If it's worth saying, but not worth its own post (even in Discussion), then it goes here.
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This suggests buying tickets takes finite time per ticket, and that the offer is perpetually open. It seems like you could get a solid win out of this by living your life, buying one ticket every time you start running out of life. You keep as much of your probability mass alive as possible for as long as possible, and your probability of being alive at any given time after the end of the first "lifetime" is greater than it would've been if you hadn't bought tickets. Yeah, Omega has to follow you around while you go about your business, but that's no more obnoxious than saying you have to stand next to Omega wasting decades on mashing the ticket-buying button.
Ok change it so the ticket booth closes if you leave.