Re: Kicker wars.
at some point he has to give you credit for AA.
his calling range (that matters here) with SB in should be something like 95s, 96s, 97, 98, T9, J9, Q9, K9, A9, and pairs (including 22). would he 3-bet A9 3-way here or see a flop?
when he bet 3-bets the turn it looks like any hand with a 9 or 22, but once you cap he really should be giving you credit for AA/A9/K9/Q9/J9/T9. he should behave accordingly on the river.
without actually calculating anything - i'd say this is a call, and K9 would be a slim raise. i would call Q9.
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