Eh, this is not gonna happen because it's basically asking to remove all useful pets. They've already made it difficult-to-impossible for low RRs to get barguests with the last charm changes. I couldn't even get them to make demons in DF uncharmable like on Live, and that's far more broken since they have an unlimited supply of unCCable, high HP mobs there (e.g., "Killed my shredd since you can't CC it? That's okay, we're standing right next to 10 more shredders."
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It's probably more useful to talk about how to counter Ellylls instead. On that note, if you're a hunter or any class that has a pet, put the pet on the sage and it becomes pretty useless immediately. If you have insta DDs, time them to interrup the pet's heal and hope that you can get the kill on the minst before the pet manages to get a cast off. If you have no class interrupts and are melee, use an insta DD charge and
really hope you have enough damage to kill the minst before the pet tries to heal a second time. If all else fails, hope you have a lot of damage to quickly kill the pet with before turning to the minst. In every case, it's a very hard fight that requires the minst to overcommit if you're gonna win at all (i.e., they have to forget that they can reset practically any fight at any time).