Once a suitable site has been located, these probes will generate self-replicating machines which will rapidly construct a habitable settlement and seed it with human and other life synthesized from cells carried by the probe. More probes would be built and sent further into the galaxy. Meanwhile, of course, technology will continue to become increasingly sophisticated, and the process will gather momentum over the millennia. Ultimately life will engulf and control the universe. And life will use its power to prevent the final collapse.
Progress naturally includes computing power.
And, by even the most conservative estimates, the amount of computing power available in 100 billion years will far surpass the number of particles in the Universe. In other words, the computers at the end of time will have the power to reproduce all possible universes down to the quantum level. Which, of course, means they can reproduce everyone and everything that has ever lived. Things get a bit murky at this point. Life will do this because it must.