Will *ANY* version of TurboTax Deluxe CD do 2020 New York State tax return free or do I need the "with state" version?

For Windows CD...

 

Will TurboTax Deluxe CD without state version for 2020 do New York State income tax returns free or does it HAVE to be the version of Deluxe that comes with state to do that?

 

Thank you.