If itemizing, do I account for property tax relief/STAR credit under the Federal return *and* enter the details in the New York State return?

Under the NY return section, Turbo Tax has a section to enter the Property Tax Relief and STAR credit received. TT instructions state: "If you are claiming itemized deductions you must reduce your federal property tax deduction by the amount of New York property tax refunds or savings received in 2018." 

If I am itemizing my federal taxes, do I still have to enter the details for the Property Tax Relief and STAR credit for my NY return? (Basically, this means I'm accounting for it in two places, so I'm a little confused.)