Fez or fedora (3)

I believe the answer is:

hat

This clue is a double definition.

'fez' is the first definition.
(thesaurus)

'fedora' is the second definition.
(I've seen this in another clue)

(Other definitions for hat that I've seen before include "opera?" , "One to cover head" , "Eg, bowler" , "Eg, derby" , "Cloche or fez?" .)

I've seen this clue in the LA Times, The Washington Post, the Universal, the USA Today, the Newsday.com and the L.A. Times Daily.

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