Where does “collie” come from?

I need to note that the etymology chain provided is for "coal," not "collie" (which is a dog breed). Additionally, the chain shows "gel-" repeated three times, which appears to be an error in the source data. However, I cannot write an accurate etymology for "collie" using this chain, as it doesn't match. I also cannot write a sentence stating the coal etymology for the headword "collie" as that would be inaccurate. Could you clarify: Should I write the etymology for **coal** using this chain, or do you have the correct chain for **collie**?

collie (English): Any of various breeds of dog originating in...

Definitions

  1. Any of various breeds of dog originating in...

Ancestry of “collie”, step by step

StepLanguageWordMeaning
1EnglishcoalA black rock formed from prehistoric plant...
2Middle Englishcolcole; coal
3Old Englishcōlcool, cold, tranquil, calm
4Proto-West Germanickōl(ī)cool
5Proto-Germanickōluzcool
6Proto-Germanickalanąto be cold, to freeze
7Proto-Indo-Europeanǵel-to swallow; swallow

Words derived from “collie

Every word from Proto-Indo-European ǵel-
collie — Etymology, Origin & Word History | Etymology Explorer