Puzzle in game (6)

I believe the answer is:

enigma

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'puzzle in game' is the definition.
'enigma' can be an answer for 'puzzle' (I've seen this before). I'm not sure about the 'in game' bit.

'puzzle in game' is the wordplay.
'puzzle' indicates an anagram.
'in'+'game'='ingame'
'ingame' anagrammed gives 'ENIGMA'.

Can you help me to learn more?

(Other definitions for enigma that I've seen before include "Puzzle found in gem, Ian" , "Puzzle of gamine (6)," , "German military cipher machine" , "Puzzle for gaming" , "WWII cipher" .)

I've seen this clue in The Irish News.

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