Piece of an edible "rack" (3)

I believe the answer is:

rib

(Other definitions for rib that I've seen before include "Bone; umbrella rod" , "A chest-bone, may be floating" , "One of the 12 pairs of curved arches of bone" , "spare one?" , "Curved bone joined to the spine" .)

I've seen this clue in The New York Times.

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