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Stock-Based Compensation (Details) - USD ($) |  |  |  |  |  |  |  |  |  | 3 Months Ended | 9 Months Ended
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | ---
Sep. 17, 2025 | Aug. 13, 2025 | Aug. 04, 2025 | Jul. 05, 2025 | Mar. 31, 2025 | Feb. 05, 2025 | Jan. 01, 2025 | Mar. 13, 2024 | Mar. 06, 2024 | Sep. 30, 2025 | Sep. 30, 2025
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Effective date of the closing term |  |  |  |  |  |  |  |  |  |  | 3 years
Weighted average price (in Dollars per share) |  |  |  |  |  |  |  |  |  | $ 15 | $ 15
Total issued and outstanding capital stock rate |  |  |  |  |  |  |  |  |  |  | 1.00%
Compensation expense |  |  |  |  |  |  |  |  |  | $ 269,530 | $ 1,554,202
Unrecognized compensation expense |  |  |  |  |  |  |  |  |  |  | $ 505,086
Vesting period |  |  |  |  |  |  |  |  |  |  | 1 year 4 months 13 days
Restricted shares (in Shares) |  | 168,500 | 350,000 |  |  |  |  |  |  |  |
Percentage of related expense and deduction items |  |  |  |  |  |  |  |  |  |  | 100.00%
Earn shares (in Shares) |  |  |  |  |  |  | 40 |  |  |  |
Shares issued price per share (in Dollars per share) |  |  |  |  |  |  |  |  |  | $ 5 | $ 5
Level 1 [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Fair value per share (in Dollars per share) |  |  |  | $ 2.79 |  | $ 2.57 |  | $ 6.97 |  |  |
Share-Based Payment Arrangement, Tranche One [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Percentage of grants of vested shares |  |  |  |  |  |  |  |  |  |  | 50.00%
Share-Based Payment Arrangement, Tranche Two [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Percentage of grants of vested shares |  |  |  |  |  |  |  |  |  |  | 50.00%
Chief Executive Officer [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Weighted average price (in Dollars per share) |  |  |  |  |  |  |  |  |  | 12.5 | $ 12.5
Total issued and outstanding capital stock rate |  |  |  |  |  |  |  |  |  |  | 1.00%
2024 Omnibus Incentive Plan [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Outstanding shares (in Shares) |  |  |  |  |  |  |  |  | 3,220,400 |  |
Rate of outstanding shares |  |  |  |  |  |  |  |  | 2.00% |  |
Weighted average price (in Dollars per share) |  |  |  |  |  |  |  |  |  | $ 7.5 | $ 7.5
Total issued and outstanding capital stock rate |  |  |  |  |  |  |  |  |  |  | 1.00%
2024 Omnibus Incentive Plan [Member] | Chief Executive Officer [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Vested shares (in Shares) |  |  |  |  |  |  |  |  |  |  | 50,000
2024 Omnibus Incentive Plan One [Member] | Chief Executive Officer [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Vested shares (in Shares) |  |  |  |  |  |  |  |  |  |  | 50,000
2024 Omnibus Incentive Plan Two [Member] | Chief Executive Officer [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Vested shares (in Shares) |  |  |  |  |  |  |  |  |  |  | 50,000
March 2024 Grant [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Compensation expense |  |  |  |  |  |  |  |  |  |  | $ 359,566
February 2025 Grants [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Compensation expense |  |  |  |  |  |  |  |  |  | $ 282,309 | $ 875,229
Vesting period |  |  |  |  |  |  |  |  |  |  | 2 years 4 months 6 days
July Two Thousand Twenty Five Grants [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Compensation expense |  |  |  |  |  |  |  |  |  | 31,034 | $ 31,034
Vesting period |  |  |  |  |  |  |  |  |  |  | 2 years 9 months 3 days
Sun Managers LLC [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Compensation expense |  |  |  |  |  |  |  |  |  | 840,000 | $ 840,000
August Thirteen Two Thousand Twenty Five [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Compensation expense |  |  |  |  |  |  |  |  |  | 384,180 | 384,180
September Seventeen Two Thousand Twenty Five [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Compensation expense |  |  |  |  |  |  |  |  |  | 288,150 | $ 288,150
Restricted shares (in Shares) | 255,000 |  |  |  |  |  |  |  |  |  |
Seasonal Manager Stock Compensation Plan [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Restricted shares (in Shares) |  |  |  |  |  |  |  |  |  |  | 577,910
Sun Managers LLC [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Compensation expense |  |  |  |  |  |  |  |  |  | 109,975 | $ 655,082
Vesting period |  |  |  |  |  |  |  |  |  |  | 6 months
Class A Common Stock [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Restricted shares (in Shares) |  |  |  |  | 875,000 | 275,000 |  |  |  |  |
Restricted shares (in Shares) |  |  |  | 140,000 |  |  |  |  |  |  |
Class A Common Stock [Member] | Incentive Plan [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Restricted shares (in Shares) |  |  |  |  |  | 790,000 |  |  |  |  |
Class A Common Stock [Member] | Sun Managers LLC [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Compensation expense |  |  |  |  |  |  |  |  |  | $ 528,500 | $ 1,321,250
Class A Common Stock [Member] | Sun Managers LLC [Member] | Management Incentive Plan [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Compensation expense |  |  |  |  |  |  |  |  |  |  | $ 217,564
Minimum [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Consecutive trading days period |  |  |  |  |  |  |  |  |  |  | 20 days
Minimum [Member] | Chief Executive Officer [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Consecutive trading days period |  |  |  |  |  |  |  |  |  |  | 20 days
Minimum [Member] | March 2024 Grant [Member] | Chief Executive Officer [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Consecutive trading days period |  |  |  |  |  |  |  |  |  |  | 20 days
Maximum [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Consecutive trading days period |  |  |  |  |  |  |  |  |  |  | 30 days
Maximum [Member] | Chief Executive Officer [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Consecutive trading days period |  |  |  |  |  |  |  |  |  |  | 30 days
Maximum [Member] | March 2024 Grant [Member] | Chief Executive Officer [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Consecutive trading days period |  |  |  |  |  |  |  |  |  |  | 30 days
Maximum [Member] | February 2025 Grants [Member] |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Compensation expense |  |  |  |  |  |  |  |  |  |  | $ 1,677,637

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