Marks a game in mass distribution (7)

I believe the answer is:

stigmas

'marks' is the definition.
('stigma' can be a synonym of 'mark')

'a game in mass distribution' is the wordplay.
'a game' becomes 'tig' (I've seen this in other clues).
'in' is an insertion indicator.
'distribution' is an anagram indicator.
'mass' anagrammed gives 'smas'.
'tig' put inside 'smas' is 'STIGMAS'.

(Another definition for stigmas that I've seen is " Symbols of disgrace or infamy".)

I've seen this clue in the Sydney Morning Herald.

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