal of general CECL reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AdditionalProvisionOfLoansReceivableReversalOfGeneralCeclReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Provision of Loans Receivable Reversal Of General Cecl Reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AdditionalProvisionOfLoansReceivableReversalOfGeneralCeclReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Additional provision of loans receivable reversal of general cecl reserve.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableHeldForInvestmentUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable held for investment unpaid principal balance.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableHeldForInvestmentUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Held For Investment Unpaid Principal Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableHeldForInvestmentUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans receivable held-for-investment, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net Loss per share of common stock:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TransferToHeld-For-SaleAccumulatedDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Transfer to Held-for-Sale, Accumulated Depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TransferToHeld-For-SaleAccumulatedDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Transfer to Held-for-Sale, Accumulated Depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TransferToHeld-For-SaleAccumulatedDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Transfer to held-for-sale, Accumulated Depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PreviouslyRecognizedDepreciationAndAmortizationOnRealEstateOwnedHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Previously Recognized Depreciation and Amortization on Real Estate Owned held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PreviouslyRecognizedDepreciationAndAmortizationOnRealEstateOwnedHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Previously recognized depreciation and amortization on real estate owned held-for-sale.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PreviouslyRecognizedDepreciationAndAmortizationOnRealEstateOwnedHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Previously recognized depreciation and amortization on real estate owned held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PreviouslyRecognizedDepreciationAndAmortizationOnRealEstateOwnedHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Previously recognized depreciation and amortization on real estate owned held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SummaryOfNotesPayableTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Summary of notes payable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SummaryOfNotesPayableTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Summary Of Notes Payable Table [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SummaryOfNotesPayableTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Notes Payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mortgage Loans on Real Estate, Commercial and Consumer, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Carrying Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Mortgage Loans on Real Estate, Commercial and Consumer, Net, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_BankLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Broker-Dealer, Bank Loan, Short-Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_BankLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Secured term loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NotesPayableUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Notes payable, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NotesPayableUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Notes payable unpaid principal balance.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NotesPayableUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Notes Payable Unpaid Principal Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansNetOfDeferredFeesAndSpecificAllowances_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansNetOfDeferredFeesAndSpecificAllowances_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansNetOfDeferredFeesAndSpecificAllowances_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Net Of Deferred Fees And Specific Allowances</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansNetOfDeferredFeesAndSpecificAllowances_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans net of deferred fees and specific allowances.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PlanNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Plan Name [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PlanNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Plan Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BelowMarketLeaseAmortizationIncomeAfterYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Below market lease amortization income after year four.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BelowMarketLeaseAmortizationIncomeAfterYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Below Market Lease Amortization Income After Year Four</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BelowMarketLeaseAmortizationIncomeAfterYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Thereafter</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Multifamily</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Multifamily Two [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Multifamily Two.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableReversalOfGeneralCeclReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans receivable reversal of general Cecl reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableReversalOfGeneralCeclReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Reversal Of General Cecl Reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableReversalOfGeneralCeclReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans Receivable Reversal Of General Cecl Reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OriginalIssueDiscountAndDeferredFinancingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Original Issue Discount and Deferred Financing Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OriginalIssueDiscountAndDeferredFinancingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Original issue discount and deferred financing costs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OriginalIssueDiscountAndDeferredFinancingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Original issue discount and deferred financing costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndFeeIncomeLoansAndLeases_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest and Fee Income, Financing Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndFeeIncomeLoansAndLeases_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Interest and Fee Income, Loans and Leases, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndFeeIncomeLoansAndLeases_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Financing Activity, Including Discontinued Operation [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash flows from financing activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfDebtDiscountPremium_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortization of discount on secured term loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfDebtDiscountPremium_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization of Debt Discount (Premium)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfDebtDiscountPremium_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Amortization of discount on secured term loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AccretionOfOriginationFeesAndDiscountsOnLoansReceivableNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accretion of fees and discounts</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AccretionOfOriginationFeesAndDiscountsOnLoansReceivableNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accretion of origination fees and discounts on loans receivable net.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AccretionOfOriginationFeesAndDiscountsOnLoansReceivableNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accretion Of Origination Fees and Discounts On Loans Receivable Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SettlementOfLoansReceivableInForeclosuresOfRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Settlement Of Loans Receivable In Foreclosures Of Real Estate Owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SettlementOfLoansReceivableInForeclosuresOfRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Settlement of loans receivable in foreclosures of real estate owned.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SettlementOfLoansReceivableInForeclosuresOfRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Settlement of loans receivable in foreclosures on real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfIncomeLossBeforeIncomeTaxesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of Income (Loss) Before Income Taxes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfIncomeLossBeforeIncomeTaxesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Income Loss Before Income Taxes [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfIncomeLossBeforeIncomeTaxesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Income Loss Before Income Taxes [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndDividendIncomeOperating_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest and Dividend Income, Operating</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndDividendIncomeOperating_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest and related income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestAndDividendIncomeOperating_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Interest and Dividend Income, Operating, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MembersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Members' Equity [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MembersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Members' Capital</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityTaxIdentificationNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Tax Identification Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityTaxIdentificationNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Tax Identification Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_O2026Q3DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">O 2026 Q3 Dividends [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_O2026Q3DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">O 2026 Q3 Dividends.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivablePercentageOfUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable percentage of unpaid principal balance.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivablePercentageOfUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Percentage of Unpaid Principal Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivablePercentageOfUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of unpaid principal balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivablePercentageOfUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Loans receivable percentage of unpaid principal balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SpecificCECLReserveOnAccruedInterestReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Specific C E C L reserve on accrued interest receivable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SpecificCECLReserveOnAccruedInterestReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Specific C E C L Reserve On Accrued Interest Receivable [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SpecificCECLReserveOnAccruedInterestReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued Interest Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeInstrumentRiskAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Instrument [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityComponentDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Component [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityComponentDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity Component</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedSevenOrMoreYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Year 8</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedSevenOrMoreYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Originated Seven Or More Years Before Latest Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedSevenOrMoreYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable originated seven or more years before latest fiscal year.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressCityOrTown_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, City or Town</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressCityOrTown_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, City or Town</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableAllowanceForCreditLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Total current expected credit loss reserve, Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableAllowanceForCreditLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Total current expected credit loss reserve, Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableAllowanceForCreditLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Allowance For Credit Losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableAllowanceForCreditLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan Receivable Allowance For Credit Losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepurchaseAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repurchase Agreements [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepurchaseAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repurchase Agreements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input Type [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Finite-Lived Intangible Assets [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Intangible Asset, Finite-Lived [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_CO_lbl" xlink:role="http://www.xbrl.org/2003/role/label">COLORADO</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_CO_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">CO</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Maturity, Year One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Long Term Debt Full Maturities Repayments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2026</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUseLifeScienceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mixed Use Life Science</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUseLifeScienceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mixed Use Life Science [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUseLifeScienceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mixed-Use Life Science</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segments [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Common Stock, Shares Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Common Stock, Shares Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity method investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Equity method investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAccumulatedAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Below Market Lease, Accumulated Amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAccumulatedAmortization_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Less: accumulated amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAccumulatedAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Less: accumulated amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_GrossProceedsFromSaleOfLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gross Proceeds from Sale of Loans Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_GrossProceedsFromSaleOfLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Gross proceeds from sale of loans receivable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_GrossProceedsFromSaleOfLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gross proceeds from sale of loans receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDebtTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Debt [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDebtTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Interest Expense and Amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_UnfundedLoanCommitmentSold_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unfunded Loan Commitment Sold</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_UnfundedLoanCommitmentSold_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Unfunded loan commitment sold.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_UnfundedLoanCommitmentSold_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unfunded loan commitment sold</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MidwestMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Midwest member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MidwestMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Midwest [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MidwestMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Midwest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentFloorRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Floor Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentFloorRate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument floor rate.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentFloorRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument floor rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableSoldCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Sold Carrying Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableSoldCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable sold carrying amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableSoldCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans Receivable Sold Carrying value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Security, Excluded EPS Calculation [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CashBasisIncomeFromNonAccrualLoanRepayment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Basis Income From Non Accrual Loan Repayment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CashBasisIncomeFromNonAccrualLoanRepayment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Cash basis income from non-accrual loan repayment.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CashBasisIncomeFromNonAccrualLoanRepayment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash basis income from non-accrual loan repayment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ForSaleCondoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">For sale condo. member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ForSaleCondoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">For Sale Condo [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ForSaleCondoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">For Sale Condo</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByMeasurementBasisAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Basis [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByMeasurementBasisAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Measurement Basis</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableAllowanceForCreditLossesChargeOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Allowance For Credit Losses Charge-Offs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableAllowanceForCreditLossesChargeOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans Receivable Allowance For Credit Losses Charge-Offs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableAllowanceForCreditLossesChargeOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Principal charge-offs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableAllowanceForCreditLossesChargeOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Charge-offs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainLossOnSaleOfNotesReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gain (Loss) on Sale of Financing Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainLossOnSaleOfNotesReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Incremental loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainLossOnSaleOfNotesReceivable_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Incremental loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Outstanding, Diluted [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average shares of common stock outstanding:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TangibleNetworthAsOfMeasurementDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Tangible Networth as of Measurement Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TangibleNetworthAsOfMeasurementDate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Tangible networth as of measurement date.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TangibleNetworthAsOfMeasurementDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Tangible networth as of measurement date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PercentageOfAggregateCashProceedsFromEquityIssuancesCapitalContributionsAndSubscriptionsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of Aggregate Cash Proceeds from Equity Issuances, Capital Contributions and Subscriptions, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PercentageOfAggregateCashProceedsFromEquityIssuancesCapitalContributionsAndSubscriptionsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of aggregate cash proceeds from equity issuances, capital contributions and subscriptions, net.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PercentageOfAggregateCashProceedsFromEquityIssuancesCapitalContributionsAndSubscriptionsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of aggregate cash proceeds from equity issuances, capital contributions and subscriptions, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NoncashAdvancesOnSecuredFinancingsInLieuOfInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Noncash advances on secured financings in lieu of interest.