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It depends on the school.
Any federal/state entailment need based grants that you are eligible for you will get. Need based aid first and foremost go to continuing students. So me schools have limited aid while others may have no aid for transfer students. Check the policies.
Op the will not get in-state residency by moving to NY. Her mom also has to move to NY, live in NY her for at least a year and file NYS taxes. If mom does not have a physical presence in NYS and is a NYS resident, Op's daughter will never be eligible for NYS aid or the excelsior scholarship. Should mom come for a year and then leave NYS, OP would lose her residency.
It is not unusual for us to get kids from outside NYC to enroll in NYC high schools. While they may be here 3 years and graduate making them eligible for in-state tuition, many of them are not eligible for NYS aid because their parents are not physically present in NYS.
Even if OP came to a NYC public high school senior year, she would still be flagged, because her NYC DOE transcript would only have senior year grades all other grades would simply have CR/NC as grades and transfer codes for courses causing a flag for the previous school transcripts.
She cannot get emancipation through the NYS courts. If she gets emancipated, it will have to be before she comes to NY.
OP's daughter did not graduate from a NYS high school.
She will not be an in-state resident as a dependent student unless her parents have a physical presence in NYS and file NYS taxes. As a dependent student, she will not be independent for NYS aid (TAp and Excelsior scholarships, without a dependency override) until she is 35