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Share-Based Compensation and Employee Benefit Plan - Restricted Shares Units (Details) - Restricted Stock Units (RSUs) - $ / shares
3 Months Ended 9 Months Ended
Sep. 30, 2025
Sep. 30, 2025
Share-Based Compensation Arrangement by Share-Based Payment Award, Non-Option Equity Instruments, Outstanding [Roll Forward]    
Granted (in shares) 1,501,667 10,254,187
2025 Omnibus Equity Incentive Plan    
Share-Based Compensation Arrangement by Share-Based Payment Award, Non-Option Equity Instruments, Outstanding [Roll Forward]    
Unvested at beginning of the year (in shares) 7,165,122 0
Granted (in shares) 3,223,695 11,401,215
Vested (in shares) (1,167,297) (2,179,695)
Unvested at ending of year (in shares) 9,221,520 9,221,520
Weighted Average Grant Date Fair Value    
Unvested at beginning of year, weighted average grant date fair value (usd per share) $ 1.00 $ 0
Granted, weighted average grant date fair value (usd per share) 1.04 1.01
Vested, weighted average grant date fair value (in usd per share) 1.00 1.00
Unvested at end of year, weighted average grant date fair value (usd per share) $ 1.01 $ 1.01