Yes. TurboTax is doing your taxes correctly. All federal itemized deductions are included on your New York return (that's how NY calculates taxes).
You don’t say whether you are filing a resident, part-year, or non-resident NY return.
If you are a resident, NY taxes all your income, so you can claim all your federal deductions.
If you are a part-year or non-resident, NY will prorate your itemized deductions according to the NY percentage of income versus total income. So if you earned 50% of your income in NY, you’ll get 50% of your itemized deductions.
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