Milky beer distributed in part of Australia (9)

I believe the answer is:

kimberley

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'part of australia' is the definition.
The definition suggests a singular noun which matches the answer.

'milky beer distributed' is the wordplay.
'distributed' indicates an anagram.
'milky'+'beer'='milkybeer'
'milkybeer' anagrammed gives 'KIMBERLEY'.

'in' acts as a link.

Can you help me to learn more?

(Other definitions for kimberley that I've seen before include "South African town" , "Girl's name - mining city" .)

I've seen this clue in The Independent.

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