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Stock-Based Compensation - Schedule of Stock-Based Compensation Expense (Details) - USD ($)
 3 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Schedule of Stock-Based Compensation Expense [Line Items]    
Total stock-based compensation expense $ 339,224 $ 308,638
Selling, general and administrative [Member]    
Schedule of Stock-Based Compensation Expense [Line Items]    
Total stock-based compensation expense 269,629 243,198
Research and development [Member]    
Schedule of Stock-Based Compensation Expense [Line Items]    
Total stock-based compensation expense $ 69,595 $ 65,440