With regard to your residency for tax purposes, the issue is one of domicile. In tax terminology, your domicile is your primary, main home. It's the place you intend to return to after an absence.
If in 2023 you left your domicile in NY and began living in CT with the intent of CT being your new domicile, then for 2023 you are a part-year resident of each of the two states. If that's the case you became a resident of CT on the day you began living there with the intent of making it your new domicile.
But if you went to CT temporarily, while keeping and intending to return to your main home in NY, then for 2023 tax purposes you are a non-resident of CT and a resident of NY.
If you can clarify the above, we can tell you how to file your 2023 taxes.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
