OP, you need to read the link again carefully.
"That said, I see no reason why a priest cannot bless your dog’s ashes with holy water. I once knew a priest who did just that with the remains of a deceased pet. As for burial in a Catholic cemetery though, it is illegal in many municipalities for animal remains to be buried in human cemeteries. You would have to check local laws in your area. If it is legal in your area, the Church has no objection to placing an urn of animal remains in a casket with human remains.
It says a priest can bless the dog’s ashes. It then goes on to say that if it is legal in your area, that the urn can be placed in a casket with human remains.
It does not say it is okay to bury the remains in a Catholic cemetery.