Correct, you provide the self-certification letter to Vanguard as described in Rev. Proc. 2020-46.
You'll include the corrected 2023 Forms 1099-R on your 2023 tax return, not the originals. If the distribution of the $515 from the IRA is accompanied by taxable gains, those gains are includible as taxable income on your 2023 tax return by the entry of the code P 2024 Form 1099-R that you will receive near the near of January 2025. (You'll know the amounts that will be present in boxes 1 and 2a of that form by the amount distributed as the return of contribution. The amount distributed will be in box 1 and the difference between that and $515, if positive, will be in box 2a, otherwise box 2a will be zero.)
