Yes, it could be beneficial to file a New York State return to report your loss on Rental Property you own there.
In a future year, you may have taxable income on your rental, and you can carryover your losses from year to year.
Also, you can report the loss against any Capital Gains when you sell the property.
You will still need to include your rental activities (income or loss) on your federal and resident state tax returns.
Here's more info on How to File a Non-Resident State Return, although you could just mail in a paper return from forms off the NY website.
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