Don’t imagine I’m saying this will happen, but at least imagine the possibilities:
1) People figure out how to capture an entire existing human (memories, motivations, and personality) from a living human.
2) People figure out how to make self replicating machines.
3) People figure out how to accelerate a small package to a significant percentage of light speed (antimatter fuel or laser driven light sails maybe).
In that case red dwarf systems or type G stars like the Centauri system, even without planets in the habitable zone, might be perfectly good targets for space based ‘human’ exploitation.
Humans can’t even make a proper vaccine when a new virus shows up, such as covid. But in 10,000 more years no one knows where human science knowledge will be. We are not even close. Lets cure cancer first. Much more devastating disease affecting millions every year.