This hat. It says REBUILD AMERICA. And it is from 2016. And Pence is a wee bit too big on it. (think on that if my theory is correct)
That was NOT the slogan/logo from 2016. However, "Build back better" is Bidens slogan. Can anyone (whom I would trust) verify that this is or is not a genuine Trump authorized hat? Working theory is this style of hat was used by provocateurs to identify each other easily.

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"Rebuild America" was Mike Bloomberg's 2020 presidential campaign motto. The color choices in the hat are similar to other colors in Mike's Campaign materials:


Here is a banner with that very slogan and the webaddress. The year 2016 has been changed to 2020 with tape.

If anybody was willing to go on a rampage because somebody didn't buy their hat from an official Trump outlet, something is very wrong.
I dont know if hat was real but wearing backwards was one of the things Antifa told their people to do to distinguish themselves from actual MAGA people