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Stock-Based Compensation (Details) - USD ($)
12 Months Ended
Jan. 01, 2025
Nov. 09, 2023
Sep. 30, 2025
Sep. 30, 2024
May 20, 2025
Sep. 30, 2023
Oct. 31, 2021
Stock-Based Compensation [Line Items]              
Granted shares     3,336,571 1,225,669      
Grant date fair value of options granted (in Dollars per share)     $ 0.5 $ 1.08      
Total share based expenses (in Dollars)     $ 1,264,608 $ 1,344,476      
Aggregate intrinsic per share (in Dollars per share)     $ 0.89 $ 0.99      
Stock options outstanding     6,083,167 2,814,096   1,708,427  
Number of options exercised          
Stock Options [Member]              
Stock-Based Compensation [Line Items]              
Stock options expiration period     10 years        
Total share based expenses (in Dollars)     $ 779,428 $ 808,057      
Stock options outstanding     2,772,156 2,780,581      
Stock options forfeited     67,500 120,000      
Equity Option [Member]              
Stock-Based Compensation [Line Items]              
Stock options vested     810,476 289,072      
Number of options exercised          
Restricted Stock Units (RSUs) [Member]              
Stock-Based Compensation [Line Items]              
Total share based expenses (in Dollars)     $ 485,180 $ 536,419      
Restricted stock units granted     83,334 1,006,725      
Restricted stock units, grant date fair value (in Dollars per share)     $ 1.2 $ 1.03      
Restricted stock units vest     397,900 270,333      
Restricted stock units forfeited     2,500 0      
Minimum [Member] | Stock Options [Member]              
Stock-Based Compensation [Line Items]              
Share-based compensation granted, vesting period     1 year        
Maximum [Member] | Stock Options [Member]              
Stock-Based Compensation [Line Items]              
Share-based compensation granted, vesting period     4 years        
2021 Inducement Plan [Member]              
Stock-Based Compensation [Line Items]              
Number of shares grants             420,350
Amended Inducement Plan [Member]              
Stock-Based Compensation [Line Items]              
Number of shares issuance   150,000          
Number of shares authorized         575,000    
2017 Plan and Evergreen Provision [Member]              
Stock-Based Compensation [Line Items]              
Number of share added 1,124,446            
2025 Inducement Plan [Member]              
Stock-Based Compensation [Line Items]              
Shares available for future issuance     1,761,970        
Unrecognized stock-based compensation (in Dollars)     $ 2,869,224        
Share-based compensation expected to be recognized, term     3 years 2 months 12 days        
Common Stock [Member] | 2025 Equity Incentive Plan [Member]              
Stock-Based Compensation [Line Items]              
Authorized to issue shares in future     3,000,000