Near Perth, mine is a dog (6)

I believe the answer is:

collie

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'a dog' is the definition.
(collie is a kind of dog)

I cannot understand how the rest of the clue works.

(Other definitions for collie that I've seen before include "Breed of sheepdog" , "Sheep-herding dog" , "shepherd's gofer" , "Breed of dog" , "Type of sheepdog" .)

I've seen this clue in the Sydney Morning Herald.

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