$11 Tournament. Start of tournament. Effective stacks 167bb. No information on the players.

Hero is in the SB with KK. UTG open 4bb, UTG+1 raises to 40bb, Hero jams 167bb. UTG+1 calls with AA.

Is this play standard? At what stack depth are we comfortable to stack off with KK.

Is it better to 4bet small and call a jam with KK?

Are we 4bet folding JJ, QQ, AKo, AKs at that stack depth? I do not expect people to have a 3bet bluffing range at these stacks for that size.