Thank you for your informative response!
I am confused as well as to why my refund increases when I switch to part-year resident from non-resident. There's this one tax software that immediately shows you the forms as you fill out the fields. I matched it up with what I have on TurboTax/H&RBlock and I found out that by selecting part-year resident, the resident tax fields related to form IT-360.1 are left empty.
Looks like I'll have to fill out IT-360.1 as a part-year resident, but I can't find the option to do so on any tax software. I only get asked when I moved into NYC and how many days I've lived in the city.
