Where does “footsore” come from?

I appreciate the detailed rules, but I need to flag that the etymology chain provided appears problematic. The chain listed (English foot → Middle English fot → Latin super → Latin securus → Latin ex → Latin ex → Ancient Greek ἀήρ) doesn't form a coherent linguistic path for "footsore." "Footsore" should derive from "foot" + "sore" (both Old English/Germanic roots), not connect to Latin "super," "securus," or Greek "aēr" (air). I cannot write an accurate one-sentence summary that follows your rule of naming "every language in the chain in order" because doing so would produce a false etymology that violates your primary instruction: "State only what the chain supports. Do not invent dates, cognates, or intermediate steps." Could you verify the etymology chain? With a correct chain, I can provide the sentence you need.

footsore (English): Having sore feet, but perhaps also a certain...

Definitions

  1. Having sore feet, but perhaps also a certain...

Ancestry of “footsore”, step by step

footsore traces back through two separate lines of ancestry.

via English foot

StepLanguageWordMeaning
1EnglishfootA biological structure found in many animals that...
2Middle Englishfotfoot; The bottom, lower part or foundation of...
3Old Englishfōtfoot
4Proto-West Germanicfōtfoot
5Proto-Germanicfōtsfoot
6Proto-Indo-Europeanpṓdsfoot
7Proto-Indo-Europeanpódsfoot
8Proto-Indo-Europeanped-to walk, to step; to stumble, to fall

via English sore

StepLanguageWordMeaning
1EnglishsoreCausing pain or discomfort; painfully sensitive;...
2Middle EnglishsorAlternative form of sore; sorrel; A sorrel horse
3Old Englishsārpainful, grievous; ache, wound; sore, ache
4Proto-West Germanicsairpainful, sore; pain; wound
5Proto-Germanicsairąwound; sore
6Proto-Germanicsairazsore, painful
7Proto-Indo-Europeanseh₂yro-
8Proto-Indo-Europeanseh₂y-to bind; to be fierce, afflict; to tie, bind

Words derived from “footsore

Every word from Proto-Indo-European ped-Every word from Proto-Indo-European pódsEvery word from Proto-Indo-European pṓds