Different ways, I usually say boo-jwah, bur-jwah is also one I've heard though.
I and anyone I've heard say the word says it the same as the English pronunciation in this random video I found searching for how to pronounce it. For whatever that small sample size is worth.
https://m.youtube.com/watch?v=3pMOHP3Uu54
I've heard it with varying degrees of the R sound. There's a common shorthand "bougie" (BOO-zhee) that people often hear before learning the original term, so they'll maintain the pronunciation into BOO-zhwa.
Sometimes the R is slightly swallowed so it sounds more like BOH-zhwa, maybe very light throat vocalization. Or people skip over it and it's buh-ZHWA. Some commit fully for BOR-zhwa.
Universally seems to maintain (my non-native understanding of) the French "oi" and silent S.
I have yet to hear anyone pronounce it correctly: bor-gee-oice.
*removed externally hosted image*
https://www.theragblog.com/lamar-w-hankins-slipping-creationism-into-texas-textbooks/
Reminds me of this scene in the big short:
