Concerned with Bishop's domain, Danes Chair Co. broke (12)

I believe the answer is:

archdiocesan

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'concerned with bishop's domain' is the definition.
I can't tell whether this definition defines the answer.

'danes chair co broke' is the wordplay.
'broke' indicates an anagram.
'danes'+'chair'+'co'='daneschairco'
'daneschairco' anagrammed gives 'ARCHDIOCESAN'.

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

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