You can e-file federal and state at the same time; it just takes longer to get the acceptance for the state e-file. First the IRS has to accept the federal and then the state can accept your NY return. You do not have to file federal and wait to file the state.
When you e-file your federal return you will receive two emails from TurboTax. The first one will say that your return was submitted. The second email will tell you if your federal return was accepted or rejected. If you e-filed a state return, there will be a third email to tell you if the state accepted or rejected your state return.
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