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If it's a tight 3-bet, I would just dump it.
equity (%) win (%) tie (%)
Hand 1: 14.5849 % 14.02% 00.56% { JTs }
Hand 2: 45.8822 % 45.63% 00.26% { QQ+ }
Hand 3: 13.2008 % 12.50% 00.70% { 22+, A2s+, K2s+, Q2s+, J4s+, T6s+, 96s+, 86s+, 76s, 65s, A2o+, K5o+, Q7o+, J7o+, T8o+, 98o }
Hand 4: 13.1773 % 12.48% 00.70% { 22+, A2s+, K2s+, Q2s+, J4s+, T6s+, 96s+, 86s+, 76s, 65s, A2o+, K5o+, Q7o+, J7o+, T8o+, 98o }
Hand 5: 13.1548 % 12.46% 00.70% { 22+, A2s+, K2s+, Q2s+, J4s+, T6s+, 96s+, 86s+, 76s, 65s, A2o+, K5o+, Q7o+, J7o+, T8o+, 98o }
equity (%) win (%) tie (%)
Hand 1: 18.8751 % 18.13% 00.75% { JTs }
Hand 2: 38.1011 % 37.40% 00.70% { QQ+, AKs, AKo }
Hand 3: 14.3534 % 13.50% 00.86% { 22+, A2s+, K2s+, Q2s+, J4s+, T6s+, 96s+, 86s+, 76s, 65s, A2o+, K5o+, Q7o+, J7o+, T8o+, 98o }
Hand 4: 14.3670 % 13.51% 00.85% { 22+, A2s+, K2s+, Q2s+, J4s+, T6s+, 96s+, 86s+, 76s, 65s, A2o+, K5o+, Q7o+, J7o+, T8o+, 98o }
Hand 5: 14.3034 % 13.45% 00.86% { 22+, A2s+, K2s+, Q2s+, J4s+, T6s+, 96s+, 86s+, 76s, 65s, A2o+, K5o+, Q7o+, J7o+, T8o+, 98o }
My guess is the guys calling 3-bets cold are running better hands than this too (more like 10-20% instead of the 50% I gave them), further cutting into your equity.
Per post-flop equity concerns, you're going to have to play this fast and showdown pairs by virtue of the pot size. Also, an out of control kill pot tends to put people all-in pretty fast.
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