Don't open nearby (5)

I believe the answer is:

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This might be a double definition.

'don't open' is the first definition.
'close' can be an answer for 'open' (thesaurus). I'm unsure of the 'don't' bit.

'nearby' is the second definition.
(similar in meaning)

Can you help me to learn more?

(Other definitions for close that I've seen before include "Imminent" , "Airless" , "stuffy" , "block, > unventilated" , "cathedral precinct" .)

I've seen this clue in The Irish Independent.

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