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cater is the caterpillar
that's definetely one possibility!!
I personally see him more as the White Rabbit, even tho I can see him as the Caterpillar with the whole "representing changes" stuff and the "Cater(pillar)". I thiiink I might have seen somewhere Cater was supposed to be a rabbit beastman in one of his earlier designs but I can't find anything about it so maybe I hallucinated it lmao