Tax Year Prior to 2020: Adding forgotten 8889 form

So, I plan on filing an amended tax return to account for the 8889 (HSA form).
I see now according to TurboTax Twitter the form won’t be available until February 22 through TurboTax software.

I plan on waiting to file it through TT so it can walk me through it. How does my state tax return fit into this? Does TT also help with that as well? Or what needs to be done there to account for the 8889 form?

I know states have their own amendment form (I live in OH btw), but is there any guidance on that front so I know what to fill out?