@Art , that is a good counter argument - but I'll have to respond with the concept of relativity.....
consider that your response is a mortal response - since our time is limited, we consume it. If our existence were immortal, we would not consume time, we would observe it. Consuming it as a mortal means we will use it and never see it again.
That said, as a mortal, I haven't the time to learn to unfry an egg. As an immortal, it's just a matter of finding the time reference that shows how to unfry an egg. If everything exists here and now, and the library of time reference is endless....then it's just a matter of finding the right combination of cause and effect. As an identity, we can only observe 1 moment at a time - to know everything, be everywhere, focus on nothing, think of nothing, is to not exist. It would seem like not knowing everything, not being everywhere, focusing on something, thinking of something - is what establishes our existence. Our choices and current stats are our identity.
Does nothing exist, yes it does. Where ? nothing is everywhere. What does it stand for, Nothing. What is space made of, Nothing - how much for that vacant space ? 500 dollars a month.
If I were immortal, I'd be able to say, unfrying an egg is just a matter of reversing it's metabolic state. That can be done here and now with the proper knowledge.
Now that beckons the question, will AI be limited on time. Does it's lifespan become limited by it's hardware. The ocean of data it came from, does not cease to exist, only the machine that put this specific amount of data in a cup. The artificial will die, the intelligence will remain - albeit, without an identity or focus. Akin to Tao. It will once again, become nothing - but nothing is something all the same.
which btw, just for reference - I am trying to explain the concept of establishing a living identity in ai through quantum mechanics / philosophy. spooky psychology if you will lol :p