amending a 2022 state return

It is not likely anything entered on your 2022 tax return would affect your 2024 return, so you don't need to file the amended return for 2022 before you file your 2024 return.

Generally the processing of current year returns is independent of amending returns. So unless you need some number from your 2022 return for 2024, you can go ahead and file 2024 before doing the 2022 amendment.