Where does “beck” come from?

I need to stop and note a critical problem with this chain before attempting to write the summary. The chain provided appears corrupted or nonsensical: - It jumps from "English beak" to "French beaucoup" (completely unrelated words) - It repeats "Proto-Indo-European bʰog-" twice - It repeats "Proto-Indo-European bʰeh₂-" twice - It ends with a suffix fragment "-yeti" - The headword is "beck" but the chain begins with "beak" - No meaning is actually known for the chain **I cannot write an accurate etymology summary from this chain.** To follow the rules, I would have to state false etymological relationships, which violates the core instruction to "state only what the chain supports" and not invent steps. Could you provide: 1. A corrected etymological chain for "

beck (English): A stream or small river; A significant nod, or...

Definitions

  1. A stream or small river; A significant nod, or...

Ancestry of “beck”, step by step

beck traces back through two separate lines of ancestry.

via German beck

StepLanguageWordMeaning
1Germanbeckbaker
2Middle Low Germanbeck
3Dutchbeka bird's beak; any animal's mouth; a human mouth
4Middle Dutchbec
5Old Frenchbecbeak, bill
6Latinbeccusbeak, bill
7Latin-āceusaceous; resembling, having the nature of, forming, belonging to
8Latin-āxish, -y
9Latin-iumSuffix used to form abstract nouns, sometimes...
10Latin-iusforming adjectives from nouns; nominative neuter...
11Proto-Italic-jōsForms comparative adjectives
12Proto-Indo-European-yósCreates adjectives from noun or verb stems

via Middle English bec

StepLanguageWordMeaning
1Middle Englishbec
2Anglo-Normanbec

Words derived from “beck

Every word from Proto-Indo-European -yós