Finds a closet is broken (7)

I believe the answer is:

locates

'finds' is the definition.
(I know this)

'a closet is broken' is the wordplay.
'is broken' indicates an anagram.
'a'+'closet'='acloset'
'acloset' with letters rearranged gives 'LOCATES'.

(Other definitions for locates that I've seen before include "spots" , "runs to earth" .)

I've seen this clue in The Mirror.

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