2/5 game, hero has 750 and a TAG image.
Stacks range from 500 to 1250. Loose table with very little 3 betting pre and lot of multiway pots.

OTTH
2 players in MP limp
Hero raises to 35 with TsTc in CO
Button calls 35
SB folds, BB calls, 1st limper folds, 2nd calls.
Button and BB are loose passive, mp limper seems nitty.

Flop (147)
Kh 7d 6d
Checks to hero who bets 85. (We seldom cbet 4 ways but we have only one player behind, people are liable to call with worse and don't expect to be raised with worse.)
Btn calls.
BB and MP fold.

Turn (317)
Kh 7d 6d 8s
Hero checks (pot control, we will call a small bet but are prepared to fold if he bets big)
Btn checks

River(317)
Kd 7h 6d 8s 7d
Hero checks. (The flush gets there, 7x is now trips. Not sure if he calls with a lot worse or if he folds Kx.)

Btn bets 105
Hero? (We have played the hand passively and he might put us on a AQ,AJ kind of hand. On the other hand we don't beat much and we get 4-1 to call.)

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Terrible cbet

Since you labeled the button as loose passive I would think that his flop call means he has something. His turn check is kind of weird if he has a hand like KJ or KQ. On the other hand he would probably check a 7 and then bet it when he makes trips on the river. The diamond also gets there and maybe he is liable to "trap" with a made straight on the turn. 4-1 is tough. I think I would call with my tens that don't have a diamond and fold my tens that do but this is player dependent. I guess in your spot I would call and most of the time lose to a king or a 7.

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Flop bet seems defensible since we don't have a and the board is a good one for us to c-bet with a large % of our range.

Turn check is good now that we have a gutshot.

River seems like a good one to fold.

Well played imo.

Ugh. I probably play it about the same way and call the small river bet. Dunno if that's the best line, but I don't think it's terrible.

Then sigh when he shows 97. Kinda feels like a flush tho. I don't really have a good reason to fold at 4-1 odds here, outside of your read that he is a passive guy so probably not betting less than Kx unless he can bluff a missed straight draw?

It wouldn't be totally unexpected to see a small bluff here from a passive sort as it's a really obvious scare card on the one hand but he may not want to risk a more plausible bet size. And even the passive guys do bluff sometimes (just not very well, usually).

Btw, you have Kh7d on flop but swapped the suits on the river. I think river is correct?

Yes, river is correct, it was the Kd

Good bet OTF

I think i would continue firing the turn. Flush didnt get there, we have some outs and SDV, we get called by worse, would weight the btn less to Kx. He does not flop top pair here often and should be a lot wider than Kx pre, 67 raises imo, so TT still good a lot and we threaten Kx hands with stacking off with TPGK

I also like firing this board twice with air because we have the most and strongest Kx in our range, so TT is pretty high up in our value range

I think you can (almost) never expect to be good OTR. Bad river imo so i think its a fold but we asked him to bluff so call is not in the realm of possibility. We still beat 89 but expect most to check that hand back. I fold fwiw

I'm confused, TT is near the bottom of our value range. Only hands possibly worse than this are 99 and A8, both of which are even better hands to check turn.