There are some caveats though. You are immortal but what this actually means is that you are unable to do anything that would probabilistically lead to your death.
So, for example, if you were more probable to die getting into a car than walking, you would choose to walk. But only if choosing to walk was more probable than the probability of you surviving after getting into a car.
It’s kind of confusing, but essentially You have no choice if something is about to kill you, but if you plan far enough ahead, the probability of you choosing to do or not to do something versus the probability of your survivability can potentially win out.
So given this version of immortality, what would you plan to do to benefit yourself in some way?
I’ve already thought about potentially hooking up some kind of lottery Number machine to a guillotine in order to win the lottery but it turns out that the probability of you not making this machine is more likely than making the machine and surviving so you just never end up making the machine.
In order to get an idea of where I’m coming from, here’s a video that explains a bit aboabout quantum immortality. https://www.youtube.com/watch?v=QTZZUjnrbF8
Taking your idea a bit further you could Schrödingers cat yourself, buy a bunch of lottery tickets and set up a radioisotope decay triggered death machine with the escape being you select a winning lottery ticket. In theory this means you’re getting out of the box with a winning ticket.
You could also do the same with basically anything you want to happen, go into the box with the escape condition of “the world becomes a better place” probably need some more defined variables but maybe not.