Crossword Genius

Writer set up one game and another (5)

Ross

I believe the answer is:

bingo

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'and another' is the definition.
I can't judge whether this definition defines the answer.

'writer set up one game' is the wordplay.
'writer' becomes 'nib' (something which writes).
'set up' says the letters should be written in reverse.
'one game' becomes 'go' (go is a kind of game).
'nib' written backwards gives 'bin'.
'bin'+'go'='BINGO'

Can you help me to learn more?

(Other definitions for bingo that I've seen before include "Number game" , "Game in which "two little ducks" might be called" , "House!" , "Housey-housey" , "Number-calling game" .)

I've seen this clue in The Telegraph.
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