Fair Value Measurements - Schedule of reconciliation of loans held for investment , at fair value (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended		12 Months Ended
	Sep. 30, 2025	Sep. 30, 2024	Sep. 30, 2025	Sep. 30, 2024	Dec. 31, 2024
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Gains (losses) on loans held for investment, net	$ 1,312	$ 7,126	$ (3,355)	$ 8,418
Origination of Non-MRP+ loans			0	2,825
MRP+ Loans [Member]
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Beginning Balance			201,106	211,295	$ 211,295
Transfers into MRP+ Program					1,146
Gains (losses) on loans held for investment, net			3,280		(154)
Purchase of Non-MRP+ loans					0
Origination of Non-MRP+ loans					0
Collateral foreclosures			(11,200)		(4,900)
Loan repayments			(4,223)		(6,281)
Ending Balance	187,563		187,563		201,106
MRP+ Loans [Member] \| Medallion Loan Value [Member]
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Origination of Non-MRP+ loans			0
MRP+ Loans [Member] \| Settlement Agreement [Member]
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Origination of Non-MRP+ loans			(1,400)
Non-MRP+ Loans [Member]
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Beginning Balance			79,892	$ 123,532	123,532
Transfers into MRP+ Program					(1,146)
Gains (losses) on loans held for investment, net			(6,635)		3,321
Purchase of Non-MRP+ loans					2,825
Origination of Non-MRP+ loans					1,967
Collateral foreclosures			(385)		(40,215)
Loan repayments			(4,173)		(10,392)
Ending Balance	$ 70,594		70,594		$ 79,892
Non-MRP+ Loans [Member] \| Medallion Loan Value [Member]
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Origination of Non-MRP+ loans			495
Non-MRP+ Loans [Member] \| Settlement Agreement [Member]
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]
Origination of Non-MRP+ loans			$ 1,400

Marblegate Capital Corp 10-Q