Crossword Genius

Their game is a silly one (4)

Ross

I believe the answer is:

mugs

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

'their game' is the definition.
I can't tell whether this defines the answer.

'silly one' is the wordplay.
'silly' becomes 'mug' (both can mean a foolish person).
'one' becomes 's' (I can't justify this - if you can you should give a lot more credence to this answer).
'mug'+'s'='MUGS'

'is a' is the link.

Can you help me to learn more?

(Other definitions for mugs that I've seen before include "'Cups, faces and fall guys (4)'" , "Robs with the threat of violence" , "Gullible people" , "Attacks" , "Cups without saucers" .)

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