I did a lot of digging to try to figure out what kind it is, but have run into a bunch of dead ends on that front. Let's look at the data we have on the three pure species that exist, and how my plant relates to them:
So, what do we have here -- three nods to spectablis, with one each to peruviana and glabra. This would normally tip me to the leading species, except spectablis "is noted for its hairy leaves and stems" which my plant clearly does not have. As such, it is likely some sort of hybrid of these. Now there are 300 hybrids of this showy flowering plant, so my technical term for it is a big pink bougainvillea bush. How's that for fancy? Regardless, it's pretty hardy and just blooms whenever I water it as much as I can manage. Conveniently it's in an unshaded south-facing spot, which is good, since as a tropical plant, it prefers tons of sun, too. I like it when I find another plant I probably can't kill, but with a bit of care will bloom like it's 1999.