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[The Addams Family] Were the Addams Family inherently supernatural?

In the movies they're surrounded by mystical/magical items, but were they supernatural or else something not quite human?
gpt
They are all human, with the exception of Thing and cousin Itt. Gomez Addams is an oddly jolly man, at heart a romantic. Morticia Addams is the real head of the family, she likely does have some magical ability and is described as a witch. Wednesday Addams is a depressive sociopath, she raises spiders and is prone to tantrums. These are not overt tantrums, but she will disappear if you anger her and..make it clear she is displeased. Pugsley Addams has a jolly way about him, as much as one can describe it as such, somewhat like his father but is less romantic. He is a genius at the building of contraptions, guillotines, and the making of poisons. Uncle Fester is simply insane, if not for the families wealth he would be in a madhouse. Lurch is a loyal and faithful servant, he has a sixth sense for threats to the family and is Wednesday's best friend besides her Marie Antoinette doll. Cousin Itt is an unknown type of supernatural creature, he is a cousin through Gomez. 

Thing was a human once, he is related to the family in an unknown way. One only saw his hand because his body was too horrible to be shown. At some point something unkown happened to him and his hand was disembodied and kept alive through magic, presumably through Morticia, but perhaps grandmama. Grandmama Addams is also a witch, she has a particular talent with spells and potions, fortune telling, and knife throwing. The family has a great deal of money, it is ancient wealth, its origin may or may not be known to Gomez and Morticia. That fortune is ostensibly controlled by Gomez, though he can deny Morticia nothing. The entire family is unaware of how strange they are or the fact people find them frightening, with the exception of uncle Fester in his brief moments of clarity, and Wednesday, who sees far more than the others.