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Thanks for the detailed answer! 

 > Your description of your W-2s is a little confusing, but if I understand correctly, in effect the employer reported the entire bonus as New York income (but not NYC).

Yes, that is correct. I moved at the end of Jan 2021. So I have one month of NYC tax, and [one month + bonus] of NYs tax in my W2.

I received an audit from NY so that's why I posted this but I will consult with a tax professional for responding.