Protected Passed Pawn Endgame

An endgame position I had, move 29. Seems like white should have an advantage because of the protected d-pawn and a better bishop, but is there any way white can try to win this endgame by force? I tried but didn't work well. Thanks lichess.org/emxZDzsj/white#57

I don't think so. The passed pawn can easily be blocked from advancing by both black's bishop and king. Being that material is equal and both kings can race up to the center, I don't think that there is a forced win for white.

This position is probably drawn. But if white trades Bishops, he might lose.

Bishop prefer open positions. With 7 pawns each both players have bad positions. ;)

In the Stonewall the formal „good“ Bg2 is no ounce better than the „bad“ Bc8 (Kramnik).

Passed pawn? A horse! A horse! My kingdom for a horse!

After 33...g5 I would almost instantly play 34.g4. Put all my pawns on light squares, fix that pawn as a target on g5 and then slowly try to invade, either on the f5 square or slowly invade over on the queenside light squares. I'm not sure, and I haven't checked with an engine, but my gut tells me White should win.

EDIT: Correct idea, tactical blunder. Since the king moved to c3, Black would have the strong reply ...e4. Hence why the improvement 33.h3, with similar ideas, suggests itself.