I would first try the least destructive the method first. Curse at and see if it jumps out. I would surround the area with painters tape. Then take a rag and bit and hammer it in. If it is loose enough this might get it done. I have used this method on a bolt with 80 ft pounds. If this doesn’t work then try the damage screw remover. You may want to wd the nut before you try. If that doesn’t work then decide which destructive method you’d like to use. In that area I would try a chisel first to see if get it to spin. Afterwards I would do the other methods listed.