Retirement tax questions

I contributed $6,000 to my traditional IRA in March 2021 then mistakenly told Fidelity to re-characterize the full contribution to my Roth IRA. Which they did including ~$200 of gains. I exceed the income limit to contribute to a Roth though. I spoke to Fidelity who said I would have to recharacterize it back to a traditional IRA. I would prefer to just report the $6,200 on my taxes as a conversion and pay the applicable taxes.