My Parents State refund was processed today 2/12, my bank said up to three days to be in my acct, How long once it's been processed?

You should follow exactly as your bank states, as each bank is different so therefore they each have different processing times.

The state asks for additional time since each bank has different processing times.

Just a note, It's unclear who's bank account the refund was intended to go to, but if the name on the bank account don't match the names on the tax return, the bank will reject the funds.  So if it is your parent's tax return but your bank account, you may have an issue.

I misspelled Pa, auto type, didn't realize, I meant my Pa State Refund, any advice?

Patience, see TurboTaxCarissa answer. Nothing you can do about when any refund gets to your account or the amount until it happens.