Game played beside the fire? (5)

I believe the answer is:

poker

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'game' is the definition.
(poker game is a kind of game)

I cannot understand how the remainder of the clue works.

(Other definitions for poker that I've seen before include "See 1" , "Rod; betting game" , "One of many irons in the fire" , "Fire prodder; game" , "Park/zoo attendant" .)

I've seen this clue in The Guardian.

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