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NoncashAdvancesOnSecuredFinancingsInLieuOfInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Noncash Advances On Secured Financings In Lieu Of Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NoncashAdvancesOnSecuredFinancingsInLieuOfInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-cash advances on secured financings in lieu of interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ForeclosureOfMultifamilyPropertyIncludingCapitalizedTransactionCostsGrossCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Foreclosure of multifamily property including capitalized transaction costs, Gross Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ForeclosureOfMultifamilyPropertyIncludingCapitalizedTransactionCostsGrossCost_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Foreclosure of multifamily property including capitalized transaction costs, Gross Cost.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ForeclosureOfMultifamilyPropertyIncludingCapitalizedTransactionCostsGrossCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Foreclosure of multifamily property including capitalized transaction costs, Gross Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Statement [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedFourYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Originated Four Years Before Latest Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedFourYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable originated four years before latest fiscal year.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedFourYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Year 5</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock-based compensation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateOwnedTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real Estate Owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateOwnedTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Owned [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesSubscriptions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate sale price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesSubscriptions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Value, Subscriptions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_CA_lbl" xlink:role="http://www.xbrl.org/2003/role/label">CALIFORNIA</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_CA_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">CA</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityShellCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Shell Company</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityShellCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Shell Company</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TermParticipationFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Term Participation Facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TermParticipationFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Term participation facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TermParticipationFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Term Participation Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TermParticipationFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Term participation facility.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Investing Activity, Including Discontinued Operation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net cash used in investing activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net cash provided by investing activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Statement [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableNonAccrualCarryingValueRemainOnAccrualStatusMaturityDefault_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Nonaccrual carrying value remain on accrual status maturity default</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableNonAccrualCarryingValueRemainOnAccrualStatusMaturityDefault_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Non accrual Carrying Value Remain On Accrual Status Maturity Default</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableNonAccrualCarryingValueRemainOnAccrualStatusMaturityDefault_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable non accrual carrying value remain On accrual status maturity default.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Assets And Liabilities Measured On Recurring And Nonrecurring Basis [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Shares vested</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Vested in Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Number of Restricted Share Units, Vested</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Vested RSUs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MaximumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Maximum [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MaximumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maximum</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_VariableSeniorLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Variable Senior Loans.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_VariableSeniorLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Variable Senior Loans [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_VariableSeniorLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Variable Senior Loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SummaryOfFinancingsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Financings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SummaryOfFinancingsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Summary of Financings [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SummaryOfFinancingsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Summary of financings.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableSpecificReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Specific CECL Reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableSpecificReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Specific Reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableSpecificReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable specific reserve.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableSpecificReserve_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Specific CECL Reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedPortfolioMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Owned Portfolio [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedPortfolioMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Real estate owned portfolio.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedPortfolioMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">REO Portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockNameOfTransactionDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedInCurrentFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Originated In Current Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedInCurrentFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable originated in current fiscal year.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedInCurrentFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Year 1</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOtherOperatingLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Other Operating Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOtherOperatingLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOtherOperatingLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Increase (Decrease) in Other Operating Liabilities, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateOwnedValuationAllowancePeriodIncreaseDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Owned, Valuation Allowance, Period Increase (Decrease)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateOwnedValuationAllowancePeriodIncreaseDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Real Estate Owned, Valuation Allowance, Period Increase (Decrease), Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateOwnedValuationAllowancePeriodIncreaseDecrease_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Valuation adjustment for real estate owned held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfRepurchaseAgreementCounterpartyTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repurchase Agreement, Counterparty [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfRepurchaseAgreementCounterpartyTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Repurchase Agreement Counterparty [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionAcquireeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedFairValueOfAssetsAcquiredAndLiabilitiesAssumedTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Real estate owned fair value of assets acquired and liabilities assumed.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedFairValueOfAssetsAcquiredAndLiabilitiesAssumedTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Owned Fair Value of Assets Acquired And Liabilities Assumed [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedFairValueOfAssetsAcquiredAndLiabilitiesAssumedTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Allocated Fair Value of Assets Acquired and Liabilities Assumed</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Multifamily Loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Multifamily Loan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Multifamily Loan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TotalReturnSwapMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Total Return Swap [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TotalReturnSwapMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">TRS [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NoncashAdvancesToLoansReceivableInLieuOfInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Noncash advances to loans receivable in lieu of interest.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NoncashAdvancesToLoansReceivableInLieuOfInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Noncash Advances To Loans Receivable In Lieu Of Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NoncashAdvancesToLoansReceivableInLieuOfInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-cash advances on loans receivable in lieu of interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableSoldUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Sold Unpaid Principal Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableSoldUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable sold unpaid principal balance.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableSoldUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans Receivable Sold Unpaid Principal Balance Before Principal Charge-Off</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableWriteOffsOfAccruedInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Write Offs of Accrued Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableWriteOffsOfAccruedInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable write offs of accrued interest.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableWriteOffsOfAccruedInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principal charge-off of accrued interest receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfNonvestedRestrictedStockUnitsActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Nonvested Restricted Stock Units Activity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfNonvestedRestrictedStockUnitsActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Time-Based Restricted Stock Units Activity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentRedemptionPeriodDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Redemption, Period [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AddressTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Address Type [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsRelatedToTaxWithholdingForShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Payments for withholding taxes upon delivery of stock-based awards</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsRelatedToTaxWithholdingForShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Decrease for Tax Withholding Obligation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Events [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedDepreciationAndAmortizationExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Real estate owned depreciation and amortization expenses.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedDepreciationAndAmortizationExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Owned Depreciation and Amortization Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedDepreciationAndAmortizationExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Depreciation and amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsRelatedToTaxWithholdingForShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payment, Tax Withholding, Share-Based Payment Arrangement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsRelatedToTaxWithholdingForShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Payments for withholding taxes upon delivery of stock-based awards</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsRelatedToTaxWithholdingForShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Payments for withholding taxes upon delivery of stock-based awards</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-Average Grant Date Fair Value Per Share, Unvested Granted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period, Weighted Average Grant Date Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Grant date fair value per share (in usd per share)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivablePortfolioSegmentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable Portfolio Segment [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivablePortfolioSegmentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred Fees [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ParticipatingSecuritiesDistributedAndUndistributedEarningsLossBasic_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Participating securities' share in earnings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ParticipatingSecuritiesDistributedAndUndistributedEarningsLossBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Participating securities' share in earnings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ParticipatingSecuritiesDistributedAndUndistributedEarningsLossBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Participating Securities, Distributed and Undistributed Earnings (Loss), Basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredFinanceCostsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Issuance Costs, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredFinanceCostsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Debt Issuance Costs, Net, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredFinanceCostsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Transaction costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SecuredDebtRepurchaseAgreements_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Secured Debt, Repurchase Agreements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SecuredDebtRepurchaseAgreements_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repurchase agreements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SecuredDebtRepurchaseAgreements_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Borrowings Outstanding and Carrying Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WeightedAverageAnnualizedYieldPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted average annualized yield</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WeightedAverageAnnualizedYieldPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Annualized Yield Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WeightedAverageAnnualizedYieldPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Weighted average annualized yield percentage.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RepaymentsOfSecuredTermLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Repayments of secured term loan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RepaymentsOfSecuredTermLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayments Of Secured Term Loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RepaymentsOfSecuredTermLoan_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Repayments of secured term loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AmortizationOfFinancingCostsExcludingAmortizationOfFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortization of deferred financing costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AmortizationOfFinancingCostsExcludingAmortizationOfFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amortization of financing costs excluding amortization of fees.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AmortizationOfFinancingCostsExcludingAmortizationOfFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization Of Financing Costs Excluding Amortization Of Fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFiscalYearFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Fiscal Year Focus</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFiscalYearFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Fiscal Year Focus</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SubordinateLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Subordinate loans [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SubordinateLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subordinate Loans [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SubordinateLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subordinate loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfStockholdersEquityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Stockholders Equity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfStockholdersEquityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Deliveries of Common Stock Shares for Vested RSUs and Adjustment to Additional Paid-in Capital</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares, Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Ending balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Beginning balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity, Including Portion Attributable to Noncontrolling Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUsePropertyStraightLineRentAdjustmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mixed-use Property Straight-line Rent Adjustment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUsePropertyStraightLineRentAdjustmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mixed-use property straight-line rent adjustment.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUsePropertyStraightLineRentAdjustmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mixed-Use Property Straight-line Rent Adjustment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SecuredTermLoansFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair value portion of borrowing as secured term loans.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SecuredTermLoansFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Secured Term Loans Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SecuredTermLoansFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Secured term loan, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DepreciationAndAmortizationOnRealEstateOwnedInPlaceLeaseValuesAndDeferredLeasingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Depreciation And Amortization On Real Estate Owned And In Place Lease Values And Deferred Leasing Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DepreciationAndAmortizationOnRealEstateOwnedInPlaceLeaseValuesAndDeferredLeasingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Depreciation and amortization on real estate owned in place lease values and deferred leasing costs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DepreciationAndAmortizationOnRealEstateOwnedInPlaceLeaseValuesAndDeferredLeasingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Depreciation and amortization on real estate owned, in-place lease values, and deferred leasing costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentMaximumExtensionDate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt Instrument Maximum Extension Date.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentMaximumExtensionDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Maximum Extension Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentMaximumExtensionDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maximum Extension Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Instruments [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financial Instruments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeYearAfterYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">In-place and other lease values amortization income year after year four.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeYearAfterYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/label">In-Place and Other Lease Values Amortization Income Year After Year Four</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeYearAfterYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Thereafter</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PercentageOfREITTaxableIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of real estate investment trust taxable income.