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Share-Based Compensation - Additional Information (Details) - USD ($)
1 Months Ended 3 Months Ended 9 Months Ended
Apr. 05, 2023
Jun. 30, 2024
Mar. 31, 2024
Feb. 29, 2024
Jan. 31, 2024
Mar. 31, 2025
Dec. 31, 2024
Mar. 31, 2024
Sep. 30, 2024
Jan. 01, 2025
Share-Based Compensation [Line Items]                    
Number of options granted (in Shares)           0        
Exercise price (in Dollars per share)           $ 0.28        
Grant date fair value converted price (in Dollars per share) $ 0.14                  
Options to purchase (in Shares)           147,579 85,496   67,495  
Total purchase price           $ 41,759 $ 37,453   $ 33,073  
Unrecognized compensation cost           $ 2,800,000        
Weighted average period           2 years 11 months 15 days        
Total intrinsic value of options           $ 1,100,000        
Aggregate intrinsic value of options outstanding and exercisable           $ 4,500,000        
Number of outstanding options (in Shares)           2,378,173 2,537,602      
Common stock reserved for issuance                   559,286
Stock-based compensation expense           $ 984,393      
2024 Employee Stock Purchase Plan [Member]                    
Share-Based Compensation [Line Items]                    
Percentage of fair market value           85.00%        
Number of shares of common stock outstanding, percentage           1.00%        
Percentage of employee's eligible compensation           15.00%        
Maximum contribution of employee's eligible compensation for purchase of stock           $ 25,000        
Number of shares issued           0   0    
Common stock reserved for issuance           1,074,213        
Minimum [Member] | 2024 Employee Stock Purchase Plan [Member]                    
Share-Based Compensation [Line Items]                    
Options to purchase (in Shares)           12,000        
Legacy Montana Options [Member]                    
Share-Based Compensation [Line Items]                    
Terms of award           seven years        
Number of outstanding options (in Shares)           1,026,508        
Restricted Stock Units with Service-Only Conditions [Member]                    
Share-Based Compensation [Line Items]                    
Stock granted           465,044        
Unrecognized compensation cost           $ 6,800,000        
Weighted average period           2 years 11 months 1 day        
Restricted Stock Units with Service-Only Conditions [Member] | Employees [Member]                    
Share-Based Compensation [Line Items]                    
Stock granted           357,764        
Restricted Stock Units with Service-Only Conditions [Member] | Non-employee Equity Method Investees [Member]                    
Share-Based Compensation [Line Items]                    
Stock granted           107,280        
Restricted Stock Units with Service-Only Conditions [Member] | Awards Vest [Member]                    
Share-Based Compensation [Line Items]                    
Percentage of vest shares           33.33%        
Restricted Stock Units with Market-Based Conditions [Member]                    
Share-Based Compensation [Line Items]                    
Stock granted           496,483        
Unrecognized compensation cost           $ 4,800,000        
Weighted average period           2 years 10 months 13 days        
Restricted Stock Units with Market-Based Conditions [Member] | Employees [Member]                    
Share-Based Compensation [Line Items]                    
Stock granted           475,298        
Restricted Stock Units with Market-Based Conditions [Member] | Non-employee Equity Method Investees [Member]                    
Share-Based Compensation [Line Items]                    
Stock granted           21,185        
Restricted Stock Units with Performance-Based Conditions [Member]                    
Share-Based Compensation [Line Items]                    
Stock granted           201,279        
Stock-based compensation expense           $ 0        
Restricted Stock Units with Performance-Based Conditions [Member] | Employees [Member]                    
Share-Based Compensation [Line Items]                    
Stock granted           192,691        
Restricted Stock Units with Performance-Based Conditions [Member] | Non-employee Equity Method Investees [Member]                    
Share-Based Compensation [Line Items]                    
Stock granted           8,588        
2024 Incentive Award Plan [Member]                    
Share-Based Compensation [Line Items]                    
Common stock reserved for issuance           5,120,881        
Awards granted           $ 500,000        
Non-employee director, post combination           1,000,000        
2024 Incentive Award Plan [Member] | Related Party [Member]                    
Share-Based Compensation [Line Items]                    
Due from related party receivable           $ 84,684        
Stock Option [Member]                    
Share-Based Compensation [Line Items]                    
Number of options           575,955        
Options expire term           Dec. 07, 2030        
Stock Option [Member]                    
Share-Based Compensation [Line Items]                    
Number of options           71,395        
Options expire term           Mar. 15, 2031        
Stock Option [Member]                    
Share-Based Compensation [Line Items]                    
Number of options           169,158        
Options expire term           Apr. 04, 2030        
Stock Option [Member]                    
Share-Based Compensation [Line Items]                    
Number of options           210,000        
Options expire term           Apr. 08, 2031        
Class A Common Stock [Member]                    
Share-Based Compensation [Line Items]                    
Number of options granted (in Shares) 383,151                  
Exercise price (in Dollars per share) $ 0.49                  
Options to purchase (in Shares)   8,000 2,141,839 2,141,839 2,141,839          
Total purchase price   $ 3,920 $ 56,250 $ 56,250 $ 56,250