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What caused me to lose this game? Was it Jesus?

20 Nxf6 gets you into trouble. The sequence following is quite forcing. I think you maybe could have saved him at 21 Nh5, but that was your only chance, and it's hard to see.

[edit]Oh, you're black. Um, yeah, you should have won that one.
First on move 2 just play Nc6 or even d6. then you develop your pieces by attacking his queen

In the end as you have a bishop on dark squares you need to let your pawns on white squares so you bishop can attack them
This is probably a great endgame to practice, actually. Start at move 28 and play this against the engine. Try playing both sides and see if you can win or hold to a draw.

[edit]You might also want to see if you can figure out the engine line that is forced mate in two on move 54.
Engine states that you lost after 45. ... a6 . But to be honest I don't like your whole approach to this kind of endgame after rook trade. My perception. What gives you spare peace? It gives you a lot of tempos.
1. You fix pawn chains in a way that prevents bad trades for you.
2. Then you play with your king and push enemy king away from pawn that he protects. When he tries to use opposition you just make a simple move with your peace and this force your enemy to lose pawn.
You implement ideas 1 & 2 depending on your opponent reaction.
3. You make a passer.
But during the game you was making a lot of no purpose moves with bishop, while your opponent just pushed forward. His pressure forced your 45. ... a6.
Better moves would have been:
27. ... Bxc3+ 28. Kxc3 Rxd1 You're a Rook ahead.
29. ... Bb2 30. a4 Bc3+ and Bxb4
34. ... and 36. ... Kd5 to bring your King to the center and prevent White King from getting to e4.
The position after 36. ... Kd5 looks very good for Black. If White's King at some point goes to c2 Black plays Kc4 and the pawns are about to fall. If White King attacks the Black Bishop with Ke2, then Bxc3.

45. ... a6 lost the game. White gets doubled passed pawns.
46. ...c6 would have let your King to guard the pawns (dxc6 Kxc6), but Ba7 forces your Bishop to stay on that diagonal to block the pawns, so it can't operate anywhere else.
In addition White has an extra pawn on the King side that is threatening to become a passed pawn.

45. ... a6 was a blunder and it's clear why it was a bad move. I would recommend to pay attention to ideas like 27. ...Bc3+, the pattern repeats quite often in some shape or another.
When you play 5+2 with low ratings, it's basically a "who makes the last blunder loses" situation.

Harsh to blame Jesus.
No, it wasn't Jesus. It was 45. ...a6. You clearly needed to get over to the other side to clear out those pawns. Your K was in an optimal position to hold back the Q-side advance; and you have the extra B to deal with the K-side. Strategic blindness did you in. I suffer from this too. Keep on trying bud. You played a good game otherwise; it's just an example of how one lousy move can seal your fate... snatching defeat from the jaws of victory.
Your opening was very unsound, but some how you got things rolling good.

27... Bc3+ Has you going in to the endgame with a Rook instead of a bishop up an easier win. (I would think the rook knocks out the g & h pawns to promote your own h pawn probably the simplest / safest way)
45... a6 is bad, you let your entire position collapse
54... Be5 would have been mate in 2, Bishop on g7 is mating so the only way to stop that is an escape square with g6 but that opens up the back door for the bishop to attack the king from the rear with Bf4 mate

Good job resigning when you did, it was very grim.
Your endgame play was poor. Your main focus in endgames should be king position. Pushing your bishop around just allowed white to get an active king and advance his pawns. Jesus didn't lose this game, you did.

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