I want to choose itemized deduction for my New York State return, I already did for Federal

The standard deduction for New York is higher than the federal standard deduction, and your New York itemized deductions are probably less than your federal itemized deductions because some things that are deductible on the federal return are not deductible on the New York return, most notably state income tax. So it's quite possible that your federal itemized deductions are higher than the federal standard deduction, but your New York itemized deductions are lower than the New York standard deduction. In that case, TurboTax will use the standard deduction on your New York return because you pay less tax that way.