Flop big draw OOP, no fold equity(?)

[private joker]

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pls show me an example.

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I was thinking of this hand:

PokerStars $5/$10 Limit Hold'em - 6 players
Hand Converter Tool from DeucesCracked.com

Preflop: Hero is BB with J[img]/images/graemlins/spade.gif[/img], T[img]/images/graemlins/club.gif[/img]
UTG folds, <font color="#FF0000">MP raises</font>, CO folds, Button folds, SB folds, Hero calls.

Flop: (4.40 SB) 3[img]/images/graemlins/club.gif[/img], 6[img]/images/graemlins/spade.gif[/img], 9[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, <font color="#FF0000">MP bets</font>, <font color="#FF0000">Hero raises</font>, <font color="#FF0000">MP 3-bets</font>, <font color="#FF0000">Hero caps!</font>, MP calls.

Turn: (6.20 BB) 8[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#FF0000">Hero bets</font>, MP calls.

River: (8.20 BB) 2[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#FF0000">Hero bets</font>, MP calls.

Final Pot: 10.20 BB

Results:
<font color="#FFFFFF">
MP shows As, Kh (high card Ace).
Hero shows Js, Tc (high card Jack).
Outcome: MP wins 9.90 BB.
($3.00 Rake)
</font>

But it turns out this was a different 2+2er who should never be calling me down with A-high here (since I've never bet the river with worse until this hand) and even said "gift" in the chat before paying me off.

Also, wow I played this hand so badly. At least I was right that he had AK.