Food one could bake for a bighead? (5)

I believe the answer is:

kebab

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'food' is the definition.
(kebab is a kind of food)

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

(Other definitions for kebab that I've seen before include "Small pieces of meat and vegetables cooked on skewer" , "Turkish meat dish" , "Fast food" , "Post-pub snack?" , "what one may spit" .)

I've seen this clue in the Evening Standard.

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