From Guns.com:

School districts in the Empire State are now forbidden under a new law from authorizing teachers or other staff to carry firearms on campus.
The move came with New York Gov. Andrew Cuomo’s signature on legislation this week forwarded to his desk by the state’s Democrat-controlled legislature. The bill, S.101A, stipulates that schools can’t issue an authorization to carry a gun to any teacher, administrator or other people not primarily employed as a school resource officer, law enforcement officer or security guard.