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PercentageOfREITTaxableIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage Of R E I T Taxable Income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PercentageOfREITTaxableIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of REIT taxable income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ScenarioForecastMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Forecast [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ScenarioForecastMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Scenario Forecast</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BuildingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Building [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BuildingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Building</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BuildingMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Building, Building Improvements, and Site Improvements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MidAtlanticMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mid Atlantic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MidAtlanticMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mid atlantic member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MidAtlanticMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mid Atlantic [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CommitmentAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Commitment amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CommitmentAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Commitment Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CommitmentAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Commitment Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Recognized Identifiable Assets Acquired And Liabilities Assumed Real Estate Owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business combination recognized identifiable assets acquired and liabilities assumed real estate owned.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedOperatingExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedOperatingExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Real estate owned operating expenses.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedOperatingExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Owned Operating Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedOperatingExpenses_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Operating expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_UT_lbl" xlink:role="http://www.xbrl.org/2003/role/label">UTAH</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_UT_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">UT</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestExpenseOnDebtRelatedToRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest on debt related to real estate owned.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestExpenseOnDebtRelatedToRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Expense On Debt Related To Real Estate Owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestExpenseOnDebtRelatedToRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest on Debt related to real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestExpenseOnDebtRelatedToRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Interest expense on debt related to real estate owned hotel portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long Term Debt Initial Maturities Repayments of Principal in Year Three</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Long term debt initial maturities repayments of principal in year three</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2028</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationAllowancesAndReservesTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">SEC Schedule, 12-09, Valuation Allowances and Reserves Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationAllowancesAndReservesTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">SEC Schedule, 12-09, Valuation Allowances and Reserves Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_SecurityExchangeName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Security Exchange Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_SecurityExchangeName_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Security Exchange Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedMaturityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessor, Operating Lease, Payment to be Received, Maturity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedMaturityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Future Minimum Fixed Rents under Non-Cancellable Leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ValuationAdjustmentForRealEstateOwnedHeldForSale_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Valuation Adjustment For Real Estate Owned Held For Sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ValuationAdjustmentForRealEstateOwnedHeldForSale_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Valuation adjustment for real estate owned held for sale.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ValuationAdjustmentForRealEstateOwnedHeldForSale_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Valuation adjustment for real estate owned held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Revenues_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total net revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Revenues_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenues</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfIncomeLossBeforeIncomeTaxesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of income (loss) before income taxes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfIncomeLossBeforeIncomeTaxesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Income Loss Before Income Taxes [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfIncomeLossBeforeIncomeTaxesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Income Loss Before Income Taxes [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">New Accounting Pronouncements, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recent Accounting Guidance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SecuritiesLoanedAndSecuritiesSoldUnderAgreementToRepurchaseGrossIncludingNotSubjectToMasterNettingArrangementAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Securities Loaned and Securities Sold under Agreement to Repurchase, Gross Including Not Subject to Master Netting Arrangement [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted Average Warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WarrantMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Warrant [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoansReceivablesPastDueLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Loans Receivables Past Due [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoansReceivablesPastDueLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of loans receivables past due.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments to Acquire Loans Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Paid to purchaser</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Warrant or Right, Exercise Price of Warrants or Rights</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exercise price of warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NumberOfHotelsSold_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number Of Hotels Sold</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NumberOfHotelsSold_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of hotels sold.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NumberOfHotelsSold_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of hotels sold</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProceedsFromCostRecoveryOfNonAccrualLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from cost recovery of non accrual loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProceedsFromCostRecoveryOfNonAccrualLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Proceeds from cost recovery of non accrual loan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ProceedsFromCostRecoveryOfNonAccrualLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds From Cost Recovery Of Non Accrual Loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressStateOrProvince_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, State or Province</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressStateOrProvince_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, State or Province</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedOperatingRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Total revenue from real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedOperatingRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount of real estate owned operating revenues.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedOperatingRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Owned Operating Revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedOperatingRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue from real estate owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrecognized compensation expense expected to recognized over a remaining period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LandLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Land loan member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LandLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Land Loan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LandLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Land</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LandLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Land Loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAboveMarketAndOtherLeaseIntangiblesAccumulatedAmortization_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Less: accumulated amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAboveMarketAndOtherLeaseIntangiblesAccumulatedAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/label">In-Place, Above Market, and Other Lease Intangibles, Accumulated Amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAboveMarketAndOtherLeaseIntangiblesAccumulatedAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">In-place, above market, and other lease intangibles, accumulated amortization.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentCovenantDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financing agreements, covenants description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentCovenantDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Covenant Description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AmendmentFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amendment Flag</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AmendmentFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amendment Flag</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LossContingenciesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loss Contingencies [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LossContingenciesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loss Contingencies [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock-Based Compensation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedHeld-For-SaleMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Owned Held-For-Sale [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedHeld-For-SaleMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Real Estate Owned Held-For-Sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateOwnedHeld-For-SaleMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Real Estate Owned Held-For-Sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceLeaseValuesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">In place lease values member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceLeaseValuesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">In Place Lease Values [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceLeaseValuesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">In Place Lease Values</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentAdditionalInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Additional Interest Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentAdditionalInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument additional interest rate.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentAdditionalInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt instrument additional interest rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansAndLeasesReceivableNumberOfContract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of Loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansAndLeasesReceivableNumberOfContract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans And Leases Receivable Number Of Contract</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansAndLeasesReceivableNumberOfContract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans and leases receivable number of contract.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Secured Overnight Financing Rate (SOFR)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Cash, cash equivalents and restricted cash, end of period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Continuing Operation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Cash, cash equivalents and restricted cash, end of period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Cash, cash equivalents and restricted cash, beginning of period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AccretionOfFeesAndDiscountsOnLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accretion of fees and discounts on loans receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AccretionOfFeesAndDiscountsOnLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accretion of fees and discounts on loans receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AccretionOfFeesAndDiscountsOnLoansReceivable_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Accretion of fees and discounts on loans receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentBorrowingsOutstandingRelatedToMultifamilyRealEstateOwnedAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Borrowings Outstanding Related To Multifamily Real Estate Owned Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentBorrowingsOutstandingRelatedToMultifamilyRealEstateOwnedAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument borrowings outstanding related to multifamily real estate owned assets.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentBorrowingsOutstandingRelatedToMultifamilyRealEstateOwnedAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Borrowings outstanding related to multifamily real estate owned assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivablePortfolioSegmentDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable Portfolio Segment [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivablePortfolioSegmentDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financing Receivable Portfolio Segment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_VariableLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Variable Loan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_VariableLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Variable Loan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_VariableLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Variable Loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CityAreaCode_lbl" xlink:role="http://www.xbrl.org/2003/role/label">City Area Code</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CityAreaCode_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">City Area Code</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InternalCreditAssessmentDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Internal Credit Assessment [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InternalCreditAssessmentDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Internal Credit Assessment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableDiscountedLoanPayOff_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Discounted Loan Pay Off</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableDiscountedLoanPayOff_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable discounted loan pay off.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableDiscountedLoanPayOff_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans receivable discounted loan pay off</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FinancingReceivabletransfertoRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Transfer to real estate owned, held-for-investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FinancingReceivabletransfertoRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing ReceivableTransferTo Real Estate Owned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FinancingReceivabletransfertoRealEstateOwned_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Financing receivable transfer to real estate owned.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Uncertain tax positions</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unrecognized Tax Benefits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefits_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Unrecognized Tax Benefits, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrecognizedTaxBenefits_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Unrecognized Tax Benefits, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Organization, Consolidation and Presentation of Financial Statements [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SiteImprovementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Site Improvements [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SiteImprovementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Site improvements member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_SiteImprovementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Site Improvements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentCollateralAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Carrying Value of Collateral</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentCollateralAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Collateral Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentCollateralAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan held by company</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentCollateralAmount_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Loan held by company</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NonAccrualLoanCarryingValueGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Carrying Value Before Specific CECL Reserve</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NonAccrualLoanCarryingValueGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Non Accrual Loan Carrying Value Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_NonAccrualLoanCarryingValueGross_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Non accrual loan carrying value gross.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestExpenseOnSecuredFinancing_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest expense on secured financings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestExpenseOnSecuredFinancing_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Aggregate amount of interest on secured financing.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestExpenseOnSecuredFinancing_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Expense On Secured Financing</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentRepurchasedBorrowingOutstandingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt Instrument repurchased borrowing outstanding amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentRepurchasedBorrowingOutstandingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Repurchased Borrowing Outstanding Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentRepurchasedBorrowingOutstandingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Borrowing Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpensesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Expenses [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingExpensesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfOverallStatisticsForLoansReceivableAndInterestsInLoansReceivablePortfolioTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Overall Statistics for Loans Receivable and Interests in Loans Receivable Portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfOverallStatisticsForLoansReceivableAndInterestsInLoansReceivablePortfolioTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of overall statistics for loans receivable and interests in loans receivable portfolio.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfOverallStatisticsForLoansReceivableAndInterestsInLoansReceivablePortfolioTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Overall Statistics For Loans Receivable And Interests In Loans Receivable Portfolio Table [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OneMonthLIBORMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">LIBOR</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OneMonthLIBORMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">One-month LIBOR [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OneMonthLIBORMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">One Month L I B O R [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OneMonthLIBORMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">One Month L I B O R</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestRateFairValueHedgeAssetAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Fair value of interest rate cap</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestRateFairValueHedgeAssetAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestRateFairValueHedgeAssetAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Rate Fair Value Hedge Asset at Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockGrantedDuringPeriodValueSharebasedCompensationGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares Granted, Value, Share-Based Payment Arrangement, before Forfeiture</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockGrantedDuringPeriodValueSharebasedCompensationGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock-based compensation expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessor, Operating Lease, Payment to be Received, Year One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2027</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentRedemptionPeriodAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Redemption, Period [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TransactionDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Transaction [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TransactionDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Transaction</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long Term Debt Initial Maturities Repayments of Principal in Next Twelve Months</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Long Term Debt Initial Maturities Repayments of Principal in Next Twelve Months</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Long term debt initial maturities repayments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2026</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Other Liabilities, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Par or Stated Value Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock par value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_LegalEntityAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Legal Entity [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepurchaseAgreementCounterpartyLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repurchase Agreement Counterparty [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepurchaseAgreementCounterpartyLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repurchase Agreement Counterparty [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_UnpaidPrincipalBalanceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Unpaid principal balance.