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> I also have three stuck lug nuts on the wheel studs
Get a dremel and with the diamond discs cut the head off the lug nut right before the stud, so you can see the stud, then cut parallel with the lug into the lug nut until you almost reach the threads, in 4-5 places. Once enough tension has been removed from the lug nut, you will see it loosen on the threads. Then you can spin it off with an air hammer.