Kid making duke one American-style dish (5)

I believe the answer is:

chili

'dish' is the definition.
(chili is a kind of dish)

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

(Other definitions for chili that I've seen before include "Spicy pepper" , "African wind" , "Hot pepper (US spelling)" , "Hot pod (US spelling)" .)

I've seen this clue in The Independent.

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