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Preferred Stock and Common Stock - Authorized (Details) - $ / shares
1 Months Ended
Oct. 31, 2021
Sep. 30, 2022
Dec. 31, 2021
Preferred stock and Common stock      
Preferred stock, shares authorized   5,000,000 5,000,000
Preferred stock, par value (in dollars per share)   $ 0.0001 $ 0.0001
Common stock, shares authorized   200,000,000 200,000,000
Common stock, par value (in dollars per share)   $ 0.0001 $ 0.0001
Common Stock      
Preferred stock and Common stock      
Conversion of convertible preferred stock into common stock upon initial public offering (in shares) 18,398,248