A cat and a dog live like a cat and a dog, if the circumstances force them to do so.
We have plenty of examples where the relationship between pets is built on a completely different basis, not competition or enmity, but something more, like respect.
Either the age difference is great, or the dog is too tired, but he does not want to wake up. The cat changes tactics.
And still nothing comes out! Well, thinks the cat, he didn’t want to play so much. The main thing is to be near a friend!
The cat never crossed the line beyond which real terror begins, nor did he disturb his friend. Just politely tried to get his way, and then changed the rules of the game and won!