"What's bothering me is, the computer analysis doesn't see Be5 as a dead draw, but rather gives black a .93 edge. "
Black has almost a pawn advantage because he is a pawn up.
Not if Black can't convert it into a win. Like I said, I played this position out against the computer, and eventually it was showing 0.00 even though black was "up a pawn".
Ok, so I was white this game, and this was the position heading into move 48:
My first thought was to play Be5, as after Black takes the pawn I didn't see any way for him to make progress, but then I realized that I could protect the pawn with Bg1, and I got careless and made the move quickly without realizing the bishop would be trapped after ...Kg2. So Bg1 lost on the spot.
What's bothering me is, the computer analysis doesn't see Be5 as a dead draw, but rather gives black a .93 edge. I can't figure out for the life of me how it wouldn't be a draw after 48. Be5, I even continued the game against the computer on the highest level and by around move 100 it was showing 0.00. All I was doing was moving the bishop along the diagonal.
How does Black have a path to win after 48. Be5?
Full game below: