As long as wealth inequality continues to exist, so too will immortality fail to exist.
Immortality has no tolerance for stagnant dynasties. Intertwined with mortality and death is one chimp tribe believing they are superior to another, biologically identical chimp tribe simply due to differing starting circumstances or chance (right place, right time, right background, “wow I must be a genius!”).
As long as our economy plays out via genetic and social lottery instead of true merit, rewards the unrewarding, and allows small groups to profit while large groups toil and suffer, immortality will be out of reach.
Might also want to be in space, too, since Earth has limited capacity. May also want to have more reliable energy that can come with us into the depths of space.
What do I know though, just some nobody.