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Agreed to work around noon, annoyed (7)

Ross

I believe the answer is:

enraged

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'annoyed' is the definition.
Both the answer and definition are adjectives. Perhaps they are linked in a way I don't understand?

'agreed to work around noon' is the wordplay.
'to work' indicates anagramming the letters (letters worked into a new order).
'around' indicates putting letters inside.
'noon' becomes 'n'.
'agreed' anagrammed gives 'eraged'.
'eraged' placed around 'n' is 'ENRAGED'.

Can you help me to learn more?

(Other definitions for enraged that I've seen before include "Wound up" , "Incensed" , "Angered (anag) - extremely so!" , "upset" , "on the warpath?" .)

I've seen this clue in The Daily Express.
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