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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 |  |  |  |  |

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