AKs vs 3 flush board

Just trying to clarify....

Seems like everyone is happy with the turn raise. That would mean its a value bet because from an odds perspective no one card club is folding.

You would also have to assume that you aren't splitting this pot with another AK or are not already beat by AA or a flush.

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I'm not sure your TPTK has enough equity in taking down this pot to warrant the raise. Do you win this hand 33% of the time (1 raise to 2 more big bets)