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Redeemable Convertible Preferred Stock and Stockholders' Equity (Details) - USD ($)
1 Months Ended 9 Months Ended
Jun. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Jul. 12, 2022
Stockholders Equity [Abstract]        
Dividends declared or paid   $ 0    
IPO [Member]        
Stockholders Equity [Abstract]        
Shares issued and sold (in shares) 2,650,000      
Share price (in dollars per share) $ 13      
Proceeds from issuance after deducting underwriting discounts, commissions, and legal expenses $ 31,613,500      
Deferred offering costs 2,016,143      
Legal expenses incurred paid by underwriters $ 425,000      
Automatic conversion of preferred stock (in shares) 8,116,343      
Common stock sold (in shares) 2,650,000      
Common Stock [Member]        
Stockholders Equity [Abstract]        
Shares issued and sold (in shares)   0 2,650,000  
Automatic conversion of preferred stock (in shares)     8,116,343  
Number of shares authorized, for all classes of stock (in shares)   200,000,000    
Authorized offering amount of securities       $ 8,800,000
Common stock sold (in shares)   0 2,650,000  
Preferred Stock [Member]        
Stockholders Equity [Abstract]        
Shares issued and sold (in shares)     0  
Automatic conversion of preferred stock (in shares)     (17,210,609)  
Number of shares authorized, for all classes of stock (in shares)   10,000,000    
Common stock sold (in shares)     0