yes, you must change the school so that the money can be disbursed to the correct school in a timely manner.
In addition, if your son is attending a SUNY of CUNY school and your combination of TAP & PELL (If eligible) does not cover your full CUNY/SUNY tuition, don’t forget to apply for an excelsior scholarship. Remember, Excelsior is a last payer Scholarship.
https://www.hesc.ny.gov/pay-for-college/financial-aid/types-of-financial-aid/nys-grants-scholarships-awards/the-excelsior-scholarship.html