The question will be if you abandoned your New York state domicile when you moved from NYC to England in 2022. If you did, you will have a stronger case for being a nonresident when you returned in 2024. If the issue is brought up by the state, thy will look at things like your driver's license, voter registration, bank etc. so if you did keep those current to New York you would have to be very careful claiming nonresident.
It seems that on your return you did not establish enough ties to e a New York resident. You are correct that most of your tax would be New York City tax.
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