Most of the nuts came out with minimal force, but the last one just spins in place. I tried rubber gloves, painter's tape, and duct tape to get a better grip. I'd rather not cut a slot in the domed nut if there's another good strategy.
The rest of the restoration underway:
Hold the tip as well as the grip, and take your time. Brace it against a flat piece like you're planing it and use that as a guide.
Stick to Western saws. Got it.