I think assumption 4 is in error.
>There exists a message in the encoding that can extend one's life.
If quantum immortality holds then there is no message which will extend your life because you're already immortal.
>There exists a message in the encoding that can extend one's life.
If quantum immortality holds then there is no message which will extend your life because you're already immortal.
If quantum immortality holds and the experiment is run 8 times, you should see the sequence 00000000 right? This is a message too, because it deviates from expectation to shovel you down a reality you can experience. Sort of like Zipf's law where the less likely the result the more information it contains https://en.wikipedia.org/wiki/Zipf%27s_law#Applications