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_UnpaidPrincipalBalanceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unpaid Principal Balance [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_UnpaidPrincipalBalanceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unpaid Principal Balance [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfTermParticipationsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Term Participations [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfTermParticipationsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of term participations.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_O2025Q2DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">O 2025 Q2 Dividends [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_O2025Q2DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">O 2025 Q2 Dividends.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_VA_lbl" xlink:role="http://www.xbrl.org/2003/role/label">VIRGINIA</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_VA_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">VA</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentLoanParticipationsSoldBorrowingOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument loan participations sold borrowing outstanding.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentLoanParticipationsSoldBorrowingOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Loan Participations Sold Borrowing Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentLoanParticipationsSoldBorrowingOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Borrowing Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FairValueDiscountRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Discount Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FairValueDiscountRate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fair value discount rate.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_FairValueDiscountRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value discount rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoansReceivableRollForwardTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of loans receivable roll forward.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoansReceivableRollForwardTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Loans Receivable Roll Forward [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfLoansReceivableRollForwardTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Loans Receivable Roll Forward [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CouponInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Coupon interest.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CouponInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Coupon Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CouponInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Coupon interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RecoveryOfPrincipalCharge-Offs_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Recovery of Principal Charge-Offs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RecoveryOfPrincipalCharge-Offs_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Recovery of principal charge-offs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RecoveryOfPrincipalCharge-Offs_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recovery of principal charge-offs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermDebtTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Short-Term Debt, Type [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShortTermDebtTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Short-term Debt, Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ContractualObligationFiscalYearMaturityScheduleTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contractual Obligation, Fiscal Year Maturity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ContractualObligationFiscalYearMaturityScheduleTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Contractual Maturity Payment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred tax assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Tax Assets, Net of Valuation Allowance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredTaxAssetsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Deferred Tax Assets, Net of Valuation Allowance, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentVariableInterestRateTypeExtensibleEnumeration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Variable Interest Rate, Type [Extensible Enumeration]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_HospitalityLoanOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Hospitality Loan One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_HospitalityLoanOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Hospitality Loan One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_HospitalityLoanOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Hospitality Loan One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentMaturityDateRangeEnd1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fully Extended Maturity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentMaturityDateRangeEnd1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Maturity Date Range, End</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Segment Reporting</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MarketAndTerminalCapitalizationRatesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Market and Terminal Capitalization Rates</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MarketAndTerminalCapitalizationRatesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Market and Terminal Capitalization Rates [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MarketAndTerminalCapitalizationRatesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Market and terminal capitalization rates.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Instruments and Hedging Activities Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TypeOfArrangementAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement and Arrangement Other than Collaborative [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Maturity, Year Four</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2029</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUsePropertyAmortizationOfAboveAndBelowMarketLeasesNetMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mixed-Use Property Amortization Of Above And Below Market Leases, Net [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUsePropertyAmortizationOfAboveAndBelowMarketLeasesNetMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mixed-use property amortization of above and below market leases, net.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUsePropertyAmortizationOfAboveAndBelowMarketLeasesNetMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mixed-Use Property Amortization of Above and Below Market Leases, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DeutscheBankAGNewYorkBranchMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deutsche Bank AG New York Branch.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DeutscheBankAGNewYorkBranchMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deutsche Bank A G New York Branch [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DeutscheBankAGNewYorkBranchMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deutsche Bank AG New York Branch [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_TradingSymbol_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Trading Symbol</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_TradingSymbol_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Trading Symbol</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CarryingValueOfLoanPriorToChargeOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Carrying Value Of Loan Prior To Charge Offs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CarryingValueOfLoanPriorToChargeOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Carrying value of loan prior to charge offs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CarryingValueOfLoanPriorToChargeOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Carrying value of loan prior to charge-offs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalStockIssuedIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments to Additional Paid in Capital, Stock Issued, Issuance Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalStockIssuedIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Offering costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalStockIssuedIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Equity issuance costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalStockIssuedIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity issuance costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentNonconsolidatedInvesteeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investment, Nonconsolidated Investee [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_StatementGeographicalAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Geographical [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_StatementGeographicalAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Geographical</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_HospitalityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Hospitality member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_HospitalityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Hospitality [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_HospitalityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Hospitality</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_JPMorganChaseBankNAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">JP Morgan Chase Bank NA.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_JPMorganChaseBankNAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">J P Morgan Chase Bank N A [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_JPMorganChaseBankNAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">JP Morgan Chase Bank NA [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PrePaymentPenaltiesAndAcceleratedFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Pre-payment penalties and accelerated fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PrePaymentPenaltiesAndAcceleratedFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Pre-Payment Penalties and Accelerated Fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PrePaymentPenaltiesAndAcceleratedFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Pre-payment penalties and accelerated fees.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AboveMarketLeaseAmortizationIncomeYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Above Market Lease Amortization Income Year Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AboveMarketLeaseAmortizationIncomeYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Above market lease amortization income year two.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AboveMarketLeaseAmortizationIncomeYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2028</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of Restricted Share Units, Granted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Number of RSUs granted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityEmergingGrowthCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Emerging Growth Company</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityEmergingGrowthCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Emerging Growth Company</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapitalMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Paid-in Capital [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapitalMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional Paid-in Capital [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividends</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableInterestRecognitionAsOfDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest Recognition as of Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableInterestRecognitionAsOfDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Interest Recognition As of Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableInterestRecognitionAsOfDate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable interest recognition as of date.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="country_CO_lbl" xlink:role="http://www.xbrl.org/2003/role/label">COLOMBIA</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="country_CO_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">CO</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ReceivablesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Receivables [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestRecognized_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest recognized.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestRecognized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Recognized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestRecognized_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Interest recognized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AboveMarketLeaseAmortizationIncomeYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Above Market Lease Amortization Income Year Four</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AboveMarketLeaseAmortizationIncomeYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Above market lease amortization income year four.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AboveMarketLeaseAmortizationIncomeYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2030</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MortgageLoansOnRealEstateNumberOfLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/label">SEC Schedule, 12-29, Real Estate Companies, Investment in Mortgage Loans on Real Estate, Number of Loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MortgageLoansOnRealEstateNumberOfLoans_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of Loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosureItemAmountsDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Measurement [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosureItemAmountsDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Measurement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Carrying Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Carrying Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PlanNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Plan Name [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PlanNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Plan Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RecourseStatusDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Recourse Status [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_VariableSubordinateLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Variable Subordinate Loans.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_VariableSubordinateLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Variable Subordinate Loans [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_VariableSubordinateLoansMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Variable Subordinate Loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtToRealEstateOwnedHotelPortfolioMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt To Real Estate Owned Hotel Portfolio [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtToRealEstateOwnedHotelPortfolioMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt to real estate owned hotel portfolio.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtToRealEstateOwnedHotelPortfolioMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt To Real Estate Owned Hotel Portfolio [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PortionAtFairValueFairValueDisclosureMember_lbl" xlink:role="http://fasb.org/us-gaap/role/label/axisDefault">Portion at Fair Value Measurement [Member] [Default]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PortionAtFairValueFairValueDisclosureMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Portion at Fair Value Measurement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">In-place and other lease values income next twelve months.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/label">In-Place and Other Lease Values Amortization Income Next Twelve Months</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2027</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RecourseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recourse</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RecourseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Recourse [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Flow, Noncash Investing and Financing Activities Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashFlowNoncashInvestingAndFinancingActivitiesDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Supplemental disclosure of non-cash investing and financing activities:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CoverAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cover [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateInvestmentsGrossCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Investments, Gross Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateInvestmentsGrossCost_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Real estate investments, gross cost.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateInvestmentsGrossCost_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Total, Gross Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateInvestmentsGrossCost_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Total, Gross Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateInvestmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Investment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateInvestmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real Estate Investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OffsetByPrincipalChargeOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Offset by principal charge offs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OffsetByPrincipalChargeOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Offset by Principal Charge Offs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_OffsetByPrincipalChargeOffs_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Offset by principal charge offs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_O2026Q1DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">O 2026 Q1 Dividends [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_O2026Q1DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">O 2026 q1 dividends.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfRepurchaseAgreements_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Repurchase Agreements [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfRepurchaseAgreements_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Repurchase Agreements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableHeldForInvestmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable held for investment.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableHeldForInvestmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Held For Investment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableHeldForInvestmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans Receivable Held For Investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUseForSaleCondoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mixed use, for sale condo.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUseForSaleCondoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mixed Use, For Sale Condo [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MixedUseForSaleCondoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mixed-Use, For Sale Condo</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WeightedAverageTermToInitialMaturity_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted average term to initial maturity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WeightedAverageTermToInitialMaturity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Term to Initial Maturity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_WeightedAverageTermToInitialMaturity_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Weighted average term to initial maturity.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NewAccountingPronouncementsOrChangeInAccountingPrincipleLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">New Accounting Pronouncements or Change in Accounting Principle [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyPropertyAmortizationOfBelowMarketLeasesNetMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Multifamily Property Amortization of Below Market Leases, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyPropertyAmortizationOfBelowMarketLeasesNetMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Multifamily Property Amortization of Below Market Leases Net [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MultifamilyPropertyAmortizationOfBelowMarketLeasesNetMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Multifamily Property Amortization of Below Market Leases Net [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableRemainingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable remaining amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableRemainingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans Receivable remaining amount.