Reconcile a bird about a flat (7)

I believe the answer is:

reunite

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'reconcile' is the definition.
(I've seen this in another clue)

'a bird about a flat' is the wordplay.
'a bird' becomes 'ree' (term for a female ruff bird).
'about' indicates putting letters inside.
'a flat' becomes 'unit' (I am not sure about this - if you are sure you should believe this answer much more).
'ree' enclosing 'unit' is 'REUNITE'.

Can you help me to learn more?

(Other definitions for reunite that I've seen before include "Join back together" , "Come together again" , "Bring back together" .)

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

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