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The Mascot Head is a unique hat that can be worn with face apparel. It has a hole in the side of it too, allowing you to still see your character's lovely face.
Found east of Diamond City, in D.B. Technical High School. The high school is also west of Hesters Consumer Robotics and it's south of Medical Center Metro. Go down to the basement of the school and find Bosco, who is wearing the head.