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivableRemainingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loans receivable remaining amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_Charge-OffsOfAccruedInterestReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Charge-Offs of Accrued Interest Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_Charge-OffsOfAccruedInterestReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Charge-Offs of Accrued Interest Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_Charge-OffsOfAccruedInterestReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Charge-offs of accrued interest receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongtermDebtTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Type [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanRepaymentPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan repayment period.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanRepaymentPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Repayment Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanRepaymentPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan Repayment Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ValuationAdjustmentForLoansReceivableHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Valuation Adjustment For Loans Receivable Held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ValuationAdjustmentForLoansReceivableHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Valuation adjustment for loans receivable held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ValuationAdjustmentForLoansReceivableHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Valuation adjustment for loan receivable held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ValuationAdjustmentForLoansReceivableHeld-For-Sale_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Valuation adjustment for loan receivable held-for-sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateInvestmentPropertyNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property's carrying value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateInvestmentPropertyNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Investment Property, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskCreditRisk_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk, Credit Risk, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskCreditRisk_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Risks and Uncertainties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_JPMorganChaseBankNATwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">JP Morgan Chase Bank NA Two [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_JPMorganChaseBankNATwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Jp morgan chase bank, n.a. two.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_JPMorganChaseBankNATwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">JP Morgan Chase Bank NA II [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestOnCashAndCashEquivalentsAndOtherIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest on cash, cash equivalents, and other income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestOnCashAndCashEquivalentsAndOtherIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest on Cash and Cash Equivalents and Other Income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InterestOnCashAndCashEquivalentsAndOtherIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest on cash, cash equivalents, and other income.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-cash stock-based compensation expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Noncash Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Share-based Payment Arrangement, Noncash Expense, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Additional Paid in Capital, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Paid in Capital</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional paid-in capital</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Additional Paid in Capital, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapital_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Additional Paid in Capital, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AtTheMarketStockOfferingProgramMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">At the Market Stock Offering Program [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AtTheMarketStockOfferingProgramMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">At the Market Stock Offering Program [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_AtTheMarketStockOfferingProgramMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">At the market stock offering program.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustment to Reconcile Net Income to Cash Provided by (Used in) Operating Activity [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Adjustments to reconcile net loss to net cash used in operating activities:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfFinancingReceivableAllowanceForCreditLossesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Allowance for Credit Loss [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfFinancingReceivableAllowanceForCreditLossesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Financing Receivable Allowance For Credit Losses [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosuresAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Disclosures [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash and Cash Equivalent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Cash and cash equivalents, end of period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Cash and cash equivalents, beginning of period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash and cash equivalents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Cash and Cash Equivalents, at Carrying Value, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherRealEstateOwnedMeasurementInput_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Measurement Input</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherRealEstateOwnedMeasurementInput_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Real Estate Owned, Measurement Input</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentNonconsolidatedInvesteeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investment, Nonconsolidated Investee [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RealEstateAndAccumulatedDepreciationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">SEC Schedule, 12-28, Real Estate Companies, Investment in Real Estate and Accumulated Depreciation [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Financing Activity, Including Discontinued Operation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net cash used in financing activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentRedemptionPeriodOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Redemption, Period One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentRedemptionPeriodOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Extended Maturity Date in 2026</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentRealEstateOwnedNetLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Line items represent financial concepts of real estate owned, net debt instruments included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentRealEstateOwnedNetLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Real Estate Owned Net [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_DebtInstrumentRealEstateOwnedNetLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt Instrument Real Estate Owned Net [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfRelatedPartyTransactionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Related Party Transactions [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfRelatedPartyTransactionsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Management Fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BelowMarketLeasesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Below market leases.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BelowMarketLeasesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Below Market Leases [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BelowMarketLeasesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Below Market Lease Values</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">In-place and other lease values amortization income remainder of fiscal year.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">In-Place and Other Lease Values Amortization Income Remainder of Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2026</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Basic earnings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Income (Loss) Available to Common Stockholders, Basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Net loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTotalLabel">Net loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RepaymentOfNonCashAdvancesOnDebtRelatedToRealEstateOwnedHotelPortfolio_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayment Of Non Cash Advances On Debt Related To Real Estate Owned Hotel Portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RepaymentOfNonCashAdvancesOnDebtRelatedToRealEstateOwnedHotelPortfolio_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Repayment of non-cash advances on debt related to real estate owned hotel portfolio.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RepaymentOfNonCashAdvancesOnDebtRelatedToRealEstateOwnedHotelPortfolio_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repayment of non-cash advances on debt related to real estate owned hotel portfolio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanTypeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan type member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanTypeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Type [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanTypeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MortgageLoansOnRealEstateNumberOfLoansAndNumberOfLoansHeldForInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mortgage loans on real estate, number of loans and number of loans held-for-investment.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MortgageLoansOnRealEstateNumberOfLoansAndNumberOfLoansHeldForInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mortgage Loans On Real Estate Number Of Loans And Number Of Loans Held For Investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MortgageLoansOnRealEstateNumberOfLoansAndNumberOfLoansHeldForInvestment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of Loans</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TermFacilityMaximumCommitment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Term facility maximum commitment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TermFacilityMaximumCommitment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Term Facility Maximum Commitment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TermFacilityMaximumCommitment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Term facility maximum commitment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TermFacilityMaximumCommitment_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Total Commitments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityFilerCategory_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Filer Category</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityFilerCategory_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Filer Category</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingCodmProfitLossMeasureHowUsedDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting, CODM, Profit (Loss) Measure, How Used, Description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PurchaseOfInterestRateCap_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Purchase of interest rate cap</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PurchaseOfInterestRateCap_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Purchase of Interest Rate Cap</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PurchaseOfInterestRateCap_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Purchase of interest rate cap.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_MA_lbl" xlink:role="http://www.xbrl.org/2003/role/label">MASSACHUSETTS</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_MA_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">MA</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TermFacilityUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Borrowings Outstanding and Carrying Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TermFacilityUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Term Facility Unpaid Principal Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TermFacilityUnpaidPrincipalBalance_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Term facility unpaid principal balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Recognized Identifiable Assets Acquired And Liabilities Assumed Other Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business combination recognized identifiable assets acquired and liabilities assumed other assets.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateInvestmentsAccumulatedDepreciation_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedPeriodEndLabel">Total, Accumulated Depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateInvestmentsAccumulatedDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Investments, Accumulated Depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateInvestmentsAccumulatedDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Real estate investments, accumulated depreciation.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_RealEstateInvestmentsAccumulatedDepreciation_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedPeriodStartLabel">Total, Accumulated Depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivablePrincipalChargeOff_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loans receivable principal charge-off.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivablePrincipalChargeOff_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable Principal Charge-Off</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoansReceivablePrincipalChargeOff_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principal charge-off</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasicAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reconciliation to net (loss) income attributable to common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasicAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reconciliation to net loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalWarrantIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments to Additional Paid in Capital, Warrant Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalWarrantIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of warrants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TwoThousandAndSixteenIncentiveAwardPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Two thousand and sixteen incentive award plan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TwoThousandAndSixteenIncentiveAwardPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand And Sixteen Incentive Award Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_TwoThousandAndSixteenIncentiveAwardPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2016 Incentive Award Plan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CMTGTTMortgageREITLLCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">C M T G T T Mortgage R E I T L L C [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CMTGTTMortgageREITLLCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">CMTG/TT Mortgage REIT LLC.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CMTGTTMortgageREITLLCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">C M T G T T Mortgage R E I T L L C [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_CMTGTTMortgageREITLLCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">CMTG/TT</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfReservesAsAPercentageUnpaidPrincipalBalanceOfLoansReceivableHeld-For-Investment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Reserves As A Percentage Unpaid Principal Balance Of Loans Receivable Held-for-investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfReservesAsAPercentageUnpaidPrincipalBalanceOfLoansReceivableHeld-For-Investment_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of reserves as a percentage unpaid principal balance of loans receivable held-for-investment.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfReservesAsAPercentageUnpaidPrincipalBalanceOfLoansReceivableHeld-For-Investment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Reserves As a Percentage Unpaid Principal Balance of Loans Receivable Held-for-investment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalAfterYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Thereafter</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalAfterYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long Term Debt Initial Maturities Repayments of Principal After Year Five</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalAfterYearFive_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Long term debt initial maturities repayments of principal after year five</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedThereafter_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessor, Operating Lease, Payment to be Received, after Year Five</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedThereafter_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Thereafter</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfSecuredTermLoanTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Secured Term Loan [Table]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ScheduleOfSecuredTermLoanTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Secured Term Loan [Table]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedSixYearsWriteOffsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Originated Six Years Write Offs Before Latest Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedSixYearsWriteOffsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable originated six years write offs before latest fiscal year.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedSixYearsWriteOffsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Charge-offs, Year 7</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableNetOfSpecificReserve_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable net of specific reserve.</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MinimumPercentageOfIncentiveFeeToBePaidInShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Minimum Percentage Of Incentive Fee To Be Paid In Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_MinimumPercentageOfIncentiveFeeToBePaidInShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Minimum percentage of incentive fee to be paid in return on stockholders&#8217; equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedSixOrMoreYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Loan receivable originated six or more years before latest fiscal year.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedSixOrMoreYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Receivable Originated Six Or More Years Before Latest Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_LoanReceivableOriginatedSixOrMoreYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Year 7</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentInformationLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Information [Line Items]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedThreeYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Year Four, Originated, Three Years before Current Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableOriginatedThreeYearsBeforeLatestFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Year 4</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressPostalZipCode_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, Postal Zip Code</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressPostalZipCode_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, Postal Zip Code</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfFinancialPositionAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Financial Position [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PaidToOurFinancingCounterparty_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Paid to our Financing Counterparty</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PaidToOurFinancingCounterparty_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Paid to our financing counterparty</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_PaidToOurFinancingCounterparty_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Paid to our financing counterparty</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_LocalPhoneNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Local Phone Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_LocalPhoneNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Local Phone Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_UnamortizedFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unamortized Fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_UnamortizedFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Unamortized fees.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_UnamortizedFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unamortized fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ChiefFinancialOfficerPresidentAndDirectorMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Chief Financial Officer, President and Director [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="cmtg_ChiefFinancialOfficerPresidentAndDirectorMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Chief Financial Officer, President and Director.