Better to reveal everything, perhaps, in this game? (5,5)

I believe the answer is:

strip poker

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

'better to reveal everything perhaps in this game?' is the definition.
'strip poker' can be an answer for 'game?' (strip poker is a kind of game). I'm not sure about the rest of the definition.

'in this game?' is the wordplay.
'in this' becomes 'strip' (I am not sure about this - if you are sure you should believe this answer much more).
'game?' becomes 'poker' (poker game is a kind of game).
'strip'+'poker'='STRIP-POKER'

Can you help me to learn more?

(Another definition for strip poker that I've seen is " Revealing game".)

I've seen this clue in The Times.

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