You can not know.Permadeath for me, please. With or without cats or dogs.
As Jim Jefferies said:
"I don't want eternity. It doesn't matter how good it is. It's eternal. You get used to it and then you get bored."
Jim (and you) consider the eternity from the point of view of your miserable earth condition ( ) .
The eternity in the Beyond (if it exists) is certainly completely different.