Any hints how to survive or win having a bishop pair against a Queen in endgames. What you should do? how to cooperate between them? what's the opponent best strategies?

Any hints how to survive or win having a bishop pair against a Queen in endgames. What you should do? how to cooperate between them? what's the opponent best strategies?

This is one of the well known endgames and the side with the queen almost always (92% positions) wins, although some wins take more than 50 moves with perfect play.
See the solution for your position here by entering your position into the diagram.
I must point out that every move has been taken into account and every possible continuation has been explored.
I forgot to answer part of your question about challenging the queen:
It is worth noting, that the position shifted down by one row is a fortress setup and black draws. The setup is known as the Lolli position.
8/6k1/5bb1/8/2Q5/8/3K4/8 w - - 0 1
It is winning for white, because queen and king can bring black into zugzwang, where black loses bishop. I tried it against stockfish and I won it, but it takes 56 moves.
This looks like a very simple draw. Shuffle the bishop from g7 to f8 to g7 and if that is illegal shuffle the king one square back and forth while protecting both of the bishops.