New deal by assistant in southern capital (8)

I believe the answer is:

adelaide

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'southern capital' is the definition.
'Adelaide' can be an answer for 'capital' (Adelaide is an example). I'm unsure of the 'southern' bit.

'new deal by assistant' is the wordplay.
'new' indicates an anagram.
'by' says to put letters next to each other.
'assistant' becomes 'aide' (aide is a kind of assistant).
'deal' with letters rearranged gives 'adel'.
'adel'+'aide'='ADELAIDE'

'in' acts as a link.

Can you help me to learn more?

(Other definitions for adelaide that I've seen before include "close to Detroit" , "Girl" , "where there was recently a test" , "Commonwealth city" , "town" .)

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

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