You can't "claim" a home as your primary home. What qualifies as your primary home is determined by the facts and circumstance. It's only your primary home if you actually live there as your primary home. But you live in New Jersey, not New York, so your home in New Jersey is your primary home. And you can have only one primary home. If the home in New York is no longer a rental, it's a second home, not your primary home. To make it your primary home now, or in 2025, you would have to move back to the New York home.
