Irrelevant note: Boogie's 85%+ accuracy from my own tries of it.
Gate passes: Fogel + two healers + Eileen. Arguably only Fogel or only Eileen is enough to clear house, but hey, both for twice the fun.
Random: First fight Saner goes up, no one's likely frogged due to accuracy issues by the initial salvo (they'd want to aim at Shiho/Ayla), and Celes tosses out status. Goes from there, Ayla medics up anyone who needs frog off with Kiss.
Second fight, MT sleep goes out, the counters kill Alys, Ayla revives, Shiho heals up, Lucian does something (preferably nothing but) and Celes statuses.
Third fight, kinda same song and dance as the second.
Fourth fight, uhhh depends on SO3 speed respect but the way I view it they need to block both ID and sleep or have someone/the entire team be dropped/disabled to Alys. If they block both she just Saners and suddenly the accuracy takes a hit. This being said, presuming perfect "disable for next fight" AI, they then focus on MP busting the group. Celes/Ayla are the main targets there. However... not sure how much will get through as damage due to Saner... I'd be willing to see a full offense disabling Ayla's MP, though, since her MP pool is kinda unimpressive.
Final fight, Alys Saners, Ayla bites and gets killed by counter, Lucian carves in, gets killed, Shiho revives, let's say Genevieve kills Shiho at this point, Celes revives Shiho, and I'm not sure what Genevieve can do in theory to put a halt to the res cycle.
Random passes.
ahahaha wait what I'm a dork Celes doesn't have revival yet. So Celes instead drops a healbomb (Genevieve is vulnerable to undead-damaging stuff, FF6 healing damages undead. Heal's a different category) and gets herself nuked, Alys tosses out damage and gets nuked, Lucian tosses out his damage chain again, gets nuked.
Still, that's... Celes+Lucian x2+Alys+Ayla. The latter two aren't so relevant but it's good enough.
Random passes.
Monkey falls. Good run, but... that floor's ugly.
Djinn, I need to look at more closely. Will deal with later.