The state probably has a similar rule but you don’t say which state it is. Your state taxes are likely less than federal so any penalty would be proportionately less. I would not include a penalty payment even if TurboTax suggests it. Wait and see if the state mails an assessment, and then you can check to see if your state has an appeal process or a first time waiver. You can plead special circumstances or ignorance. You would reduce any potential penalty by paying your taxes as earlier as you can.
