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T9s is a good hand to see a cheap flop with, but its showdown value is not so high. Its only 54% to beat a random hand and only in the top 40% of hands ranked by showdown value. So within the next 10 hands, on average, you should see 3 hands that will have greater equity if you shove them.
On the other hand the table is tight and you have played tight, so if this is your first shove, you have a ton of fold equity. In these circumstances an AI with T9s was +EV and it was unlucky that there was a premium hand behind you.
With that amount of chips, you were not desperate. I think I would have either raised 3BB, as the table was tight, as a blind steal or folded.
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