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Equity-based Compensation - Fair value of options (Details) - $ / shares
3 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Fair value of common stock (in dollars per share)   $ 3.05
Expected volatility   91.29%
Expected volatility, minimum 92.29%  
Expected volatility, maximum 92.68%  
Risk-free interest rate   2.36%
Risk-free interest rate, minimum 3.46%  
Risk-free interest rate, maximum 4.21%  
Dividend yield 0.00% 0.00%
Expected term (years)   6 years 29 days
Minimum    
Fair value of common stock (in dollars per share) $ 1.65  
Expected term (years) 6 years 2 months 4 days  
Maximum    
Fair value of common stock (in dollars per share) $ 2.12  
Expected term (years) 6 years 2 months 15 days