Crossword Genius

What could be bridge diversion (4)

Ross

I believe the answer is:

game

I'm a little stuck... Click here to teach me more about this clue!

'diversion' is the definition.
(I know that game is a type of diversion)

'what could be bridge' is the wordplay.
I cannot really understand how this works, but
'be' could be 'am' and 'am' is found in the answer.
The remaining letters 'ge' is a valid word which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for game that I've seen before include "Willing; plucky" , "Ducks and drakes, for example" , "Play or sport" , "Scrabble or Monopoly, say" , "See 8" .)

I've seen this clue in The Times.
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