Where does “baddai” come from?

baddai (Sardinian) comes from Late Latin ballo, from Ancient Greek βαλλίζω, from Proto-Indo-European gʷelH- — to throw, reach, pierce; to hit by throwing.

Ancestry of “baddai”, step by step

Step	Language	Word	Meaning
1	Late Latin	ballo	to dance
2	Ancient Greek	βαλλίζω	to dance, jump about
3	Proto-Indo-European	gʷelH-	to throw, reach, pierce; to hit by throwing

Every word from Proto-Indo-European gʷelH- →Every word from Ancient Greek βαλλίζω →Every word from Late Latin ballo →