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Stock-Based Compensation - Schedule of Stock-Based Compensation Expense (Details) - USD ($)
3 Months Ended 6 Months Ended
Mar. 31, 2025
Mar. 31, 2024
Mar. 31, 2025
Mar. 31, 2024
Schedule of Stock-Based Compensation Expense [Line Items]        
Total stock-based compensation expense $ 250,170 $ 356,858 $ 589,394 $ 665,496
Selling, general and administrative [Member]        
Schedule of Stock-Based Compensation Expense [Line Items]        
Total stock-based compensation expense 195,559 280,516 465,189 523,714
Research and development [Member]        
Schedule of Stock-Based Compensation Expense [Line Items]        
Total stock-based compensation expense $ 54,611 $ 76,342 $ 124,205 $ 141,782