The History of the Witch Hat

When did a conical hat with a wide brim become associated with witches? The Hat Historian seems like a perfectly cromulent niche YouTube channel. Since it's October, he addresses the style of pop culture witches. Since you know witches aren't a real thing, and the many people who were executed on suspicion of being witches didn't wear such hats, it mainly comes down to a marker in art and movies to show us which one is a witch. But within that realm, there's a story to be told. Or several stories, actually, since there are various possible origins of the witch hat, which could have crossed over each other along the way.