Person leaves northwest London neighbourhood pub (3)

I believe the answer is:

inn

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'pub' is the definition.
(an inn is a type of pub)

I cannot understand how the rest of the clue works.

(Other definitions for inn that I've seen before include "Drinking-place" , "eg the Tabard" , "Commercial premises" , "Hotel with lodging for travellers" , "Gray's, Lincoln's" .)

I've seen this clue in The Independent.

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