Looked it up. Seems if you can flick the knife open, it is a “gravity knife” and illegal. Cops have been allowed to make multiple attempts at flicking the knife open, and one success can result in an arrest.
My Cold Steel Recon 1 doesn’t flick open, but I suspect NY would find a different reason to ban it.
You can usually “gravity proof” a knife by tightening the screw that secures the blade. It’s a ridiculous law in any case. It doesn’t allow a knife that flicks open with one hand, but does allow a knife with a thumb stud that opens with one hand. Or one that flips with the finger of one hand.