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Equity-Based Compensation - Assumptions (Details) - Stock Options
9 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Assumptions used in determining the fair value of options    
Risk-free interest rate 2.99% 0.77%
Expected dividend yield 0.00% 0.00%
Expected term (years to liquidity) 5 years 11 months 19 days 6 years 2 months 15 days
Expected volatility 88.47% 87.79%