Amended returns: NY has no mailing instructions, unlike federal and NJ

Amended a tax return as forgot to include interest from a CD account. By the time of the amendment, federal return had already been accepted whereas the NJ and NY returns hadn't. In the amended return, the federal and NJ state TurboTax printouts have instructions for filing by mail (can't e-file amended returns). However, the NY state return printout still says I've elected to pay by direct debit, with no instructions for mailing despite a change in the balance due amount. Does this mean I only need to mail the federal and NJ amended returns? Or do I still need to do something with the NY one?