No, because that question is to see if you were underpaid for your advance payment Star Credit, and give you a chance to file Form IT-119 and get the underpayment now, or have your next advance payment adjusted to reconcile any underpayment amount. It doesn't affect your NY State Income taxes.
Reducing your Property Tax Deduction on the federal side by the amount of your Star Credit is making sure that you are only claiming the net amount of Property Tax actually paid.
They are two separate issues.
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