Do you have a warlock? Banishing one of the adds is money, can't break the banish, then you could probably just tank the other 2 and the tank on Lei Shei can cooldown through the splashes while you kill the first add perhaps?
I haven't actually done the fight outside of LFR, but that seems like a good strat to me. But if someone else has a better strat probably take their suggestion, heh.
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