Married Filing Joint but. I live in Ny my spouse lives in AZ

Hello, I'm a New York Resident and own a house in NY. Last Year I worked a temporary job assignment in Arizona. While in Arizona I had to file part Year resident and pay Arizona and NY taxes. Also while in Arizona my spouse found a full time permanent position in Arizona and works strictly in Arizona. I purchased a house in Arizona where my spouse stays full time while I returned and work and maintain a primary resident in NY. Can my spouse claim homestead in Arizona and I claim Homestead in NY? Can we still file joint return in Arizona and NY?

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