No, the best leader of Georgia definitely has to be Davit IV
Aghmashenbeli - I maintain that he is even a better choice than Tamar, who is maybe 2nd, maybe 3rd underneath Giorgi V
Brts'q'invale.
Davit IV is typically portrayed in iconography with a crown, but a more interesting crown than usual because it has these strings of pearls or other gems running down either side of his head like sidelocks, and also holding up a whole damn church:
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(Also no, St. George is not the namesack of Georgia, which probably ultimately comes from a Persian word meaning "wolves")