Filed Pursuant to Rule 424(b)(5)
Registration No. 333-266748
AMENDMENT NO. 2 DATED JULY 1, 2025
To Prospectus Supplement dated March 14, 2025
(to Prospectus dated August 18, 2022)

Up to $7,117,720
Ordinary Shares
This Amendment No. 2, or the
Amendment, amends and supplements the information in the prospectus, dated August 18, 2022, filed with the Securities and Exchange Commission
as a part of our registration statement on Form F-3 (File No. 333-266748), as previously supplemented by our prospectus supplement dated
March 14, 2025 and our prospectus supplement dated April 10, 2025, or, collectively, the Prior Prospectus, relating to the offer and sale
of up to $1,917,052 of our ordinary shares, no par value, or Ordinary Shares, pursuant to
the sales agreement, or the Sales Agreement, with A.G.P./Alliance Global Partners, or A.G.P., dated March 14, 2025. This Amendment should
be read in conjunction with the Prior Prospectus, and is qualified by reference thereto,
except to the extent that the information herein amends or supersedes the information contained in the Prior
Prospectus. This Amendment is not complete without, and may only be delivered or utilized in connection with, the Prior Prospectus
and any future amendments or supplements thereto.
We are filing this Amendment
to supplement and amend, as of July 1, 2025, the Prior Prospectus to increase the maximum aggregate offering price of our Ordinary Shares
that may be offered, issued and sold under the Sales Agreement from $1,917,052 to $7,117,720. Accordingly, we may offer and sell Ordinary
Shares having a maximum aggregate offering price of up to $7,117,720.
Sales of our Ordinary Shares,
if any, under the Prior Prospectus and this Amendment, may be made in sales deemed to be “at the market offerings” as defined
in Rule 415 promulgated under the Securities Act of 1933, as amended, or the Securities Act. A.G.P. is not required to sell any specific
number or dollar amount of securities but will act as a sales agent on a best efforts basis and will use commercially reasonable efforts
consistent with its normal trading and sales practices, on mutually agreed terms between A.G.P. and us. There is no arrangement for funds
to be received in any escrow, trust or similar arrangement.
A.G.P. will be entitled to
compensation at a commission rate of 3.0% of the gross sales price per share sold pursuant to the terms of the Sales Agreement. See “Plan
of Distribution” beginning on page S-12 of the Prior Prospectus for additional information regarding the compensation to be paid
to A.G.P. In connection with the sale of our Ordinary Shares on our behalf, A.G.P. will be deemed to be an “underwriter” within
the meaning of the Securities Act, and the compensation of the A.G.P. will be deemed to be underwriting commissions or discounts. We also
have agreed to provide indemnification and contribution to A.G.P. with respect to certain liabilities, including liabilities under the
Securities Act and the Securities Exchange Act of 1934, as amended.
Our Ordinary Shares are listed
on The Nasdaq Capital Market, or Nasdaq, under the symbol “IINN”. On June 30, 2025, the last reported sale price of our Ordinary
Shares on Nasdaq was $0.85 per Ordinary Share.
The aggregate market value
of our Ordinary Shares held by non-affiliates as of July 1, 2025, pursuant to General Instruction I.B.5 of Form F-3 is $21,353,160 which
was calculated based on 24,264,955 Ordinary Shares outstanding held by non-affiliates and at a price of $0.88 per Ordinary Share, the
closing price of our Ordinary Shares on June 24, 2025. We have sold an aggregate of approximately
$1,621,892 of securities pursuant to General Instruction I.B.5. of Form F-3 during the 12-calendar
month calendar period that ends on, and includes, the date of this Amendment and, as a result,
the capacity to sell securities under our Form F-3 Registration Statement pursuant to General Instruction I.B.5. is currently $5,495,828.
Investing in our Ordinary
Shares involves risk. See “Risk Factors” beginning on page S-4 of the Prior Prospectus and in the documents incorporated by
reference into the Prior Prospectus for a discussion of information that should be considered in connection with an investment in our
Ordinary Shares.
Neither the Securities
and Exchange Commission nor any state securities commission has approved or disapproved of these securities or passed upon the adequacy
or accuracy of the Prior Prospectus, this Amendment or the accompanying prospectus. Any representation to the contrary is a criminal
offense.
A.G.P.
The date of this prospectus supplement is July
1, 2025.