Refuse to agree to project (5,3)

I believe the answer is:

stand out

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'to project' is the definition.
(I've seen this before)

I don't understand the rest of the clue.

(Other definitions for stand out that I've seen before include "Be conspicuous, or persist in demands" , "Be highly noticeable" , "Be particularly noticeable" , "Be conspicuous, or persist in demand" , "Be prominent or superior" .)

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

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