A bird that may be eaten hot or cold (3)

I believe the answer is:

pie

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'a bird' is the definition.
(sort of bird)

I can't explain the remainder of the clue.

(Other definitions for pie that I've seen before include "Pastry-covered dish" , "Covered tart" , "welcome luxury" , "Bird - dish - mixed type" , "steak might go in this" .)

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

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