Overcard whiff, basic question

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I think u should bet here to try to make the CO fold and get a good position to take a free card if the turn is a blank for u. U have (very likely)6 clean outs on the K and J and on top of that a backdoor flushdraw and a highcard which might win u the pot in the K. Bet, i if u get raise u call and see what the turn brings. If the CO folds and SB calls u can take a free card on the turn if it is a blank.