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 Universal, the Newsday.com, The Washington Post, the USA Today, the L.A. Times Daily, the LA Times and The Wall Street Journal.

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