But I don't want to give up.

You aren't giving up.

Dying and death are part of life.  No, really, they are.  Our bodies are amazing, but they wear out, things stop working, things breakdown.

You are not giving up.  You are allowing yourself to transition to the next step.  You don't remember being born, you don't remember taking your first roll or your first steps.  You may remember puberty, procreation, giving birth (or not).  All of these things are transitions your body is going though, natural processes.  So is dying.  So is death.