No, as you are in school there, the FL law says that you can obtain a license and must have a FL license if you are living in FL 30 days or more. There is no issue with you spending the majority of your time in FL (which you would be for the 7 months) and visiting NY on your breaks. You saying "I would still be spending most of the time I am not in school in NY" is sort of a misstatement on your part, since the breaks in this school are not very long compared to the time you will be actually in FL and in school. Thus, you can get a FL drivers license without a problem.
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