Hypothetical protect hand question: raise, cold call or fold?

[Nick Royale]

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Can you be confident that you really have 8.5 outs here?

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You don't need 8.5 outs here, you don't even need 6 outs and with 4 outs to the nuts you can't fold here, so I guess the decision goes between 3-betting or calling. The benefits of a 3-bet would be to possibly get a freecard and buy outs against hands such as Q9 and KJ. I think i prefer a 3-bet here, but I'm not sure.

However, if I'm offered a free card on the turn without improving to a straight or pair i would take it. Betting seems terrible to me.