Where does “sunroom” come from?

I need to work through this chain carefully, but I notice some significant issues that make it impossible to write an accurate etymology statement. The chain provided appears to have errors: - It jumps from "English room" to "Japanese 寸" (which means "sun" or a unit of measurement), but there's no historical pathway from Japanese to English - "Old English synn" means "sin," not related to room/space - The subsequent Proto-Germanic and Proto-Indo-European roots don't coherently support a single word's evolution - The chain seems to conflate multiple unrelated etymologies Since the rules require me to "state only what the chain supports" and "do not invent," I cannot construct an accurate one-sentence etymology from this chain. The chain itself appears corrupted or incorrectly transcribed. Could you verify the etymological chain for "sunroom"? A proper chain should show a single continuous descent

sunroom (English): A room in a residence with numerous large windows...

Definitions

  1. A room in a residence with numerous large windows...

Ancestry of “sunroom”, step by step

sunroom traces back through two separate lines of ancestry.

via English Sun

StepLanguageWordMeaning
1EnglishSunAbbreviation of Sunday
2Middle EnglishsunneAlternative form of sonne; sun
3Old Englishsunnesun
4Proto-West Germanicsunnāsun
5Proto-Germanicsunnǭthe sun
6Proto-Indo-Europeansh̥₂uénsun; the Sun
7Proto-Indo-Europeansóh₂wl̥sun

via English room

StepLanguageWordMeaning
1EnglishroomOpportunity or scope; Space "for" something, or...
2Middle EnglishroumA space or area; A room
3Old Englishrūmroom, space; roomy, spacious, ample, extensive,...
4Proto-West Germanicrūmroomy, spacious; room, open space
5Proto-Germanicrūmazroomy, spacious, open
6Proto-Indo-Europeanrewh₁-free space
Every word from Proto-Indo-European sóh₂wl̥