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Common Stock - IPO (Details) - USD ($)
Aug. 03, 2021
Sep. 30, 2022
Dec. 31, 2021
Class of Stock [Line Items]      
Convertible preferred stock, outstanding (in shares) 8,528,078    
Preferred stock authorized (in shares)   10,000,000 10,000,000
Class A Common Stock      
Class of Stock [Line Items]      
Shares issued 1,125,000    
Convertible preferred stock, outstanding (in shares) 11,939,281    
Common stock, shares authorized (in shares)   200,000,000 200,000,000
Common stock, par value per share (in dollars per share)   $ 0.001 $ 0.001
Class B Common Stock      
Class of Stock [Line Items]      
Common stock, shares authorized (in shares)   20,000,000 20,000,000
Common stock, par value per share (in dollars per share)   $ 0.001 $ 0.001
IPO      
Class of Stock [Line Items]      
Proceeds from Stock issued $ 120,318,750    
Offering costs $ 2,124,317    
Convertible preferred stock, outstanding (in shares) 8,528,078    
Preferred stock authorized (in shares) 10,000,000    
IPO | Class A Common Stock      
Class of Stock [Line Items]      
Shares issued 8,625,000    
Common stock, shares authorized (in shares) 200,000,000    
IPO | Class B Common Stock      
Class of Stock [Line Items]      
Common stock, shares authorized (in shares) 20,000,000    
Common stock, par value per share (in dollars per share) $ 0.001