Filed Pursuant to Rule 424(b)(5)
Registration File No. 333-280918
PROSPECTUS SUPPLEMENT
(to Prospectus dated
January 27, 2025)
Up to $14,500,000
Common Stock
We have entered into an Open
Market Sale AgreementSM, dated June 20, 2024, or the sales agreement, with Jefferies LLC, or Jefferies, relating to the offer and sale of shares of our common stock, par value $0.001 per
share, from time to time through Jefferies acting as our sales agent. In accordance with the terms of the sales agreement, we may offer and sell shares of our common stock having a maximum aggregate offering price of up to $14,500,000 from time to
time through Jefferies, acting as our sales agent.
Our common stock is listed on the Nasdaq Capital Market under the symbol TPST. On
February 5, 2025 the last reported sale price of our common stock on the Nasdaq Capital Market was $0.9355 per share.
Sales of shares of our common
stock, if any, under this prospectus supplement and the accompanying prospectus will be made in sales deemed to be at the market offerings as defined in Rule 415(a)(4) promulgated under the Securities Act of 1933, as amended, or the
Securities Act. Jefferies is not required to sell any specific amount of shares of common stock, but will act as our sales agent using commercially reasonable efforts consistent with its normal trading and sales practices, on mutually agreed terms
between Jefferies and us. There is no arrangement for funds to be received in any escrow, trust or similar arrangement.
The compensation to Jefferies for
sales of common stock sold pursuant to the sales agreement will be an amount equal to 3.0% of the gross proceeds of any shares of common stock sold under the sales agreement. See Plan of Distribution beginning on page S-13 for additional information regarding the compensation to be paid to Jefferies. In connection with the sale of the common stock on our behalf, Jefferies will be deemed to be an underwriter within the
meaning of the Securities Act of 1933, as amended, or the Securities Act, and the compensation of Jefferies will be deemed to be underwriting commissions or discounts. We have also agreed to provide indemnification and contribution to Jefferies with
respect to certain liabilities, including liabilities under the Securities Act.
The aggregate market value of our common stock held by non-affiliates as of February 6, 2025, pursuant to General Instruction I.B.6 of Form S-3 is $43,530,483, which was calculated based on 44,148,563 shares of our common
stock outstanding held by non-affiliates as of January 30, 2025, and at a price of $0.986 per share, the closing price of our common stock on January 8, 2025. As of the date hereof, we have not
offered or sold any securities pursuant to General Instruction I.B.6 of Form S-3 during the prior 12 calendar month period that ends on and includes the date hereof. As a result of the
limitations of General Instruction I.B.6 of Form S-3, and in accordance with the terms of the sales agreement, we are registering the offer and sale of shares of our common stock having an aggregate offering
price of up to $14,500,000 from time to time through or to the Sales Agent.
We are a smaller reporting company under federal securities laws
and as such, have elected to comply with reduced public company reporting requirements for this prospectus supplement, the accompanying prospectus, and the documents incorporated by reference herein and may elect to comply with reduced public
company reporting requirements in future filings. See Prospectus SummaryImplications of Being a Smaller Reporting Company.
Investing in our common stock
involves a high degree of risk. You should read this prospectus supplement, the accompanying prospectus and the documents incorporated by reference herein and therein before you make your investment decision. See Risk Factors beginning on page S-6 of this prospectus supplement, and under similar headings in the other documents incorporated by reference herein, to read about risks that you should consider before making a
decision to purchase shares of our common stock.
NEITHER THE SECURITIES AND
EXCHANGE COMMISSION NOR ANY STATE SECURITIES COMMISSION HAS APPROVED OR DISAPPROVED OF THESE SECURITIES OR DETERMINED IF THIS PROSPECTUS SUPPLEMENT IS TRUTHFUL OR COMPLETE. ANY REPRESENTATION TO THE CONTRARY IS A CRIMINAL OFFENSE.
The date of this prospectus supplement is February 6, 2025