I've lived with one for decades, and it is a pain when it starts to threaten other trees, and rodents make nests in it. I would coppice it to death. Just have a really cathartic afternoon with a chainsaw and get yourself a bunch of firewood and leaves to compost. And if it comes back, stay on it, and you will have great leaf mulch and quick new growth. If you really want to get rid of it, don't let it form any green leaves so the roots can't be fed. Cover it with a double black garbage bag tied at the base between sawing the new shoots off. But if it's already there, using growth that gets up to person height and cutting it back is a nice renewable source of compost
"Life flows on within you and without you"...George Harrison
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Coastal California, USA, Mediterranean climate - no summer rain, a little frost mid-winter