You have to take into account your genesis. Being self-consistent will usually benefit an agent’s proliferation, so looking at the worlds where you believe you are [Human] you will be weightier where your ancestors remember stuff, and thus you too. It’s the same reason why bosons and fermions dominate our universe.
But suppose our universe is well-abstracting, and this specific dog didn’t set off any butterfly effects. The consequences of its existence were “smoothed out”, such that its existence vs. non-existence never left any major differences in your perceptions.
Unfortunately, this isn’t possible. Iirc, chaos theory emerged when someone studying weather patterns noticed using more bits of precision gave them completely different results than fewer bits. A dog will change the weather dramatically, which will substantially effect your perceptions.
I consider “me” to be a mapping from environments to actions, and weigh others by their KL-divergence from me.