I'm pretty sure there ain't nothing you can do about this. Why not? Because evolution built it pretty strongly into our genes. Here's how I see it: if an organism arose which had this "death gene" turned off, it would not adapt to sudden changes in the environment. It might be susceptible to a novel infectious agent which wipes out the whole species. Thus evolution tends to weed out immortal or very long-lived organisms.
Don't forget how natural selection works. It's not single creatures that adapt; it's about whole species. The only way for a species to adapt is for some of its individuals to die and be replaced by their offspring which differ genetically from their parents.
Evolution needs death to work. Hence death is built-in.
Look at this scary graph (with a logarithmic y axis!):
https://en.wikipedia.org/wiki/Gompertz%E2%80%93Makeham_law_o...
and then tell me that medical advances will do anything to make you live to 200. Go on, I dare ya.