A Lamiaceae. But I don't know which one. There is a lot of aromatic herb in this family, yet don't try to eat it if you are not 200% sure what it is.
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Spurflower. I think it's a type of lavender. Grows like a weed in Southern California, like Borage in Northern California.
That's definitely a Plectranthus, specifically looks like Plectranthus scutellarioides (formerly called Coleus) - they're super resilent and can be cut back hard each year, which is why your mom's plant thrives with that treatment.
Looks like a kind of friendship sage, but the flowers are wrong. Some type of sage for sure.


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