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Equity-Based Compensation - Assumptions (Details) - Employee Stock Option
9 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Assumptions used in determining the fair value of options    
Risk-free interest rate 4.09% 3.87%
Expected dividend yield 0.00% 0.00%
Expected term (years to liquidity) 6 years 6 years 1 month 13 days
Expected volatility 91.15% 90.54%