Agree with the Plus-Gas, better releaser than WD 40.
I couldn’t see mention of the material of the nut? If it’s bronze, probably going to be OK. But if it’s a soft material, and aluminium / mazak based material there is a risk that a piece on ingested swarf has caused a ‘pick up’, basically raised a ball of the softer material and jammed it up solid. Turning it further just increases the grab and it’s a bad doo.
If it’s bronze based. Heat is the answer. Lots of it and FAST. I.e. heat the nut fast so that the lead screw stays as cold as possible ( even pre cool the lead screw with cold water / ice ), this gives the greatest degree of differential expansion and has the best loosening effect. Then gip the nut with a Stilson or mole and twist… Do the whole job as fast as possible to minimise heat transfer to the lead screw. You can also put tube over the exposed parts of the led screw to act as a heat shield. Basically you want the nut as hot as possible and the screw as cold as possible….
Also when holding the leadscrew in the vice and grabbing the nut with aggressive jawed wrenches, protect the parts with some thinner brass sheet bent over the part so that it eliminates damage an you don’t have to faff manually holding the protectors in place whilst it’s scalding hot. Make a thin brass ‘U’ shape, cook the nut, drop the protector on to it, then grab and twist…..
If it’s alloy based. I would try to find a spare / replacement nut. Then try the heat, and if not, cut the nut off, dress the leadscrew if there is any damage and fit the new nut.
A badly picked up nut on a thread can be terminal….. But anything can be fixed, just a bit more work required….
All the best and hopefully the Plus-Gas and Heat will do the trick.