A socialist party dictator embracing a US native (9)

I believe the answer is:

alabamian

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'us native' is the definition.
The definition and answer can be both people as well as being singular nouns.
Maybe you can see a link between them that I can't see?

'a socialist party dictator embracing a' is the wordplay.
'socialist party' becomes 'lab' (abbreviation for Labour Party).
'dictator' becomes 'amin' (Idi Amin, Ugandan dictator).
'embracing' indicates putting letters inside.
'amin' enclosing 'a' is 'amian'.
'a'+'lab'+'amian'='ALABAMIAN'

Can you help me to learn more?

(Another definition for alabamian that I've seen is " Inhabitant of a particular southern US state".)

I've seen this clue in The Times.

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