Paganist
maybe Wiccan
Neopagan
IDK

A pantheist.

A Free Thinker.
Pantheistic Reincarnationist?
Closest i can come tbh.

Confused?

A Pantheist Reincarnationist -just keep it simple

A frog.
or a parrot, or a cow, or a rhino, or a .......... etc

Exactly that, a Pantheist who believes in reincarnation.

I don't think there's a specific name for that. Generally I think a pantheist would believe in more of a recycling of life than reincarnation. Im sure that's a bad name for it, but I mean when a person dies, his body rots, and becomes broken down into food for the dirt, bugs, etc, which makes all the molecules of his body start a new life in new creatures. But if you believe your soul is reborn into a new body, then you can believe that.
Heck, so many ppl don't know what a pantheist is anyway, you can tell them anything you want! lol

a Liberal.... 😉
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Ehhem first of all I don't think you guys even know what pantheism is... Pantheism is the believe that the universe is most highest and deserves to be reverence... And personally you can believe in a soul or not doesn't mater in fact pantheist believe in union that we are the universe and that we are indestructible like it... Some even believe material is a illusion but still they are pantheist!