Crossword Genius

Looking for enlightenment they quickly run through plot (7)

Ross

I believe the answer is:

bemused

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'looking for enlightenment they quickly' is the definition.
The definition suggests an adverb but the answer is not.

'run through plot' is the wordplay.
'run' becomes 'emus' (I am not sure about this - if you are sure you should believe this answer much more).
'through' means one lot of letters goes inside another (inserted letters go through the word).
'plot' becomes 'bed' (a plot of land).
'emus' placed into 'bed' is 'BEMUSED'.

Can you help me to learn more?

(Other definitions for bemused that I've seen before include "Dazed" , "Confused, bewildered" , "Stupefied" , "Perplexed, bewildered" , "Puzzled" .)

I've seen this clue in The Times.
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