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Bishop vs Opposite Colored Bishop and Pawn in Antichess

I recently played a blitz game of antichess and I lost on time. In the final position I had only a bishop whereas my opponent had an opposite colored bishop and a pawn. I feel like this should be considered a draw, since there is no way I can take the other bishop or stalemate my opponent, so the only theoretically possible outcomes of the position is a win for me or a draw. There is an exception, if the pawn is on the b or g file, then I could block his pawn while his pawn blocks his bishop (e.g. his bishop is on a1, his pawn on b2 and I move my bishop to b1). Are there any official rules contradicting my opinion here?
If you have opposite coloured bishops and no other moves the game is a draw and will end automatically.

If the opponent has no moves available (such as in your example with bishop in the corner) then the person who has been stalemated will win.

If it is not a definite draw when time runs out then the person who ran out of time will lose. (even king v king is not definite draw as someone can blunder and the other person can win)

Hope this answers your question if not let me know
As @Mayoss1 said: If there still is some kind of mating blunder possible, the game continues. Of course if you are playing against 2000+ player, this blunder will not happen, but there still are some 1200 players who can blunder the bishop endgame.
In anti-chess if both players have just a knight, the one who moves when they are both on the same colour cannot lose.
Knight versus knight can be problematic, cause there are many squares in endgames where your knight cant go, but it is matter of experience
@kex09 Knight vs Knight is a win for the player who has the move when both knights are on the squares of the same colour.
I have lost on time in antichess in positions where all possible series of legal moves of course including terrible blunders lead to a win for me. Maybe there could be an option to adjudicate such games. :)

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