Filed Pursuant to Rule 424(b)(5)
Registration File No. 333-257990
PROSPECTUS SUPPLEMENT NO. 2
(to Prospectus dated
July 23, 2021)
Up to $205,000,000
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 $205,000,000 from time to
time through Jefferies, acting as our sales agent, or the ATM offering. As of immediately prior to the filing date of this prospectus supplement, shares of our common stock having an aggregate offering price of up to $57,328,678 remained unsold
under the prior Open Market Sale AgreementSM, dated July 23, 2021, or the prior sales agreement, that we entered into with Jefferies, and the prior sales agreement prospectus supplement,
dated July 23, 2021, as amended, or the prior prospectus supplement. As of the date of this prospectus supplement, the offering pursuant to the prior prospectus supplement has been terminated and we will not make any offers or sales of shares
of our common stock pursuant to the prior prospectus supplement. Accordingly, this prospectus supplement covers the offer and sale of our common stock having an aggregate offering price of up to $205,000,000 to be sold under the sales agreement, as
of the date of this prospectus supplement.
Our common stock is listed on the Nasdaq Capital Market under the symbol TPST. On June 17,
2024, the last reported sale price of our common stock on the Nasdaq Capital Market was $2.91 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-11 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.
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-9 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.
Jefferies
The date of this prospectus supplement is June 20, 2024