Fall off the building (4)

I believe the answer is:

shed

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'the building' is the definition.
(shed is a kind of building)

I cannot understand how the rest of the clue works.

(Other definitions for shed that I've seen before include "Get rid of - hut" , "Abandon" , "storage building" , "tools here, maybe?" , "Discard (something)" .)

I've seen this clue in The Irish Independent.

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