Fair Value Measurements - Schedule of Market Assumptions used in Valuation of Over-allotment Option and Public Warrants (Details)	Dec. 31, 2024	Nov. 27, 2024
Risk-free interest rate [Member]
Schedule of Market Assumptions used in Valuation of Over-allotment Option and Public Warrants [Line Items]
Derivative liability, measurement input	4.4	4.76
Public warrants, measurement input		4.07
Expected term (years) [Member]
Schedule of Market Assumptions used in Valuation of Over-allotment Option and Public Warrants [Line Items]
Derivative liability, measurement input	0.04	0.12
Public warrants, measurement input		6.5
Expected volatility [Member]
Schedule of Market Assumptions used in Valuation of Over-allotment Option and Public Warrants [Line Items]
Derivative liability, measurement input	4.91	6.23
Exercise price [Member]
Schedule of Market Assumptions used in Valuation of Over-allotment Option and Public Warrants [Line Items]
Derivative liability, measurement input	10	10
Public warrants, measurement input		11.5
Estimated share price [Member]
Schedule of Market Assumptions used in Valuation of Over-allotment Option and Public Warrants [Line Items]
Public warrants, measurement input		9.92
Selected volatility [Member]
Schedule of Market Assumptions used in Valuation of Over-allotment Option and Public Warrants [Line Items]
Public warrants, measurement input		2.7

FACT II Acquisition Corp. 10-Q