My neighbour’s old cat was called Belerophon Catfeatures the Second (there was no Belerophon Catfeatures the First, they just thought it gave him more gravitas). So call it whatever you want I reckon.
Ex’s cats (she turned into a cat lady) are Ffffffish, Fatty, Pongo and Flat Eric. Pongo was the dog’s name but every time they called him, he ignored it and the cat came running so a name exchange was arranged and now the dog is called Axl Rose.