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Class A Common Stock Subject to Possible Redemption (Details)
 9 Months Ended 11 Months Ended 12 Months Ended
Sep. 30, 2022
USD ($)
vote
$ / shares
shares
Dec. 31, 2021
USD ($)
$ / shares
shares
Dec. 31, 2021
USD ($)
$ / shares
shares
Sep. 30, 2021
USD ($)
shares
Dec. 31, 2020
USD ($)
$ / shares
shares
Dec. 31, 2019
USD ($)
shares
Temporary Equity [Line Items]            
Common shares, shares authorized (in shares) | shares 36,326,815 36,326,815 36,326,815   36,326,815  
Common shares, par value (usd per share) | $ / shares $ 0.0001 $ 0.0001 $ 0.0001   $ 0.0001  
Common stock subject to possible redemption, outstanding | shares 29,521,810 29,521,810 29,521,810 29,521,810 25,729,542 23,695,330
Plus:            
Class A common stock subject to possible redemption $ 480,631,000 $ 480,631,000 $ 480,631,000 $ 480,631,000 $ 394,408,000 $ 347,938,000
Class A Common stock            
Temporary Equity [Line Items]            
Common shares, shares authorized (in shares) | shares 280,000,000 280,000,000 280,000,000      
Common shares, par value (usd per share) | $ / shares $ 0.0001 $ 0.0001 $ 0.0001      
Number of votes per common stock | vote 1          
Common stock subject to possible redemption, outstanding | shares   15,000,000 15,000,000      
Gross proceeds from Initial Public Offering   $ 150,000,000        
Less:            
Amount allocated to public warrants   (5,100,000)        
Class A common stock issuance costs   (13,306,092)        
Plus:            
Accretion of carrying value to redemption value   18,406,092        
Class A common stock subject to possible redemption   $ 150,000,000 $ 150,000,000      
Class A Common Stock Subject to Redemption            
Temporary Equity [Line Items]            
Common shares, par value (usd per share) | $ / shares   $ 0.0001 $ 0.0001      
Common stock subject to possible redemption, outstanding | shares 15,000,000 15,000,000 15,000,000      
Gross proceeds from Initial Public Offering     $ 150,000,000      
Less:            
Amount allocated to public warrants     (5,100,000)      
Class A common stock issuance costs     (13,306,092)      
Plus:            
Accretion of carrying value to redemption value     18,406,092      
Subsequent remeasurement of Class A common stock subject to possible redemption $ 293,649          
Class A common stock subject to possible redemption $ 150,293,649 $ 150,000,000 $ 150,000,000