Deductions & credits

The New York program might not have been fully updated when you originally posted.  I've just gone through the state interview section again and was able to proceed as follows.

When selecting update to the right of Long Term Care Insurance Premiums Paid in 2024, you will get to a screen titled Long-Term Care Insurance Credit. 

Assuming you are not a member of an S-corporation, partner of a partnership, or a trust beneficiary, you will be able to select no on this screen.  This will generate the credit and allow you to proceed with your state return.