</link:label>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable" xlink:to="us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cmtg_MortgageLoansOnRealEstateCommercialAndConsumer" xlink:to="cmtg_MortgageLoansOnRealEstateCommercialAndConsumer_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cmtg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherLiabilities" xlink:to="cmtg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherLiabilities_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_StatementScenarioAxis" xlink:to="srt_StatementScenarioAxis_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LessorOperatingLeasePaymentsToBeReceivedRemainderOfFiscalYear" xlink:to="us-gaap_LessorOperatingLeasePaymentsToBeReceivedRemainderOfFiscalYear_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cmtg_InterestExpenseOnSecuredTermLoan" xlink:to="cmtg_InterestExpenseOnSecuredTermLoan_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cmtg_DebtInstrumentMaximumBorrowingCapacityAmount" xlink:to="cmtg_DebtInstrumentMaximumBorrowingCapacityAmount_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cmtg_CapitalExpendituresRealEstateOwnedHeld-For-InvestmentNet" xlink:to="cmtg_CapitalExpendituresRealEstateOwnedHeld-For-InvestmentNet_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommonStockCapitalSharesReservedForFutureIssuance" xlink:to="us-gaap_CommonStockCapitalSharesReservedForFutureIssuance_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtDisclosureTextBlock" xlink:to="us-gaap_DebtDisclosureTextBlock_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_InterestExpense" xlink:to="us-gaap_InterestExpense_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized" xlink:to="us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cmtg_TaxableREITSubsidiaryPrincipalRecoveriesIncludedConsolidatedStatementOfOperations" xlink:to="cmtg_TaxableREITSubsidiaryPrincipalRecoveriesIncludedConsolidatedStatementOfOperations_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cmtg_O2025Q3DividendsMember" xlink:to="cmtg_O2025Q3DividendsMember_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cmtg_NotePayableCarryingValue" xlink:to="cmtg_NotePayableCarryingValue_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cmtg_LoansReceivableSoldChargeOff" xlink:to="cmtg_LoansReceivableSoldChargeOff_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cmtg_PrincipalChargeOffsReducedOurSpecificCeclReserves" xlink:to="cmtg_PrincipalChargeOffsReducedOurSpecificCeclReserves_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LoansHeldForSaleFairValueDisclosure" xlink:to="us-gaap_LoansHeldForSaleFairValueDisclosure_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cmtg_ScheduleOfTermParticipationTableTextBlock" xlink:to="cmtg_ScheduleOfTermParticipationTableTextBlock_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearThree" xlink:to="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearThree_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtInstrumentBasisSpreadOnVariableRate1" xlink:to="us-gaap_DebtInstrumentBasisSpreadOnVariableRate1_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cmtg_MultifamilyFourMember" xlink:to="cmtg_MultifamilyFourMember_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_CommitmentsAndContingencies" xlink:to="us-gaap_CommitmentsAndContingencies_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding" xlink:to="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_DebtInstrumentMaturityDateRangeStart1" xlink:to="us-gaap_DebtInstrumentMaturityDateRangeStart1_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="srt_MinimumMember" xlink:to="srt_MinimumMember_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cmtg_SummaryOfLoansReceivableHeldForInvestmentWithSpecificCECLReservesTableTextBlock" xlink:to="cmtg_SummaryOfLoansReceivableHeldForInvestmentWithSpecificCECLReservesTableTextBlock_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cmtg_AssignmentOfLoanReceivableToLender" xlink:to="cmtg_AssignmentOfLoanReceivableToLender_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo" xlink:to="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cmtg_OtherGeographicalMember" xlink:to="cmtg_OtherGeographicalMember_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cmtg_MixedUseRetailMember" xlink:to="cmtg_MixedUseRetailMember_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cmtg_InterestExpenseExcludesInterestExpenseFromRealEstateOwnedDebt" xlink:to="cmtg_InterestExpenseExcludesInterestExpenseFromRealEstateOwnedDebt_lbl"/>
          <link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="cmtg_ForbearanceAgreementMember" xlink:to="cmtg_ForbearanceAgreementMember_lbl"/>
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  </xsd:annotation>
  <xsd:element id="cmtg_LoansReceivableAllowanceForCreditLossesChargeOffs" name="LoansReceivableAllowanceForCreditLossesChargeOffs" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_IncentiveFeeRate" name="IncentiveFeeRate" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_AccruedInterestReceivable" name="AccruedInterestReceivable" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoansReceivableSoldCarryingAmount" name="LoansReceivableSoldCarryingAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_TermFacilityMaximumCommitment" name="TermFacilityMaximumCommitment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_LoanReceivableAllowanceForCreditLosses" name="LoanReceivableAllowanceForCreditLosses" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_DepreciationExpenseAccumulatedDepreciation" name="DepreciationExpenseAccumulatedDepreciation" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_BelowMarketLeaseAmortizationIncomeAfterYearFour" name="BelowMarketLeaseAmortizationIncomeAfterYearFour" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeNextTwelveMonths" name="InPlaceAndOtherLeaseValuesAmortizationIncomeNextTwelveMonths" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_DepreciationAndAmortizationOnRealEstateOwnedInPlaceLeaseValuesAndDeferredLeasingCosts" name="DepreciationAndAmortizationOnRealEstateOwnedInPlaceLeaseValuesAndDeferredLeasingCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_SpecificCurrentExpectedCreditLossAllowanceMember" name="SpecificCurrentExpectedCreditLossAllowanceMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LoanReceivableOriginatedSevenOrMoreYearsBeforeLatestFiscalYear" name="LoanReceivableOriginatedSevenOrMoreYearsBeforeLatestFiscalYear" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_SecuredTermLoanNetUnpaidPrincipalBalance" name="SecuredTermLoanNetUnpaidPrincipalBalance" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_LoansReceivableProvisionForCurrentExpectedCreditLosses" name="LoansReceivableProvisionForCurrentExpectedCreditLosses" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_ScheduleOfSecuredTermLoanTable" name="ScheduleOfSecuredTermLoanTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_IncreaseInLoansReceivableCeclReservesOnAccruedInterestReceivable" name="IncreaseInLoansReceivableCeclReservesOnAccruedInterestReceivable" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_ProvisionSpecificCurrentExpectedCreditLossReserve" name="ProvisionSpecificCurrentExpectedCreditLossReserve" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_TransferOfLoansReceivableHeldForSaleFromPortfolioLoans" name="TransferOfLoansReceivableHeldForSaleFromPortfolioLoans" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_WorkingCapitalAcquiredInForeclosuresOfRealEstateOwned" name="WorkingCapitalAcquiredInForeclosuresOfRealEstateOwned" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_VariableLoanTwoMember" name="VariableLoanTwoMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_CarryingValueOfLoanPriorToChargeOffs" name="CarryingValueOfLoanPriorToChargeOffs" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_LoanReceivableOriginatedInCurrentFiscalYear" name="LoanReceivableOriginatedInCurrentFiscalYear" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_PreviouslyRecognizedDepreciationAndAmortizationOnRealEstateOwnedHeld-For-Sale" name="PreviouslyRecognizedDepreciationAndAmortizationOnRealEstateOwnedHeld-For-Sale" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_DallasTXMember" name="DallasTXMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_AboveMarketLeaseAmortizationIncomeAfterYearFour" name="AboveMarketLeaseAmortizationIncomeAfterYearFour" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_O2025Q1DividendsMember" name="O2025Q1DividendsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_JPMorganChaseBankNATwoMember" name="JPMorganChaseBankNATwoMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_CommitmentAmount" name="CommitmentAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_DebtInstrumentDescriptionOfStatedRateBasis" name="DebtInstrumentDescriptionOfStatedRateBasis" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInYearFive" name="LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInYearFive" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_AmortizedCostBasis" name="AmortizedCostBasis" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_CashLiquidityAmountToBeMaintained" name="CashLiquidityAmountToBeMaintained" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_PercentageOfLoansReceivable" name="PercentageOfLoansReceivable" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeYearFour" name="InPlaceAndOtherLeaseValuesAmortizationIncomeYearFour" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_DeferredFeesMember" name="DeferredFeesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_NumberOfHotelsSold" name="NumberOfHotelsSold" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_TerminationFeeDescription" name="TerminationFeeDescription" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_BarclaysBankPLCMember" name="BarclaysBankPLCMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_DepreciationExpenseRealEstateOwnedHeld-For-InvestmentNet" name="DepreciationExpenseRealEstateOwnedHeld-For-InvestmentNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_TaxableREITSubsidiaryPrincipalRecoveriesIncludedConsolidatedStatementOfOperations" name="TaxableREITSubsidiaryPrincipalRecoveriesIncludedConsolidatedStatementOfOperations" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_InPlaceLeaseValuesMember" name="InPlaceLeaseValuesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_MixedUsePropertyFixedRentsMember" name="MixedUsePropertyFixedRentsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_MortgageLoansOnRealEstateCommercialAndConsumer" name="MortgageLoansOnRealEstateCommercialAndConsumer" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_SpecificCeclReservesMember" name="SpecificCeclReservesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_MaximumLiabilityDueToThePurchaserForTheLoanSold" name="MaximumLiabilityDueToThePurchaserForTheLoanSold" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_PercentageOfREITTaxableIncome" name="PercentageOfREITTaxableIncome" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_SouthwestMember" name="SouthwestMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherLiabilities" name="BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherLiabilities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_RealEstateTransactionCosts" name="RealEstateTransactionCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_AccruedDeferredLeasingCosts" name="AccruedDeferredLeasingCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_InterestsInLoansReceivablePortfolioMember" name="InterestsInLoansReceivablePortfolioMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LoansReceivableCreditQualityIndicatorsTableTextBlock" name="LoansReceivableCreditQualityIndicatorsTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_NonCashAdvancesInLieuOfInterest1" name="NonCashAdvancesInLieuOfInterest1" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_PaymentOfDeferredFinancingCosts" name="PaymentOfDeferredFinancingCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_RealEstateOwnedHeld-For-InvestmentNet" name="RealEstateOwnedHeld-For-InvestmentNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoansReceivableInterestRecognitionAsOfDate" name="LoansReceivableInterestRecognitionAsOfDate" type="xbrli:dateItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_LoansAndLeasesReceivableNumberOfContract" name="LoansAndLeasesReceivableNumberOfContract" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_DividendsOnParticipatingSecurities" name="DividendsOnParticipatingSecurities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_NonAccrualLoansSpecificCeclReserve" name="NonAccrualLoansSpecificCeclReserve" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_AboveMarketLeaseValueFiveYearTotal" name="AboveMarketLeaseValueFiveYearTotal" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_CapitalExpendituresGrossCost" name="CapitalExpendituresGrossCost" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoanReceivableOriginatedFiveYearsWriteOffsBeforeLatestFiscalYear" name="LoanReceivableOriginatedFiveYearsWriteOffsBeforeLatestFiscalYear" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_RealEstateDebtFairValue" name="RealEstateDebtFairValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_DeutscheBankAGNewYorkBranchMember" name="DeutscheBankAGNewYorkBranchMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_RealEstateInvestmentsGrossCost" name="RealEstateInvestmentsGrossCost" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_TermParticipationsLineItems" name="TermParticipationsLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_AtTheMarketStockOfferingProgramMember" name="AtTheMarketStockOfferingProgramMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_AmortizationOfDiscountOnSecuredTermLoan" name="AmortizationOfDiscountOnSecuredTermLoan" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_AboveMarketLeaseAmortizationIncomeYearFour" name="AboveMarketLeaseAmortizationIncomeYearFour" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_TermParticipationFacilityMember" name="TermParticipationFacilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_ScheduleOfIncomeLossBeforeIncomeTaxesTable" name="ScheduleOfIncomeLossBeforeIncomeTaxesTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_RatioOfTotalDebtToEquityRatioShallNotExceed" name="RatioOfTotalDebtToEquityRatioShallNotExceed" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_MixedUseForSaleCondoMember" name="MixedUseForSaleCondoMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_NoncashAdvancesOnSecuredFinancingsInLieuOfInterest" name="NoncashAdvancesOnSecuredFinancingsInLieuOfInterest" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_ValuationAdjustmentForLoansReceivableHeld-For-Sale" name="ValuationAdjustmentForLoansReceivableHeld-For-Sale" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_HospitalityMember" name="HospitalityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LoanReceivableCarryingValueGrossSpecificReserve" name="LoanReceivableCarryingValueGrossSpecificReserve" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_ClarosMortgageTrustMember" name="ClarosMortgageTrustMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_SummaryOfFinancingsTableTextBlock" name="SummaryOfFinancingsTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_SiteImprovementsMember" name="SiteImprovementsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_RealEstateOwnedMultifamilyPropertiesAssetsAcquiredAndLiabilitiesAssumedTableTextBlock" name="RealEstateOwnedMultifamilyPropertiesAssetsAcquiredAndLiabilitiesAssumedTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_RealEstateOwnedDepreciationAndAmortizationExpenses" name="RealEstateOwnedDepreciationAndAmortizationExpenses" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_SettlementOfLoansReceivableInForeclosuresOfRealEstateOwned" name="SettlementOfLoansReceivableInForeclosuresOfRealEstateOwned" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_IncrementalLossOnConsummationOfSale" name="IncrementalLossOnConsummationOfSale" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_RealEstateOwnedInterestExpense" name="RealEstateOwnedInterestExpense" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_GeneralCeclReserveMember" name="GeneralCeclReserveMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LoansReceivableNumberOfContract" name="LoansReceivableNumberOfContract" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_RealEstateOwnedAbstract" name="RealEstateOwnedAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_RecoveryOfPrincipalCharge-Offs" name="RecoveryOfPrincipalCharge-Offs" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeYearTwo" name="InPlaceAndOtherLeaseValuesAmortizationIncomeYearTwo" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_MultifamilyPropertiesMember" name="MultifamilyPropertiesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_PreviouslyRecognizedDepreciationAndAmortizationOnRealEstateOwned" name="PreviouslyRecognizedDepreciationAndAmortizationOnRealEstateOwned" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_InterestExpenseOnSecuredTermLoan" name="InterestExpenseOnSecuredTermLoan" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_UnfundedLoanCommitmentLoanPortfolio" name="UnfundedLoanCommitmentLoanPortfolio" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_TwoThousandEighteenLoanOriginationCommitmentsMember" name="TwoThousandEighteenLoanOriginationCommitmentsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_GeneralAndAdministrativeExpensesNetOfReversalAmount" name="GeneralAndAdministrativeExpensesNetOfReversalAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInNextTwelveMonths" name="LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInNextTwelveMonths" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_HospitalityLoanOneMember" name="HospitalityLoanOneMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LoanTypeMember" name="LoanTypeMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LoansReceivableRollForwardLineItems" name="LoansReceivableRollForwardLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_InPlaceAboveMarketAndOtherLeaseValuesGross" name="InPlaceAboveMarketAndOtherLeaseValuesGross" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInYearThree" name="LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInYearThree" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_WeightedAverageTermToInitialMaturity" name="WeightedAverageTermToInitialMaturity" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_LoansAndLeaseReceivableGeneralCeclReserve" name="LoansAndLeaseReceivableGeneralCeclReserve" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_DistributableLossEarnings" name="DistributableLossEarnings" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_DeferredFeesAndDiscountsMember" name="DeferredFeesAndDiscountsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_ProceedsFromCostRecoveryOfNonAccrualLoan" name="ProceedsFromCostRecoveryOfNonAccrualLoan" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_RealEstateOwnedHeld-For-Sale" name="RealEstateOwnedHeld-For-Sale" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_DebtInstrumentBorrowingOutstanding" name="DebtInstrumentBorrowingOutstanding" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_SettlementOfNotePayableThroughAssignmentToLender" name="SettlementOfNotePayableThroughAssignmentToLender" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_ProceedsNetOfTransactionCostsProrationsAndCredits" name="ProceedsNetOfTransactionCostsProrationsAndCredits" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_RealEstateInvestmentsAccumulatedDepreciation" name="RealEstateInvestmentsAccumulatedDepreciation" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_MarketAndTerminalCapitalizationRatesMember" name="MarketAndTerminalCapitalizationRatesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_ProceedsFromSalesOfRealEstateOwned" name="ProceedsFromSalesOfRealEstateOwned" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoansReceivableDiscountedLoanPayOff" name="LoansReceivableDiscountedLoanPayOff" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_TransferToHeld-For-SaleRealEstateOwnedHeld-For-InvestmentNet" name="TransferToHeld-For-SaleRealEstateOwnedHeld-For-InvestmentNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_SpecificCECLReserveOnAccruedInterestReceivableMember" name="SpecificCECLReserveOnAccruedInterestReceivableMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_NonAccrualLoanCarryingValueGross" name="NonAccrualLoanCarryingValueGross" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_MixedUseOfficeMember" name="MixedUseOfficeMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LoanRepaymentPeriod" name="LoanRepaymentPeriod" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_Charge-OffsOfAccruedInterestReceivable" name="Charge-OffsOfAccruedInterestReceivable" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_ScheduleOfLoansReceivableRollForwardTable" name="ScheduleOfLoansReceivableRollForwardTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_AccruedDeferredFinancingCosts" name="AccruedDeferredFinancingCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_ScheduleOfTermParticipationTableTextBlock" name="ScheduleOfTermParticipationTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_BelowMarketLeasesMember" name="BelowMarketLeasesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_DebtInstrumentBorrowingsOutstandingRelatedToMultifamilyRealEstateOwnedAssets" name="DebtInstrumentBorrowingsOutstandingRelatedToMultifamilyRealEstateOwnedAssets" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_DebtRelatedToRealEstateOwnedHotelPortfolioNet" name="DebtRelatedToRealEstateOwnedHotelPortfolioNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_LoanCommitmentHeldForSale" name="LoanCommitmentHeldForSale" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoanReceivableWriteOffsOfExitFee" name="LoanReceivableWriteOffsOfExitFee" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_AnticipatedRepaymentMember" name="AnticipatedRepaymentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_CollateralCarryingValue" name="CollateralCarryingValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_ProceedsFromSecuredTermLoanAndIssuanceOfWarrants" name="ProceedsFromSecuredTermLoanAndIssuanceOfWarrants" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_ScheduleOfLoansReceivablePortfolioByLoanTypeTableTextBlock" name="ScheduleOfLoansReceivablePortfolioByLoanTypeTