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Fair Value Measurements - Summary of Significant Inputs which the Fair Value Measurements Associated with Convertible Note (Details) - Convertible Notes [Member]
Sep. 30, 2025
Dec. 31, 2024
Risk-free rate (continuously compounded) [Member]    
Fair Value Measurement Inputs and Valuation Techniques [Line Items]    
Convertible note measurement input method 3.64 0
Fold volatility (annual) [Member]    
Fair Value Measurement Inputs and Valuation Techniques [Line Items]    
Convertible note measurement input method 99.71 0
Bitcoin volatility (annual) [Member]    
Fair Value Measurement Inputs and Valuation Techniques [Line Items]    
Convertible note measurement input method 56.87 0
Note term [Member]    
Fair Value Measurement Inputs and Valuation Techniques [Line Items]    
Convertible note measurement input method 4.43 0
Fold stock price [Member]    
Fair Value Measurement Inputs and Valuation Techniques [Line Items]    
Convertible note measurement input method 3.86 0
Bitoin price [Member]    
Fair Value Measurement Inputs and Valuation Techniques [Line Items]    
Convertible note measurement input method 114,056.09 0
Correlation (Fold and Bitcoin) [Member]    
Fair Value Measurement Inputs and Valuation Techniques [Line Items]    
Convertible note measurement input method 0.4062 0
Conversion price [Member]    
Fair Value Measurement Inputs and Valuation Techniques [Line Items]    
Convertible note measurement input method 12.5 0
Dividend yield (annual) [Member]    
Fair Value Measurement Inputs and Valuation Techniques [Line Items]    
Convertible note measurement input method 0 0