Heating a field point & dunking the shaft in water when you get the insert out works really well, but you have to go slow. Apply to much heat too quickly and you wreck the shaft.
It took me a couple tries/arrows wrecked before I got the hang of it.
Apply a couple seconds of heat with a propane torch to the tip of the point, then try it with a pliers. Don't let the tip cool off, just gradually heat & repeat this until you can pull the insert out. Probably will come out on the 4th-5th try.
I use the wide, flat bottomed camp lantern propane bottles rather than the skinny type so the torch has a safe, stable base. I just set it on the bench which allows me to hold the arrow shaft & precisely position the field point tip in the flame.
BTW, this is why I use Hot Melt to put inserts in carbons, not glue or epoxy. MUCH easier to work with and less chance of damaging the shaft when, not if, I have to pull it out after hitting a fence post or tree.
I use an insert tool to hold the insert in the flame, getting it just warm enough to melt the hot melt onto it. Insert into the shaft, quickly dunk in water, then peel the excess from around the mouth of the insert...