Do I need to amend state tax 2023 if my taxable income doesn't change?

Here's my problems:

I need to file 1040x 2023, because I need to update capital loss carryover from 2022,

but it won't change me taxable income numbers,

and no more refund and payments to both federal and state.

 

I know I need to file 1040x to federal to change the number, do I still need to amend to state tax?