IRA conversion vs recharacterization mistake

In March of 2023 I had intended to recharacterize a $2000 IRA contribution to a ROTH IRA for the 2022 tax year. I thought that's what I did and reported it that way on my 2022 taxes. In 2023 I received a 1099-R for the IRA distribution made in March of 2023. As it turned out, I did not "recharacterize" my $2000 IRA contribution I "converted" it to ROTH. I can't undo the conversion and need to pay taxes on the $2000 conversion in 2023. I already paid tax in 2022 thinking I had recharacterized. What the best way to fix this? Amend my 2022 taxes or something different?