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Fair Value Measurements - Level 3 fair value measurements (Details)
Sep. 30, 2022
$ / shares
item
Y
Dec. 31, 2021
$ / shares
Dec. 31, 2021
item
Dec. 31, 2021
Y
Dec. 31, 2021
Aug. 06, 2021
$ / shares
Y
Exercise price            
Fair Value Measurement Inputs and Valuation Techniques            
Warrants, measurement input 11.50 11.50       11.50
Volatility            
Fair Value Measurement Inputs and Valuation Techniques            
Warrants, measurement input 0.058   0.096   0.096 0.113
Stock price            
Fair Value Measurement Inputs and Valuation Techniques            
Warrants, measurement input 9.79 9.66       9.66
Remaining term (yrs)            
Fair Value Measurement Inputs and Valuation Techniques            
Warrants, measurement input | Y 5.19     5.75   6.51
Risk-free rate            
Fair Value Measurement Inputs and Valuation Techniques            
Warrants, measurement input 0.0397   0.0132   0.0132 0.0099