Yes. The rules that govern whether you are a New York City resident are the same as the rules for New York State residency. Below is information from NY Department of Taxation and Finance relating to New York City residency/domicile.
The rules regarding New York City domicile are also the same as for New York State domicile. If your permanent and primary residence that you intend to return to and/or remain in after being away is located in one of the five boroughs of New York City, it is considered a New York City domicile.
New York Department of Taxation and Finance
In your case, it appears that you always intended to return to your residence on Long Island. In other words, you never intended to abandon your Long Island residence even though you rented an apartment in NYC for a limited period of time.
@sowsun
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