Mum and family catching cold with rubbish raincoat (10)

I believe the answer is:

mackintosh

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'raincoat' is the definition.
(mackintosh is a kind of raincoat)

I cannot understand how the rest of the clue works.

(Other definitions for mackintosh that I've seen before include "Weather defence" , "Architect" , "Raincoat" , "waterproof layer" , "providing protection from the elements" .)

I've seen this clue in The Times.

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