In both NY & NJ no one can impose a local property/school tax increase without the voters approving it in a referendum. That’s the law in both States.
In NY they can definatly impose an icrease, althought it not so simple, Its really only for an emergency.
Basically we are at a stalement, I really dont think the state is going to give the money and a tax increase is also unlikely. There will have to be a deal at some point