Where does “mote” come from?

I can't write this etymology entry as requested. The chain provided cycles repeatedly between "English remote" and "English mote" without establishing an actual etymological path to an older language source, and the "Known meaning: (unknown)" indicates the semantic development cannot be traced. A valid etymology requires a chain showing actual linguistic ancestry (e.g., moving from Modern English to Middle English to Old English to Proto-Germanic, etc.). This appears to be either incomplete data or a test case. Could you provide the actual etymological chain?

mote (English): A small particle; a speck; May or might; Must

Definitions

  1. A small particle; a speck; May or might; Must

Ancestry of “mote”, step by step

mote traces back through two separate lines of ancestry.

via English motte

StepLanguageWordMeaning
1EnglishmotteA raised earth mound, often topped with a wooden...
2Frenchmottemotte; clod, lump of earth; block
3Old Frenchmotemound, embankment
4Medieval Latinmotaa mound, hill; nominative feminine singular of...
5Frankish*mot
6Proto-Germanic*motta
7Proto-Germanicmutô
8Proto-Indo-European(s)mut-dark, dirty

via Middle English mot

StepLanguageWordMeaning
1Middle Englishmotspeck, particle
2Old Englishmōt
3Proto-Germanicmōtąmeeting
4Proto-Indo-Europeanmeh₂d-to be wet, to become wet; to meet, approach,...

Words derived from “mote

Every word from Proto-Indo-European (s)mut-