Filed pursuant to Rule 424(b)(5)
Registration No. 333-280757
SUPPLEMENT NO. 3 TO
PROSPECTUS SUPPLEMENT DATED OCTOBER 25, 2024
(To Prospectus dated August 6, 2024)

Up to $53,398,964
Common Stock
This prospectus supplement
amends and supplements the prospectus dated August 6, 2024, filed as a part of our registration statement on Form S-3 (File No. 333-280757)
as amended by our prospectus supplements dated October 25, 2024, April 3, 2025, and December 12, 2025 (the “Prior Prospectuses”).
This prospectus supplement should be read in conjunction with the Prior Prospectuses, and is qualified by reference thereto, except to
the extent that the information herein amends or supersedes the information contained in the Prior Prospectuses. This prospectus supplement
is not complete without, and may only be delivered or utilized in connection with, the Prior Prospectuses, and any future amendments or
supplements thereto.
We filed the Prior Prospectuses
to register the offer and sale of our common stock, par value $0.001 per share, from time to time pursuant to the terms of that certain
At The Market Offering Agreement, or the sales agreement, between H.C. Wainwright & Co., LLC, or Wainwright, acting as the agent,
and us (the “ATM Offering”).
We are filing this prospectus supplement to amend the Prior Prospectuses to increase the maximum aggregate gross sales price of our common
stock that may be offered, issued and sold under the sales agreement from and after the date hereof by an additional $36,800,000 or up
to $53,398,964 (the “ATM Offering Size Increase”), not including the shares of common stock previously sold. Under the prospectus
supplement dated October 25, 2024, we initially registered up to $35,000,000 of our common stock for offer and sale pursuant to the sales
agreement, which was reduced to $11,840,454 pursuant to the prospectus supplement dated April 3, 2025, and increased to $20,000,000 pursuant
to the prospectus supplement dated December 12, 2025. As of the date of the filing of this prospectus supplement, we have sold approximately
398,950 shares of our common stock covered by the Prior Prospectuses pursuant to the sales agreement for aggregate gross sales proceeds
of approximately $21,257,000, leaving approximately $16,500,000 remaining under the Prior Prospectuses. This prospectus supplement authorizes
an additional $36,800,000 of common stock for offer and sale or up to $53,398,964 in the aggregate, representing the remaining available
capacity under our registration statement to which this supplement forms a part.
The purpose of this prospectus
supplement is to update the Prior Prospectuses to reflect the ATM Offering Size Increase. Except as modified by this prospectus supplement,
the terms of the ATM Offering remain unchanged, and the sales agreement remains in full force and effect.
Our prior prospectus supplement
dated April 3, 2025 indicated that we were, at that time, subject to General Instruction I.B.6. of Form S-3, which limited the amount
that we were able to sell under the registration statement of which the prospectus forms a part. We are currently no longer subject to
the offering limits imposed by General Instruction I.B.6. of Form S-3.
Our common stock is traded
on The Nasdaq Capital Market under the symbol “ADTX.” On March 27, 2026, the last reported sale price of our common stock
as reported on the Nasdaq Capital Market was $0.81 per share.
Neither the Securities and Exchange Commission
nor any state securities commission has approved or disapproved of these securities or determined if this prospectus supplement or the
accompanying prospectus is truthful or complete. Any representation to the contrary is a criminal offense.
H.C. Wainwright & Co.
The date of this prospectus supplement is March
27, 2026.