Race had become disorderly farce (7)

I believe the answer is:

charade

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'disorderly farce' is the definition.
'charade' can be an answer for 'farce' (both can mean absurd or false situation). I am not sure about the 'disorderly' bit.

'race had become' is the wordplay.
'become' indicates an anagram.
'race'+'had'='racehad'
'racehad' is an anagram of 'CHARADE'.

Can you help me to learn more?

(Other definitions for charade that I've seen before include "Farce - mime" , "An absurd pretence, could be a game" , "Word-guessing riddle" , "Acted riddle - pretence" , "Had care in the acted riddle" .)

I've seen this clue in The Times.

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