Thank you very much for your detailed reply!
But I have one last thing to check: since I am an international master's student and hold a nonimmigrant visa, I just arrived in NY in Aug 2019. I previously thought my domicile is still my foreign country since that is my permanent home. I didn't find more detailed instructions by NY, but I find a similar definition given by CT, Nonresident Alien (ct.gov). In example 2 of this website, it seems that the domicile of an international student is still his home country. That's why I didn't consider filing myself as a NY resident before. Could you help me with this? Thanks!
