i am a auto body tech.
those special wrenches only work sometimes. a lot of the times the part of the wrench that matches the antenna won't work because the wrench hits the fender. they also make special sockets that work just like the wrenches.
the antenna and nut are probably both seized to the antenna mast threads, bi metallic corrosion. the antenna stud is steel and the antenna and the nut are usually alloy.

i usually heat up the parts with a induction heater and everything works fine.
my suggestion is stop by a dealer body shop and bribe a tech to remove the antenna.

chances are if you live in the rust belt you will need a new antenna because you try to remove it snaps the stud off in the antenna mast.


good luck

perception is 90% of reality