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galero

n. A large, broad-brimmed, tasseled hat worn by clergypeople.

Wikipedia
Galero

A galero (pl. galeri; L. galerum, pl. galera) in the Catholic Church is a broad-brimmed hat with tasselated strings worn by clergy. Over the centuries the red galero was restricted to use by individual cardinals while such other colors as green and violet were reserved to clergy of other ranks and styles.