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_NoncashAdvancesToLoansReceivableInLieuOfInterest" name="NoncashAdvancesToLoansReceivableInLieuOfInterest" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_TransferOfLoansHeldForSaletoFromPortfolioLoans" name="TransferOfLoansHeldForSaletoFromPortfolioLoans" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_MixedUseRetailMember" name="MixedUseRetailMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_RealEstateOwnedOperatingRevenue" name="RealEstateOwnedOperatingRevenue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_PrincipalChargeOffsReducedOurSpecificCeclReserves" name="PrincipalChargeOffsReducedOurSpecificCeclReserves" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_CollateralAssetGrossSalesPrice" name="CollateralAssetGrossSalesPrice" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_O2025Q3DividendsMember" name="O2025Q3DividendsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_DebtWeightedAverageRecourseRate" name="DebtWeightedAverageRecourseRate" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_LoansReceivablePrincipalOutstandingAmount" name="LoansReceivablePrincipalOutstandingAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_SummaryOfCarryingValueAndSignificantCharacteristicsOfLoansReceivableOnNonAccrualStatusTableTextBlock" name="SummaryOfCarryingValueAndSignificantCharacteristicsOfLoansReceivableOnNonAccrualStatusTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_LoansReceivableNetReportedAmount" name="LoansReceivableNetReportedAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_UnfundedLoanCommitmentSold" name="UnfundedLoanCommitmentSold" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_NonCashAdvancesOnDebtRelatedToRealEstateOwned" name="NonCashAdvancesOnDebtRelatedToRealEstateOwned" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_DebtInstrumentFloorRate" name="DebtInstrumentFloorRate" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_LoansReceivableGross" name="LoansReceivableGross" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_TwoThousandAndSixteenIncentiveAwardPlanMember" name="TwoThousandAndSixteenIncentiveAwardPlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_JPMorganChaseBankNASideCarMember" name="JPMorganChaseBankNASideCarMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_PastDueInterestAndCharge-Offs" name="PastDueInterestAndCharge-Offs" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_ProceedsFromDebtRelatedToRealEstateOwnedHotelPortfolio" name="ProceedsFromDebtRelatedToRealEstateOwnedHotelPortfolio" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_CapitalExpendituresOnRealEstateAssets" name="CapitalExpendituresOnRealEstateAssets" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_CashBasisIncomeFromNonAccrualLoanRepayment" name="CashBasisIncomeFromNonAccrualLoanRepayment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_PrePaymentPenaltiesAndAcceleratedFees" name="PrePaymentPenaltiesAndAcceleratedFees" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LandLoanMember" name="LandLoanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_WeightedAverageRiskRatingOnLoanExposure" name="WeightedAverageRiskRatingOnLoanExposure" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_JPMorganChaseBankNAMember" name="JPMorganChaseBankNAMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_NumberOfRiskRatedLoans" name="NumberOfRiskRatedLoans" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_OtherCountriesMember" name="OtherCountriesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LoanParticipationsSoldLineItems" name="LoanParticipationsSoldLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_AdditionalProvisionForLoansReceivableCeclReservesOnAccruedInterestReceivable" name="AdditionalProvisionForLoansReceivableCeclReservesOnAccruedInterestReceivable" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_AboveMarketLeaseAmortizationIncomeNextTwelveMonths" name="AboveMarketLeaseAmortizationIncomeNextTwelveMonths" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_NotesPayableTwoMember" name="NotesPayableTwoMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_AdvancesOnExistingLoans" name="AdvancesOnExistingLoans" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_ReimbursementsMember" name="ReimbursementsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_ServicerProceedsUponDiscountedLoanPayoff" name="ServicerProceedsUponDiscountedLoanPayoff" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoanReceivableWriteOffsOfAccruedInterest" name="LoanReceivableWriteOffsOfAccruedInterest" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_RatioOfEarningsBeforeInterestTaxesDepreciationAndAmortizationToInterestCharges" name="RatioOfEarningsBeforeInterestTaxesDepreciationAndAmortizationToInterestCharges" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_VariableLoanMember" name="VariableLoanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_NonAccrualLoansNet" name="NonAccrualLoansNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_JPMorganChaseBankNAMainPoolMember" name="JPMorganChaseBankNAMainPoolMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_SummaryOfChangesInRealEstateOwnedHeld-For-InvestmentNet" name="SummaryOfChangesInRealEstateOwnedHeld-For-InvestmentNet" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_ForeclosureOfMultifamilyPropertyIncludingCapitalizedTransactionCostsGrossCost" name="ForeclosureOfMultifamilyPropertyIncludingCapitalizedTransactionCostsGrossCost" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_PrincipalAndExitFeeCharge-Offs" name="PrincipalAndExitFeeCharge-Offs" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_ScheduleOfAmortizationOfOurLeaseIntangiblesTableTextBlock" name="ScheduleOfAmortizationOfOurLeaseIntangiblesTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_ScheduleOfAccountsNotesAndLoansReceivableTableTextBlock" name="ScheduleOfAccountsNotesAndLoansReceivableTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_RepaymentOfNonCashAdvancesOnDebtRelatedToRealEstateOwnedHotelPortfolio" name="RepaymentOfNonCashAdvancesOnDebtRelatedToRealEstateOwnedHotelPortfolio" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_ScheduleOfDebtInstrumentRealEstateOwnedNetTable" name="ScheduleOfDebtInstrumentRealEstateOwnedNetTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_ExtensionAndExitFeesReceivedFromLoansReceivable" name="ExtensionAndExitFeesReceivedFromLoansReceivable" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_FixedLoanMember" name="FixedLoanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LoansReceivableGeneralCeclReserve" name="LoansReceivableGeneralCeclReserve" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_O2025Q2DividendsMember" name="O2025Q2DividendsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_BasisOfPresentationAndPrinciplesOfConsolidationPolicyTextBlock" name="BasisOfPresentationAndPrinciplesOfConsolidationPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_LoanReceivableOriginatedFiveOrMoreYearsBeforeLatestFiscalYear" name="LoanReceivableOriginatedFiveOrMoreYearsBeforeLatestFiscalYear" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_ChargeOffs" name="ChargeOffs" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_DebtRelatedToRealEstateOwnedNet" name="DebtRelatedToRealEstateOwnedNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_DebtInstrumentInterestRate" name="DebtInstrumentInterestRate" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_ScheduleOfLoansReceivableHeldForSaleAndLoansReceivableSoldTableTextBlock" name="ScheduleOfLoansReceivableHeldForSaleAndLoansReceivableSoldTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_NotesPayableMember" name="NotesPayableMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_PurchaseOfInterestRateCap" name="PurchaseOfInterestRateCap" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_InterestExpenseOnDebtRelatedToRealEstateOwned" name="InterestExpenseOnDebtRelatedToRealEstateOwned" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_MultifamilyOneMember" name="MultifamilyOneMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_AmortizationOfFinancingCostsExcludingAmortizationOfFees" name="AmortizationOfFinancingCostsExcludingAmortizationOfFees" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoanReceivableOriginatedFiveYearsBeforeLatestFiscalYear" name="LoanReceivableOriginatedFiveYearsBeforeLatestFiscalYear" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_OffsetByPrincipalChargeOffs" name="OffsetByPrincipalChargeOffs" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_MultifamilyFourMember" name="MultifamilyFourMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LoanReceivableOriginatedFourYearsWriteOffsBeforeLatestFiscalYear" name="LoanReceivableOriginatedFourYearsWriteOffsBeforeLatestFiscalYear" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoanReceivableOriginatedInFiscalYearBeforeLatestFiscalYear" name="LoanReceivableOriginatedInFiscalYearBeforeLatestFiscalYear" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_ConversionOfFullyVestedRsusToCommonShares" name="ConversionOfFullyVestedRsusToCommonShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_FairValueMarketPricePerSquareFoot" name="FairValueMarketPricePerSquareFoot" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_MultifamilyLoanMember" name="MultifamilyLoanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_ChiefFinancialOfficerPresidentAndDirectorMember" name="ChiefFinancialOfficerPresidentAndDirectorMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_MultifamilyRealEstateOwnedHeld-For-SaleMember" name="MultifamilyRealEstateOwnedHeld-For-SaleMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInYearFour" name="LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInYearFour" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_MultifamilyPropertyAmortizationOfBelowMarketLeasesNetMember" name="MultifamilyPropertyAmortizationOfBelowMarketLeasesNetMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedRealEstateOwned" name="BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedRealEstateOwned" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_ScheduleOfReservesAsAPercentageUnpaidPrincipalBalanceOfLoansReceivableHeld-For-Investment" name="ScheduleOfReservesAsAPercentageUnpaidPrincipalBalanceOfLoansReceivableHeld-For-Investment" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_SecuredTermLoanMember" name="SecuredTermLoanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_HospitalityLoanTwoMember" name="HospitalityLoanTwoMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_UnlikelyToBeCollectedFinancingReceivableOneMember" name="UnlikelyToBeCollectedFinancingReceivableOneMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_AboveMarketLeaseAmortizationIncomeYearThree" name="AboveMarketLeaseAmortizationIncomeYearThree" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInPlaceAboveMarket" name="BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInPlaceAboveMarket" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_ScheduleOfLoansReceivableTable" name="ScheduleOfLoansReceivableTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeYearAfterYearFour" name="InPlaceAndOtherLeaseValuesAmortizationIncomeYearAfterYearFour" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_LoanCommitment" name="LoanCommitment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_DebtInstrumentLoanParticipationsSoldBorrowingOutstanding" name="DebtInstrumentLoanParticipationsSoldBorrowingOutstanding" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_FinancingReceivableTransferToRealEstateOwnedHeld-For-Investment" name="FinancingReceivableTransferToRealEstateOwnedHeld-For-Investment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_InterestPastDueForNonAccrualLoans" name="InterestPastDueForNonAccrualLoans" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_LoansReceivableUnpaidPrincipalBalance" name="LoansReceivableUnpaidPrincipalBalance" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_MixedUseMultifamilyMember" name="MixedUseMultifamilyMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_ScheduleOfTermParticipationsTable" name="ScheduleOfTermParticipationsTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LoanReceivableHeldForSaleChargeOff" name="LoanReceivableHeldForSaleChargeOff" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_UnamortizedFees" name="UnamortizedFees" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_SettlementOfLoanReceivableThroughAssignmentToLender" name="SettlementOfLoanReceivableThroughAssignmentToLender" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_MultifamilyPropertiesFixedRentsMember" name="MultifamilyPropertiesFixedRentsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_ProceedsFromWorkingCapitalAdjustment" name="ProceedsFromWorkingCapitalAdjustment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_CashAndRestrictedCashAcquiredFromForeclosuresOfRealEstateOwned" name="CashAndRestrictedCashAcquiredFromForeclosuresOfRealEstateOwned" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_DebtObligationWeightedAverageSpread" name="DebtObligationWeightedAverageSpread" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_MorganStanleyBankNAMember" name="MorganStanleyBankNAMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_RealEstateAcquiredInForeclosure" name="RealEstateAcquiredInForeclosure" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoanReceivableUnpaidPrincipalBalanceMaturityDefault" name="LoanReceivableUnpaidPrincipalBalanceMaturityDefault" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_DebtObligationCapacity" name="DebtObligationCapacity" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_DebtInstrumentRepurchasedBorrowingOutstandingAmount" name="DebtInstrumentRepurchasedBorrowingOutstandingAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_AdditionalLoansReceivableDiscountedLoanPayOff" name="AdditionalLoansReceivableDiscountedLoanPayOff" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_AllowanceForCreditLossesOnLoanReceivablesTabletextblock" name="AllowanceForCreditLossesOnLoanReceivablesTabletextblock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_NumberOfHotelsHeldInPortfolio" name="NumberOfHotelsHeldInPortfolio" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_LoansReceivableGrossCarryingAmount" name="LoansReceivableGrossCarryingAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoanReceivableOriginatedThreeYearsWriteOffsBeforeLatestFiscalYear" name="LoanReceivableOriginatedThreeYearsWriteOffsBeforeLatestFiscalYear" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoanReceivableOriginatedSixYearsWriteOffsBeforeLatestFiscalYear" name="LoanReceivableOriginatedSixYearsWriteOffsBeforeLatestFiscalYear" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoansNetOfDeferredFeesAndSpecificAllowances" name="LoansNetOfDeferredFeesAndSpecificAllowances" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LeaseIntangiblesAcquiredInForeclosureOfRealEstateOwned" name="LeaseIntangiblesAcquiredInForeclosureOfRealEstateOwned" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeYearThree" name="InPlaceAndOtherLeaseValuesAmortizationIncomeYearThree" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_AccruedEquityIssuanceCosts" name="AccruedEquityIssuanceCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_RepaymentOfLoansReceivable" name="RepaymentOfLoansReceivable" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_SaleOfMortgageLoanReceivable" name="SaleOfMortgageLoanReceivable" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_MixedUsePropertyAmortizationOfAboveAndBelowMarketLeasesNetMember" name="MixedUsePropertyAmortizationOfAboveAndBelowMarketLeasesNetMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_MixedUseMember" name="MixedUseMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_SubordinateSecuredDebtMember" name="SubordinateSecuredDebtMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LoansHeldToMaturityFairValueDisclosure" name="LoansHeldToMaturityFairValueDisclosure" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_MidAtlanticMember" name="MidAtlanticMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_PropertyTypeMember" name="PropertyTypeMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_FinancingReceivabletransfertoRealEstateOwned" name="FinancingReceivabletransfertoRealEstateOwned" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_DerivativeRemainingMaturityDates" name="DerivativeRemainingMaturityDates" type="xbrli:gYearMonthItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_PaymentsForLoanOriginationsAcquisitionsAndAdvancesNetOfFees" name="PaymentsForLoanOriginationsAcquisitionsAndAdvancesNetOfFees" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_CurrentExpectedCreditLossesPolicyTextBlock" name="CurrentExpectedCreditLossesPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_OneMonthSofrMember" name="OneMonthSofrMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_RealEstateOwnedPortfolioMember" name="RealEstateOwnedPortfolioMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_MixedUsePropertyStraightLineRentAdjustmentMember" name="MixedUsePropertyStraightLineRentAdjustmentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_OtherGeographicalMember" name="OtherGeographicalMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LoansReceivableHeldForInvestmentGross" name="LoansReceivableHeldForInvestmentGross" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_DebtInstrumentAdditionalInterestRate" name="DebtInstrumentAdditionalInterestRate" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_TransferToHeld-For-Sale" name="TransferToHeld-For-Sale" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_ScheduleOfLoansReceivablesPastDueLineItems" name="ScheduleOfLoansReceivablesPastDueLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_InterestIncomeFromLoan" name="InterestIncomeFromLoan" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_ConcentrationOfRiskMember" name="ConcentrationOfRiskMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_HospitalityOneMember" name="HospitalityOneMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_AssignmentOfLoanReceivableToLender" name="AssignmentOfLoanReceivableToLender" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_VariableSeniorLoansMember" name="VariableSeniorLoansMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_SaleOfMultifamilyProperty" name="SaleOfMultifamilyProperty" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_SaleOfMultifamilyPropertyRealEstateOwnedHeld-For-InvestmentNet" name="SaleOfMultifamilyPropertyRealEstateOwnedHeld-For-InvestmentNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_RealEstateDebtUnpaidPrincipalBalance" name="RealEstateDebtUnpaidPrincipalBalance" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_FixedSubordinateLoansMember" name="FixedSubordinateLoansMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_InPlaceAndOtherLeaseValuesMember" name="InPlaceAndOtherLeaseValuesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_AboveMarketLeaseAmortizationIncomeYearTwo" name="AboveMarketLeaseAmortizationIncomeYearTwo" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_LoansReceivableHeldForSaleUnpaidPrincipalBalance" name="LoansReceivableHeldForSaleUnpaidPrincipalBalance" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_CommitmentInterest" name="CommitmentInterest" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_LoanReceivableNumberOfAdditionalLoans" name="LoanReceivableNumberOfAdditionalLoans" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_WeightedAverageAnnualizedYieldPercentage" name="WeightedAverageAnnualizedYieldPercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_LoansReceivableRemainingAmount" name="LoansReceivableRemainingAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_InPlaceOtherLeaseValueFiveYearTotal" name="InPlaceOtherLeaseValueFiveYearTotal" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_ScheduleOfLoanParticipationsSoldTable" name="ScheduleOfLoanParticipationsSoldTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_GoldmanSachsBankUSAMember" name="GoldmanSachsBankUSAMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_PaidToOurFinancingCounterparty" name="PaidToOurFinancingCounterparty" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoansReceivableSoldChargeOff" name="LoansReceivableSoldChargeOff" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_ScheduleOfInPlaceAndOtherLeaseIntangiblesAboveMarketLeaseAndBelowMarketLeaseEstimatedFutureAmortizationTableTextBlock" name="ScheduleOfInPlaceAndOtherLeaseIntangiblesAboveMarketLeaseAndBelowMarketLeaseEstimatedFutureAmortizationTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_PaymentsFromGuarantorOfLoanReceivable" name="PaymentsFromGuarantorOfLoanReceivable" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_FairValueDiscountRate" name="FairValueDiscountRate" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_GainLossOnRealEstateOwnedHeld-For-Sale" name="GainLossOnRealEstateOwnedHeld-For-Sale" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_DebtInstrumentRealEstateOwnedNetBorrowingOutstandingAmount" name="DebtInstrumentRealEstateOwnedNetBorrowingOutstandingAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_LoansReceivableSpecificCECLReserve" name="LoansReceivableSpecificCECLReserve" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_SecuredTermLoanLineItems" name="SecuredTermLoanLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_RemainingLoansDiscountedPayoffAmount" name="RemainingLoansDiscountedPayoffAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoanReceivableOriginatedFourYearsBeforeLatestFiscalYear" name="LoanReceivableOriginatedFourYearsBeforeLatestFiscalYear" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_WeightedAverageLoansReceivableYTMPercentage" name="WeightedAverageLoansReceivableYTMPercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_DebtInstrumentMaximumExtensionDate" name="DebtInstrumentMaximumExtensionDate" type="xbrli:dateItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_TwoThousandNineteenLoanOriginationCommitmentsMember" name="TwoThousandNineteenLoanOriginationCommitmentsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_SummaryOfLoansReceivableHeldForInvestmentWithSpecificCECLReservesTableTextBlock" name="SummaryOfLoansReceivableHeldForInvestmentWithSpecificCECLReservesTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_MultifamilyThreeMember" name="MultifamilyThreeMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_UnlikelyToBeCollectedFinancingReceivableTwoMember" name="UnlikelyToBeCollectedFinancingReceivableTwoMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_AboveMarketLeaseAmortizationIncomeRemainderOfFiscalYear" name="AboveMarketLeaseAmortizationIncomeRemainderOfFiscalYear" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_LoanCommitmentAmount" name="LoanCommitmentAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_TermFacilityUnpaidPrincipalBalance" name="TermFacilityUnpaidPrincipalBalance" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_ScheduleOfRevenuesAndOperatingExpensesOfRealEstateOwnedPropertiesTableTextBlock" name="ScheduleOfRevenuesAndOperatingExpensesOfRealEstateOwnedPropertiesTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_WestMember" name="WestMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_OriginationFeesDiscountsExtensionFeesAndExitFees" name="OriginationFeesDiscountsExtensionFeesAndExitFees" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_NumberOfLoansOutstandingInMaturityDefault" name="NumberOfLoansOutstandingInMaturityDefault" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_MortgageLoansOnRealEstateCommercialAndConsumerPercentageOfPortfolio" name="MortgageLoansOnRealEstateCommercialAndConsumerPercentageOfPortfolio" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_O2026Q3DividendsMember" name="O2026Q3DividendsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_AmortizationOfDeferredFinancingCostsOnSecuredFinancings" name="AmortizationOfDeferredFinancingCostsOnSecuredFinancings" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_AmortizationOfLeaseIntangibles" name="AmortizationOfLeaseIntangibles" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_NonAccrualLoansUnpaidPrincipalBalance" name="NonAccrualLoansUnpaidPrincipalBalance" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoansReceivablePrincipalChargeOff" name="LoansReceivablePrincipalChargeOff" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_CMTGTTMember" name="CMTGTTMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalAfterYearFive" name="LongTermDebtInitialMaturitiesRepaymentsOfPrincipalAfterYearFive" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_BelowMarketLeaseValueFiveYearTotal" name="BelowMarketLeaseValueFiveYearTotal" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_MortgageLoansOnRealEstateCommercialAndConsumerPercentageOfCarryingValue" name="MortgageLoansOnRealEstateCommercialAndConsumerPercentageOfCarryingValue" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_RemainingLoanHeldUnpaidPrincipalBalance" name="RemainingLoanHeldUnpaidPrincipalBalance" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_CMTGTTMortgageREITLLCMember" name="CMTGTTMortgageREITLLCMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_RepaymentOfNoncashAdvancesToLoansReceivableInLieuOfInterest" name="RepaymentOfNoncashAdvancesToLoansReceivableInLieuOfInterest" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_SecuredTermLoansFairValueDisclosure" name="SecuredTermLoansFairValueDisclosure" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_MixedUseHospitalityMember" name="MixedUseHospitalityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_AnnualBaseManagementFeePercentage" name="AnnualBaseManagementFeePercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInYearTwo" name="LongTermDebtInitialMaturitiesRepaymentsOfPrincipalInYearTwo" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_ScheduleOfLoansReceivablesPastDueTable" name="ScheduleOfLoansReceivablesPastDueTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LoanReceivableOriginatedSixOrMoreYearsBeforeLatestFiscalYear" name="LoanReceivableOriginatedSixOrMoreYearsBeforeLatestFiscalYear" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_UnpaidPrincipalBalanceMember" name="UnpaidPrincipalBalanceMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_ScheduleOfOverallStatisticsForLoansReceivableAndInterestsInLoansReceivablePortfolioTableTextBlock" name="ScheduleOfOverallStatisticsForLoansReceivableAndInterestsInLoansReceivablePortfolioTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_FairValueMarketCapitalizationRate" name="FairValueMarketCapitalizationRate" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_ScheduleOfLoansReceivableLineItems" name="ScheduleOfLoansReceivableLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_RealEstateOwnedFairValueOfAssetsAcquiredAndLiabilitiesAssumedTableTextBlock" name="RealEstateOwnedFairValueOfAssetsAcquiredAndLiabilitiesAssumedTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_LoansReceivableHeldForInvestmentMember" name="LoansReceivableHeldForInvestmentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LoanReceivableNonAccrualCarryingValueRemainOnAccrualStatusMaturityDefault" name="LoanReceivableNonAccrualCarryingValueRemainOnAccrualStatusMaturityDefault" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoanReceivableOriginatedTwoYearsWriteOffsBeforeLatestFiscalYear" name="LoanReceivableOriginatedTwoYearsWriteOffsBeforeLatestFiscalYear" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_IncreaseDecreaseInManagementFeePayableAffiliate" name="IncreaseDecreaseInManagementFeePayableAffiliate" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoanReceivableWriteOffs" name="LoanReceivableWriteOffs" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_SubordinateLoansMember" name="SubordinateLoansMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LoanReceivableNetOfSpecificReserve" name="LoanReceivableNetOfSpecificReserve" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_UnfundedLoanCommitmentsMember" name="UnfundedLoanCommitmentsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_CompanyContributionAmount" name="CompanyContributionAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAssets" name="BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAssets" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_MortgageLoansOnRealEstateNumberOfLoansAndNumberOfLoansHeldForInvestment" name="MortgageLoansOnRealEstateNumberOfLoansAndNumberOfLoansHeldForInvestment" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_VariableLoanOneMember" name="VariableLoanOneMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_DebtInstrumentMaximumBorrowingCapacityAmount" name="DebtInstrumentMaximumBorrowingCapacityAmount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_WeightedAverageAmortizationPeriodForInPlaceAndOtherLeaseIntangibles" name="WeightedAverageAmortizationPeriodForInPlaceAndOtherLeaseIntangibles" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_FixedSeniorLoansMember" name="FixedSeniorLoansMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_RepurchaseAgreementsUnpaidPrincipalBalance" name="RepurchaseAgreementsUnpaidPrincipalBalance" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_MultifamilyPropertiesVariableRentsMember" name="MultifamilyPropertiesVariableRentsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_InterestRecognitionMethod" name="InterestRecognitionMethod" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_LoansReceivableSoldGross" name="LoansReceivableSoldGross" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoanReceivableUnpaidPrincipalBalanceSpecificReserves" name="LoanReceivableUnpaidPrincipalBalanceSpecificReserves" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_ProceedsFromCollectionOfNetLoansReceivable" name="ProceedsFromCollectionOfNetLoansReceivable" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_SummaryOfNotesPayableTableTextBlock" name="SummaryOfNotesPayableTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_CashBasisIncomeFromNonAccrualLoan" name="CashBasisIncomeFromNonAccrualLoan" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_PercentageOfRecourseIndebtedness" name="PercentageOfRecourseIndebtedness" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_O2026Q2DividendsMember" name="O2026Q2DividendsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_InPlaceAboveMarketAndOtherLeaseValuesNet" name="InPlaceAboveMarketAndOtherLeaseValuesNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_AdditionalProvisionOfLoansReceivableReversalOfGeneralCeclReserve" name="AdditionalProvisionOfLoansReceivableReversalOfGeneralCeclReserve" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_ScheduleOfLoansReceivableAllowanceForCreditLossesTable" name="ScheduleOfLoansReceivableAllowanceForCreditLossesTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_OneMonthLIBORMember" name="OneMonthLIBORMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_ScheduleOfLoansReceivableAllowanceForCreditLossesLineItems" name="ScheduleOfLoansReceivableAllowanceForCreditLossesLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_TermParticipationFacilityUnpaidPrincipalBalance" name="TermParticipationFacilityUnpaidPrincipalBalance" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_RealEstateHeldForUsePolicyTextBlock" name="RealEstateHeldForUsePolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_LoanReceivableOriginatedFiveYearsRecoveryOfPrincipalCharge-OffsBeforeLatestFiscalYear" name="LoanReceivableOriginatedFiveYearsRecoveryOfPrincipalCharge-OffsBeforeLatestFiscalYear" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_DebtToRealEstateOwnedHotelPortfolioMember" name="DebtToRealEstateOwnedHotelPortfolioMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_GeneralCurrentExpectedCreditLossAllowance" name="GeneralCurrentExpectedCreditLossAllowance" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_LandLoanOneMember" name="LandLoanOneMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_PercentageOfAggregateCashProceedsFromEquityIssuancesCapitalContributionsAndSubscriptionsNet" name="PercentageOfAggregateCashProceedsFromEquityIssuancesCapitalContributionsAndSubscriptionsNet" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_MixedUsePropertyVariableRentsMember" name="MixedUsePropertyVariableRentsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_RemainingCapitalCommitment" name="RemainingCapitalCommitment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_TangibleNetworthAsOfMeasurementDate" name="TangibleNetworthAsOfMeasurementDate" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_InterestExpenseExcludesInterestExpenseFromRealEstateOwnedDebt" name="InterestExpenseExcludesInterestExpenseFromRealEstateOwnedDebt" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoanPortfolioMember" name="LoanPortfolioMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_TransferToHeld-For-SaleAccumulatedDepreciation" name="TransferToHeld-For-SaleAccumulatedDepreciation" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_OfficeMember" name="OfficeMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LoansReceivableNetOfSpecificCECLReserve" name="LoansReceivableNetOfSpecificCECLReserve" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_SoutheastMember" name="SoutheastMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_RealEstateEstimatedFairValueDeterminedByThirdPartyAppraisal" name="RealEstateEstimatedFairValueDeterminedByThirdPartyAppraisal" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_O2026Q1DividendsMember" name="O2026Q1DividendsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_ForSaleCondoMember" name="ForSaleCondoMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LoanReceivablePercentNonAccrual" name="LoanReceivablePercentNonAccrual" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_NotesPayableOneMember" name="NotesPayableOneMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_InPlaceAboveMarketAndOtherLeaseIntangiblesAccumulatedAmortization" name="InPlaceAboveMarketAndOtherLeaseIntangiblesAccumulatedAmortization" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_PaymentsForAdvancesOnLoansReceivableHeldForSale" name="PaymentsForAdvancesOnLoansReceivableHeldForSale" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_PaymentOfFeesOnSecuredFinancings" name="PaymentOfFeesOnSecuredFinancings" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_MidwestMember" name="MidwestMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_VariableSubordinateLoansMember" name="VariableSubordinateLoansMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_OfficeBuildingOneMember" name="OfficeBuildingOneMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_RealEstateOwnedHeld-For-SaleMember" name="RealEstateOwnedHeld-For-SaleMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_OriginalIssueDiscountAndDeferredFinancingCosts" name="OriginalIssueDiscountAndDeferredFinancingCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_ScheduleOfInterestIncomeAndAccretionTableTextBlock" name="ScheduleOfInterestIncomeAndAccretionTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_AccretionOfOriginationFeesAndDiscountsOnLoansReceivableNet" name="AccretionOfOriginationFeesAndDiscountsOnLoansReceivableNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_AdditionalProvisionForLoansReceivableSpecificCECLReserve" name="AdditionalProvisionForLoansReceivableSpecificCECLReserve" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_CapitalExpendituresRealEstateOwnedHeld-For-InvestmentNet" name="CapitalExpendituresRealEstateOwnedHeld-For-InvestmentNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoanReceivableOriginatedTwoYearsBeforeLatestFiscalYear" name="LoanReceivableOriginatedTwoYearsBeforeLatestFiscalYear" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_SaleOfMultifamilyPropertyAccumulatedDepreciation" name="SaleOfMultifamilyPropertyAccumulatedDepreciation" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedEquity" name="BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedEquity" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_NotePayableCarryingValue" name="NotePayableCarryingValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_InterestOnCashAndCashEquivalentsAndOtherIncome" name="InterestOnCashAndCashEquivalentsAndOtherIncome" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_TermParticipationFacility" name="TermParticipationFacility" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_MixedUseLifeScienceMember" name="MixedUseLifeScienceMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LoansReceivableHeldForInvestmentUnpaidPrincipalBalance" name="LoansReceivableHeldForInvestmentUnpaidPrincipalBalance" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_NonEmployeeBoardMembersMember" name="NonEmployeeBoardMembersMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_WeightedAverageTermToFullyExtendedMaturity" name="WeightedAverageTermToFullyExtendedMaturity" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_LoansReceivableHeldForInvestmentNet" name="LoansReceivableHeldForInvestmentNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_DebtInstrumentRealEstateOwnedNetLineItems" name="DebtInstrumentRealEstateOwnedNetLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_InterestRateCapOneMember" name="InterestRateCapOneMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_NortheastMember" name="NortheastMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_InPlaceAndOtherLeaseValuesAmortizationIncomeRemainderOfFiscalYear" name="InPlaceAndOtherLeaseValuesAmortizationIncomeRemainderOfFiscalYear" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_GeographicLocationTypeMember" name="GeographicLocationTypeMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_CommonStockValueAvailableForFutureIssuance" name="CommonStockValueAvailableForFutureIssuance" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_HospitalityLoanMember" name="HospitalityLoanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LossFromValuationAdjustmentForRealEstateOwnedHeld-For-Sale" name="LossFromValuationAdjustmentForRealEstateOwnedHeld-For-Sale" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_InterestExpenseOnMultifamilyRealEstateOwnedProperties" name="InterestExpenseOnMultifamilyRealEstateOwnedProperties" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_CarryingValueMember" name="CarryingValueMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_AccretionOfFeesAndDiscountsOnLoansReceivable" name="AccretionOfFeesAndDiscountsOnLoansReceivable" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_InterestExpenseOnSecuredFinancing" name="InterestExpenseOnSecuredFinancing" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoansReceivablePortfolioMember" name="LoansReceivablePortfolioMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LoansReceivableHeldForInvestmentCurrentExpectedCreditLossReserve" name="LoansReceivableHeldForInvestmentCurrentExpectedCreditLossReserve" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_CouponInterest" name="CouponInterest" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_LoansReceivablePercentageOfUnpaidPrincipalBalance" name="LoansReceivablePercentageOfUnpaidPrincipalBalance" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_ValuationAdjustmentForRealEstateOwnedHeldForSale" name="ValuationAdjustmentForRealEstateOwnedHeldForSale" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_BasicEarningsLossAvailableToCommonShareholders" name="BasicEarningsLossAvailableToCommonShareholders" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_LongTermDebtInitialMaturity" name="LongTermDebtInitialMaturity" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_NotesPayableUnpaidPrincipalBalance" name="NotesPayableUnpaidPrincipalBalance" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_AmortizationOfDeferredFinancingCostsOnDebtRelatedToRealEstateOwnedHotelPortfolio" name="AmortizationOfDeferredFinancingCostsOnDebtRelatedToRealEstateOwnedHotelPortfolio" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoanAccruedInterestReceivable" name="LoanAccruedInterestReceivable" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_InterestRecognized" name="InterestRecognized" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_NewSecuredTermLoanMember" name="NewSecuredTermLoanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LoanMaturityPeriod" name="LoanMaturityPeriod" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_DebtRelatedToRealEstateOwnedOriginalBalance" name="DebtRelatedToRealEstateOwnedOriginalBalance" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_CapitalExpendituresOnRealEstateOwnedHeldForSale" name="CapitalExpendituresOnRealEstateOwnedHeldForSale" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoansReceivableSoldUnpaidPrincipalBalance" name="LoansReceivableSoldUnpaidPrincipalBalance" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoanReceivableSpecificReserve" name="LoanReceivableSpecificReserve" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_LoansReceivableAllowanceForCreditLossReservePercentage" name="LoansReceivableAllowanceForCreditLossReservePercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_RepurchaseAgreementsAndTermParticipationFacilityMember" name="RepurchaseAgreementsAndTermParticipationFacilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_ScheduleOfIncomeLossBeforeIncomeTaxesLineItems" name="ScheduleOfIncomeLossBeforeIncomeTaxesLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_RepaymentsOfDebtRelatedToRealEstateOwnedHotelPortfolio" name="RepaymentsOfDebtRelatedToRealEstateOwnedHotelPortfolio" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_RepaymentsOfSecuredTermLoan" name="RepaymentsOfSecuredTermLoan" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_PaymentOfTransactionCostsFromForeclosuresOfRealEstateOwned" name="PaymentOfTransactionCostsFromForeclosuresOfRealEstateOwned" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoanReceivableOriginatedThreeYearsBeforeLatestFiscalYear" name="LoanReceivableOriginatedThreeYearsBeforeLatestFiscalYear" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_MultifamilyTwoMember" name="MultifamilyTwoMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_ScheduleOfMortgageLoansTableTextBlock" name="ScheduleOfMortgageLoansTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_GrossProceedsFromSaleOfLoansReceivable" name="GrossProceedsFromSaleOfLoansReceivable" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_SpecificCECLReserveOnLoansReceivableHeldForInvestmentMember" name="SpecificCECLReserveOnLoansReceivableHeldForInvestmentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_ScheduleOfLeaseIntangiblesTableTextBlock" name="ScheduleOfLeaseIntangiblesTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_MortgageForeclosureLoanMember" name="MortgageForeclosureLoanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_TimeBasedRestrictedStockUnitsMember" name="TimeBasedRestrictedStockUnitsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_MinimumPercentageOfIncentiveFeeToBePaidInShare" name="MinimumPercentageOfIncentiveFeeToBePaidInShare" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="cmtg_RealEstateOwnedOperatingExpenses" name="RealEstateOwnedOperatingExpenses" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_TermParticipationFacilityFairValueDisclosure" name="TermParticipationFacilityFairValueDisclosure" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_TenantImprovementsMember" name="TenantImprovementsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_WellsFargoBankNAMember" name="WellsFargoBankNAMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_ProvisionForReversalOfCurrentExpectedCreditLoss" name="ProvisionForReversalOfCurrentExpectedCreditLoss" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_MultifamilyRealEstateOwnedMember" name="MultifamilyRealEstateOwnedMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_ValuationAdjustmentForLoanReceivableHeld-For-Sale" name="ValuationAdjustmentForLoanReceivableHeld-For-Sale" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="cmtg_AccruedInterestReceivableMember" name="AccruedInterestReceivableMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_ForeclosureOfMultifamilyPropertyIncludingCapitalizedTransactionCostsRealEstateOwnedHeld-For-InvestmentNet" name="ForeclosureOfMultifamilyPropertyIncludingCapitalizedTransactionCostsRealEstateOwnedHeld-For-InvestmentNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_ForbearanceAgreementMember" name="ForbearanceAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="cmtg_LossOnRealEstateOwnedHeld-For-Sale" name="LossOnRealEstateOwnedHeld-For-Sale" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_LoansReceivableReversalOfGeneralCeclReserve" name="LoansReceivableReversalOfGeneralCeclReserve" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="cmtg_AmortizationOfFinancingCostsIncludedInInterestExpenseOnDebtRelatedToRealEstateOwned" name="AmortizationOfFinancingCostsIncludedInInterestExpenseOnDebtRelatedToRealEstateOwned" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
</xsd:schema>
