Where does “noncompetition” come from?

I need to work through this chain carefully, as it appears to have some issues. Looking at the chain provided (newest to oldest): English competition | French compétition | Latin nouns | Latin novem | Latin peto | English nine | Latin com | Latin com This chain seems problematic - it mixes unrelated etymologies. "Competition" comes from Latin "competere" (com- + petere, "to seek together"), not from "novem" (nine). The chain as presented doesn't form a coherent path. However, I'm instructed to "state only what the chain supports" and not invent steps. The chain given doesn't logically support a coherent etymology for "noncompetition." Given the constraint that I must work with what's provided but the chain is incoherent, I cannot write an accurate one-sentence etymology. **I cannot complete this task as written.** The

noncompetition (English): Of or pertaining to an agreement not to compete...

Definitions

  1. Of or pertaining to an agreement not to compete...

Ancestry of “noncompetition”, step by step

StepLanguageWordMeaning
1EnglishcompetitionThe action of competing; A contest for a prize or...
2Frenchcompétitioncompetition
3Late Latincompetitiorivalry; competition
4Latincompetōto come together, meet
5Latincōn-Used in compounds to indicate a being or bringing together of several objects
6Latincumwith, along with; at; -fold
7Old LatincomAlternative form of cum
8Proto-Italickomwith, along, at
9Proto-Indo-Europeanḱómbeside, near, by, with
10Proto-Indo-EuropeanḱeDeictic particle, here; Post-positional...
11Middle Englishkyt
12Germankittputty certain kinds of cement used for fixing e.g. window panes
13Old High Germankuti
14Proto-West Germanickwidugum, resin
15Proto-Germanickweduzresin
16Proto-Indo-Europeangʷet-resin, gum; to say, speak
17Proto-Indo-Europeangū-to bend; curve; arch; vault; to bow, bend, arch,...
Every word from Proto-Indo-European gū-