[jorvi]

Fungi and animals actually have a common ancestor, protista. It's not exactly my area of expertise, but I believe that the way a fungus grows its tendrils and communicates over it is much like our nervous system. Here[0] is a fancy graphic that succinctly displays how the kingdoms of life are categorized.

[0]https://biologydictionary.net/wp-content/uploads/2018/06/Tre...

[orthoxerox]

Protista is a paraphyletic group of single-celled eukariotes. However, animals and fungi are each other's closest multi-cellular living relatives. Animals are closer to other holozoa, and fungi are closer to other holomycota, but both are equally distant from, for example, Amoebozoa, which includes many other protists.