I dunno Georgian but it really should be as Sakartvelo? Not like a base Kart(v) plus some local language changes for point of land?
Because as I can see:
- Fixes sa- and -o are for the area where X dwell⁰. For comapare, itʼs also used to sa-berʒn-eti «Greece»¹ sa-prang-eti «France»².
- Suffix -eli is for the person is from X³. Also used for other people. Suffix -v- is debatable, maybe itʼs for places.
So, I guess, in kinda Latin way itʼs Kart(v)ia.
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⁰ https://en.wikipedia.org/wiki/Names_of_Georgia#Endonym
¹ https://en.wiktionary.org/wiki/საბერძნეთი#Georgian
https://www.rferl.org/a/lithuania-moves-change-official-name...