Game for the fireside? (5)

I believe the answer is:

poker

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

I don't understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for poker that I've seen before include "Rod; betting game" , "Fire rod; game" , "Park/zoo attendant" , "Ashes stirred by this" , "Stiff rod; card game" .)

I've seen this clue in The Irish News.

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