Harking back to Asimov, and thinking about the way Spacers changed, as they became more and more reliant on robots, it could very well mother us to extinction.
We (you and me) will go extinct someday. Our bodies were always destined toward this terminus... Perhaps by some miraculous tech, we can someday change form and shed the flesh and bone. Maybe then we'll have a better idea of what we are.
--Nick Bostrom, Superintelligence: Paths, Dangers, Strategies
It's not a given that anything of value will survive.
I'd imagine that an intelligent life form surviving until the very end of the universe would be suffering a long and lonely death. As the heat death of the universe happens, over billions of years, there would be very little of anything left but isolation - for a very, very long time.
I'd hate to be the last one standing without enough usable energy left to even extinguish your own life force. I don't find that appealing, not even a little.
Or, if that doesn't pan out, what if your goal is to be the last one standing for the chance to see if something else happens next? New big bang? Simulation ends and you get loaded into the next as your prize? You won't know unless you try to find out!
It's going to be cold and lonely when the lights go out. This is the price we pay for an ever expanding universe.
I do admire your optimism, however.
Okay. It's not fine, but it is the best we're at all likely to get.
It does us no good to avoid causing our own extinction if it's then caused by something else.