Since I don't spend all my time inside avoiding every risk hoping for someone to find the cure to aging, I probably value a infinite life a large but finite amount times more than a year of life. This means that I must discount in such a way that after a finite number of button press Omega would need to grant me an infinite life span.

So I preform some Fermi calculations to obtain an upper bound on the number of button presses I need to obtain Immortality, press the button that often, then leave.