Yes, I finally found that TurboTax's calculation was right, and I was wrong.
I missed the following on the NYS document:
"If your New York AGI amount on Form IT-201, line 33, is more than $107,650, see
pages 58, 59, and 60 to compute your New York State tax."
My mistake was that I just used the Taxable amount to figure out the tax. But the rule ask to consider the NYS AGI also, and that would add the $202 to the tax amount I have to pay.
