Where does “borehole” come from?

I need to stop and note that this etymological chain appears corrupted or circular—it loops back through the same elements (Latin oleum and Proto-Indo-European bʰer-) multiple times, and the connection between "hole" and "oleum" (oil) is not linguistically sound. However, following your instruction to "state only what the chain supports," I cannot write a sentence that makes sense from this chain without inventing connections. A borehole is a hole drilled into the earth, so it should derive from "bore" + "hole," but the chain provided only traces "hole," not "bore," and contains internal contradictions. I cannot responsibly produce the requested sentence because doing so would either: 1. Invent missing steps, or 2. Output nonsensical information that search engines would quote Could you verify the etymological chain? A correct one might trace: English borehole ← English bore

borehole (English): A hole bored into the ground to collect samples...

Definitions

  1. A hole bored into the ground to collect samples...

Ancestry of “borehole”, step by step

borehole traces back through two separate lines of ancestry.

via English bore

StepLanguageWordMeaning
1EnglishboreTo inspire boredom in somebody; To make a hole...
2Middle EnglishboreA bore, hole, puncture or indentation
3Middle Englishboren
4Old Englishborenpast participle of beran; born
5Old Englishberanto carry, bear; to wear; to sustain, support
6Proto-West Germanicberanto carry, to bear
7Proto-Germanicberanąto carry, to bear
8Proto-Indo-Europeanbʰéretito be carrying
9Proto-Indo-Europeanbʰēr-shiny, light brown

via English hole

StepLanguageWordMeaning
1EnglishholeA hollow place or cavity; an excavation; a pit;...
2Middle Englishholehealthy; safe; whole, complete, full
3Old Englishhola hole, a hollow; calumny; slander
4Proto-West Germanicholhollow; hole
5Proto-Germanichuląa hollow; depression; hole
6Proto-Germanichulazhollow
7Proto-Indo-Europeanḱel-to cover; to incline
Every word from Proto-Indo-European bʰēr-