State of wild exaggeration after Texan left (7)

I believe the answer is:

georgia

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'state' is the definition.
(Georgia is an example)

I can't explain the rest of the clue.

(Other definitions for georgia that I've seen before include "Nation state" , "US state -- Black Sea state" , "Southern US state" , "part of US or USSR formerly" , "Country on the Black Sea, where Stalin was born" .)

I've seen this clue in The Guardian.

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