no. You can't use the tax recalculation method if repayment is in the same year as it was received. The IRS says first contact your employer and then if it won't issue a corrected w-2 contact them so they can contact the employer about the incorrect w-2. If the correct w-2 is not furnished by filing time you can then use form 4852 to report the correct amounts.
see this link
https://www.irs.gov/faqs/irs-procedures/w-2-additional-incorrect-lost-non-receipt-omitted/w-2-additi...
note it's premature for the employer to issue a w-2 for 2023 so you need to wait until you get it or the end of February 2024 before you do anything. paystubs don't really matter. The actual w-2 does.
