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Share-Based Compensation (Details) - USD ($) |  | 3 Months Ended | 6 Months Ended | 12 Months Ended |  |  |  |
--- | --- | --- | --- | --- | --- | --- | --- | ---
Jul. 11, 2024 | Jun. 30, 2024 | Jun. 30, 2023 | Jun. 30, 2024 | Jun. 30, 2023 | Dec. 31, 2023 | Jul. 16, 2024 | Apr. 09, 2024 | Feb. 29, 2024 | Feb. 01, 2024
Share-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Percentage of outstanding shares of common stock |  |  |  |  |  |  | 4.00% |  |  |  |
Remaining shares available for issuance (in Shares) |  |  |  |  |  |  |  | 416,667 |  |  |
Common stock, shares issued (in Shares) | [1] |  | 1,017,198 |  | 1,017,198 |  | 484,187 |  |  |  |
Aggregate of stock options (in Shares) |  |  |  |  | 82,501 |  |  |  |  |  |
Vesting period |  |  |  |  | 5 years |  |  |  |  |  |
Share price (in Dollars per share) |  | $ 63.6 |  |  |  |  |  |  |  |  |
Shares of common stock exercise price (in Shares) |  |  |  |  |  |  |  |  |  | 20,834 |
Common stock shares issued (in Shares) |  |  |  |  | 0 | 77,500 |  |  |  |  |
Share based payments |  |  | $ 2,752,668 | $ 278,583 | $ 2,878,035 | $ 812,013 |  |  |  |  |
Share issued as fully vested (in Shares) |  |  |  |  | 0 | 42,753 |  |  |  |  |
Prepaid and other assets |  |  | 776,471 |  | $ 776,471 |  | $ 948,581 |  |  |  |
Long-Term Prepaid Expense |  |  | 154,412 |  | 154,412 |  | 242,647 |  |  |  |
Amortization of capitalized share-based payments |  |  | $ 2,752,667 | 213,583 | $ 2,878,035 | $ 534,408 |  |  |  |  |
Common Stock [Member] |  |  |  |  |  |  |  |  |  |  |
Share-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Common stock, shares issued (in Shares) |  |  | 5,337 |  | 5,337 |  |  |  | 41,629 |  | 41,630
Common stock shares issued (in Shares) | [2] |  | (10,000) |  |  |  |  |  |  |  |
Florida State University Research Fund, Inc. [Member] |  |  |  |  |  |  |  |  |  |  |
Share-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Share based payments |  |  | $ 2,625,000 |  | $ 2,625,000 |  | $ 2,730,685 |  |  |  |
Two Thousand Twenty Two Equity Incentive Plan [Member] |  |  |  |  |  |  |  |  |  |  |
Share-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Remaining shares available for issuance (in Shares) |  |  | 19,384 |  | 19,384 |  |  |  |  |  |
Restricted Stock Units (RSUs) [Member] |  |  |  |  |  |  |  |  |  |  |
Share-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Common stock, shares issued (in Shares) |  |  | 21,338 |  | 21,338 |  |  |  |  |  |
Research and Development Expense [Member] |  |  |  |  |  |  |  |  |  |  |
Share-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Share based payments |  |  | $ 2,627,300 | 101,250 | $ 2,627,300 | 188,908 |  |  |  |  |
Research and Development Expense [Member] | Florida State University Research Fund, Inc. [Member] |  |  |  |  |  |  |  |  |  |  |
Share-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Share based payments |  |  |  |  | 103,385 |  |  |  |  |  |
Vendors [Member] |  |  |  |  |  |  |  |  |  |  |
Share-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Share based payments |  |  | $ 0 | $ 65,000 | $ 0 | $ 277,605 |  |  |  |  |
Director [Member] |  |  |  |  |  |  |  |  |  |  |
Share-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Aggregate of stock options (in Shares) |  | 2,516 |  |  |  |  |  |  |  |  |
Forecast [Member] |  |  |  |  |  |  |  |  |  |  |
Share-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Percentage of vested |  | 100.00% |  |  |  |  |  |  |  |  |
IPO [Member] |  |  |  |  |  |  |  |  |  |  |
Share-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |
Common stock, shares issued (in Shares) |  |  | 25,335 |  | 25,335 |  |  |  |  |  |
Stock options are subject to vesting (in Shares) |  |  | 45,000 |  | 45,000 |  |  |  |  |  |
Share price (in Dollars per share) |  |  | $ 12 |  | $ 12 |  |  |  |  |  |
[1] | Periods presented have been adjusted to reflect the 1:12 reverse stock split on August 12, 2024. See Note 12 - Subsequent Events for more information.
[2] | Periods presented have been adjusted to reflect the 1:12 reverse stock split on August 12, 2024. See Note 12 - Subsequent Events for more information.

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