No. Way.
I can only repeat what has already been said here. I fly IB MAD-JFK 5-6 times a year. I have GE. I have only carry-on luggage. I’m a pretty fast walker. I also have seen the mess at LGA a few times in the past year. There is no way I would attempt this. None. Zero. Isn’t that the saying? Something like “Friends don’t let friends attempt impossible connections?”