Echoes the words of the agent out East (7)

I believe the answer is:

repeats

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'echoes the words' is the definition.
'repeats' can be an answer for 'echoes' ('repeat' can be a synonym of 'echo'). I am not sure about the 'the words' bit.

'agent out east' is the wordplay.
'agent' becomes 'rep' (short for representative).
'out' is an anagram indicator.
'east' anagrammed gives 'eats'.
'rep'+'eats'='REPEATS'

'of the' acts as a link.

Can you help me to learn more?

(Other definitions for repeats that I've seen before include "Performs again" , "Reiterates" , "Echoes" , "Says again" , "States again" .)

I've seen this clue in the Evening Standard.

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