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"checking the Burning Man site, I'd have to call "attended Burning Man" a big red flag. From the site:...." Look, just ignore the pompous windbaggery on the BM site.
Burning Man is a huge art party in the desert. If you're a nitwit when you go, you'll still be a nitwit afterwards. If you meet and talk to enough interesting people, you might learn something. Remember: Big Party. Fun to be had, people to meet, stuff to see. Long grueling drive, potentially difficult camping experience. Dust.
BTW, no one under 28 or so should bother going to grad school.
Also - LW, all 3 of you will be better off without each other. Find some humility-inducing work and get over yourselves.