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No, you made the wrong play.
(1) He limped, which meant that he was either mediocre or very strong wanting you to think he was mediocre so that you would commit your chips. (And, you did.)
(2) See a flop. K9os is only K high and a flop does not cost you anything.
(3) K or 9 does not come, be willing to fold or check it down to see what he was holding. Checking here could be strong for you because a bet would actually imply a bluff in this position because having no chips makes you look desperate regardless and making a bluff is pointless as you will probably be called w/ atc.
(4) If you have 3100 not including the posted BB (you did not clarify whether your 3100 was inclusive of the blind or not) if it wasn't fold. Assume you lose the SB too, you're down to 2625 with 2550 on the button. And, statistically if you have not gotten anything for awhile the cards will come back around to at least an A high hand or PP.
My point is that I've taken both courses of action in a tourney; one getting desperate w/ 5x or less chips and two willing to let my chips dwindle almost all the way down. The final result was that twice I came back and literally won the tournament doing the latter and only ever lost doing the former. You should be patient, because you knew when you pushed you were done.
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