Crossword Genius

Conceited American in Bordeaux? (4)

Ross

I believe the answer is:

vain

I'm a little stuck... Click here to teach me more about this clue!

'conceited' is the definition.
(synonyms)

'american in bordeaux?' is the wordplay.
I cannot really see how this works, but
'american' could be 'a' (common abbreviation - e.g. in organisation names) and 'a' is found within the answer.
'in' is found in the answer.
A single letter 'v' remains which might be clued in a way I don't understand.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for vain that I've seen before include "Useless; self-regarding" , "Conceited - or a waste of time" , "Empty" , "Conceited, arrogant" , "Conceited, self-important" .)

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