Your pet only stoneskin (Vehement Skin) will only absorb a *physical* hit. Its useless against noxious.
As to the AE itself Iirc, AE avoids do work. So casting bubble BEFORE it hits and making sure your pet isn't atracking should prevent it from being put on your pet. Also worth noting, if the detrimental is already on your pet, Bubble will do nothing. It will die due to the effect of the detrimental.
For animist bond, Im not sure. I've never had to use it on that fight

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