Where does “chiller” come from?

I need to work through this etymology chain carefully, but I notice there's a significant problem: the chain provided doesn't coherently connect to "chiller" in English. The chain shows: English chill | English will | English ich | Latin -are | Latin -are | Latin -arius | Proto-Indo-European h₂wĺ̥h₁neh₂ | Proto-Indo-European éǵh₂ This appears to be a chain for a word related to "will" or possibly "ich" (I), not for "chiller." The suffix "-arius" typically forms agent nouns (like "librarius" from "libra"), but the PIE roots given (h₂wĺ̥h₁neh₂ and éǵh₂) don't clearly support a semantic path to "chiller" (something that chills/makes cold

chiller (English): Something that chills; A frightening dramatic...