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Shareholders' Equity and Share-Based Payments (Details)
3 Months Ended 6 Months Ended
Apr. 18, 2024
shares
Mar. 31, 2025
USD ($)
shares
Dec. 31, 2024
USD ($)
D
$ / shares
shares
Mar. 31, 2024
USD ($)
shares
Mar. 31, 2025
USD ($)
shares
Mar. 31, 2024
USD ($)
shares
Sep. 30, 2024
shares
Jun. 30, 2024
shares
Shareholders' Equity and Share-Based Payments                
Common stock, shares authorized (in shares)   75,000,000     75,000,000   75,000,000 75,000,000
Preferred stock, shares authorized (in shares)   10,000,000     10,000,000   10,000,000 10,000,000
2019 Plan                
Shareholders' Equity and Share-Based Payments                
Common stock that were authorized but unissued       139,691   139,691    
Additional authorized shares available for issuance 1,950,000              
Number of shares of common stock available for awards under the plan   1,518,517     1,518,517      
Weighted average unrecognized compensation expense | $   $ 348,618     $ 348,618      
Maximum | 2019 Plan                
Shareholders' Equity and Share-Based Payments                
Number of shares of common stock available for awards       750,000   750,000    
MSUs                
Shareholders' Equity and Share-Based Payments                
Granted (in shares)     201,000          
Number of securities called by each award vested     1          
Estimated grant date fair value | $     $ 1,109,340          
Weighted average grant date fair value per award | $ / shares     $ 5.52          
Share-based compensation expense | $   112,834     229,942      
Weighted average unrecognized compensation expense | $   $ 879,398     $ 879,398      
Number of shares vested   0     0      
Number of shares forfeited   0     0      
MSUs | 2019 Plan                
Shareholders' Equity and Share-Based Payments                
Share-based compensation expense | $   $ 405,025   $ 269,338 $ 801,650 $ 475,055    
Weighted average unrecognized compensation expense | $   1,431,266     1,431,266      
MSUs | Minimum                
Shareholders' Equity and Share-Based Payments                
Vesting period     1 year 2 months 12 days          
MSUs | Maximum                
Shareholders' Equity and Share-Based Payments                
Vesting period     1 year 8 months 12 days          
MSUs | Tranche one                
Shareholders' Equity and Share-Based Payments                
Vesting percentage     33.33%          
Vesting price per share | $ / shares     $ 10          
Consecutive trading days | D     20          
MSUs | Tranche two                
Shareholders' Equity and Share-Based Payments                
Vesting percentage     33.33%          
Vesting price per share | $ / shares     $ 12          
Consecutive trading days | D     20          
MSUs | Tranche three                
Shareholders' Equity and Share-Based Payments                
Vesting price per share | $ / shares     $ 14          
Consecutive trading days | D     20          
MSUs | If vesting doesn't happen on or before November 20, 2027 | Tranche one                
Shareholders' Equity and Share-Based Payments                
Vesting price per share | $ / shares     $ 12          
Consecutive trading days | D     20          
Employee | MSUs | 2019 Plan                
Shareholders' Equity and Share-Based Payments                
Share-based compensation expense | $   2   219,748 413,651 375,328    
Non Employee Director | MSUs | 2019 Plan                
Shareholders' Equity and Share-Based Payments                
Share-based compensation expense | $   $ 71,438   $ 49,590 $ 144,464 $ 99,726