Where does “кий” come from?

кий (Yakut) comes from Russian кий, from Proto-Slavic kyjь, from Proto-Balto-Slavic kuʔios-, from Proto-Indo-European kuh₂, from Proto-Indo-European kewh₂- — to hit, to strike; to forge.

кий (Yakut): (and related games) cue

Definitions

(and related games) cue

Ancestry of “кий”, step by step

Step	Language	Word	Meaning
1	Russian	кий	stick
2	Proto-Slavic	kyjь	stick, club; hammer
3	Proto-Balto-Slavic	kuʔios-	—
4	Proto-Indo-European	kuh₂	—
5	Proto-Indo-European	kewh₂-	to hit, to strike; to forge

Every word from Proto-Indo-European kewh₂- →Every word from Proto-Indo-European kuh₂ →Every word from Proto-Balto-Slavic kuʔios- →