My apologies, I didn't realize 87o was in there. Definitely ruins the odds. Here is an updated odds range:
Board: 6s 6d 3s
Dead:
equity win tie pots won pots tied
Hand 0: 30.104% 30.10% 00.00% 11026 1.00 { 9c9h }
Hand 1: 69.896% 69.89% 00.00% 25602 1.00 { AsJs, AsTs, A6s, KsQs, KsJs, KsTs, Ks9s, QsJs, QsTs, Qs9s, JsTs, Js9s, Ts9s, Ts8s, 9s8s, 9s7s, 8s7s, 86s, 76s, 65s, 5s4s, 76o, 65o }
If we take out A6s out:
Board: 6s 6d 3s
Dead:
equity win tie pots won pots tied
Hand 0: 31.333% 31.33% 00.00% 10856 1.00 { 9c9h }
Hand 1: 68.667% 68.66% 00.00% 23792 1.00 { AsJs, AsTs, KsQs, KsJs, KsTs, Ks9s, QsJs, QsTs, Qs9s, JsTs, Js9s, Ts9s, Ts8s, 9s8s, 9s7s, 8s7s, 86s, 76s, 65s, 5s4s, 76o, 65o }
If we leave in A6s and every other AsXs.
Board: 6s 6d 3s
Dead:
equity win tie pots won pots tied
Hand 0: 34.073% 34.07% 00.00% 14504 1.00 { 9c9h }
Hand 1: 65.927% 65.92% 00.00% 28064 1.00 { AsJs, AsTs, As9s, As8s, As7s, A6s, As5s, As4s, As3s, As2s, KsQs, KsJs, KsTs, Ks9s, QsJs, QsTs, Qs9s, JsTs, Js9s, Ts9s, Ts8s, 9s8s, 9s7s, 8s7s, 86s, 76s, 65s, 5s4s, 76o, 65o }
If we take out half of the 76o/65o (basically only 76o)
Board: 6s 6d 3s
Dead:
equity win tie pots won pots tied
Hand 0: 38.206% 38.20% 00.00% 13994 1.00 { 9c9h }
Hand 1: 61.794% 61.79% 00.00% 22634 1.00 { AsJs, AsTs, As9s, As8s, As7s, A6s, As5s, As4s, As3s, As2s, KsQs, KsJs, KsTs, Ks9s, QsJs, QsTs, Qs9s, JsTs, Js9s, Ts9s, Ts8s, 9s8s, 9s7s, 8s7s, 86s, 76s, 65s, 5s4s, 76o }
If we leave in 65o but put in 77 to TT
Board: 6s 6d 3s
Dead:
equity win tie pots won pots tied
Hand 0: 42.441% 41.67% 00.77% 25577 473.50 { 9c9h }
Hand 1: 57.559% 56.79% 00.77% 34856 473.50 { TT-77, AsJs, AsTs, As9s, As8s, As7s, A6s, As5s, As4s, As3s, As2s, KsQs, KsJs, KsTs, Ks9s, QsJs, QsTs, Qs9s, JsTs, Js9s, Ts9s, Ts8s, 9s8s, 9s7s, 8s7s, 86s, 76s, 65s, 5s4s, 76o, 65o }
In retrospect, seeing as how we need ~37% equity to call here just to break-even, in a vacuum, the safe play is to fold, but I don't mind a call barring reads (it's really close either way).