Bird beside cafeteria pecking menthol cigarette butts (5)

I believe the answer is:

eagle

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'bird' is the definition.
(eagle is a type of bird)

I cannot understand how the rest of the clue works.

(Other definitions for eagle that I've seen before include "Keen-sighted bird of prey" , "The emblem of the US is bald" , "King of birds" , "Bird with hooked bill and long broad wings" , "Keen-eyed bird" .)

I've seen this clue in the Sydney Morning Herald.

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