Barbecue might be best (5)

I believe the answer is:

outdo

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'be best' is the definition.
(I've seen this before)

I don't understand how the remainder of the clue works.

(Other definitions for outdo that I've seen before include "Eclipse" , "Exceed" , "Surpass, go one better than" , "Defeat" , "Perform better than surpass" .)

I've seen this clue in The Globe and Mail.

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