#8: Mess Around
After you realize you're stuck in a time loop, you should conduct some quick experiments to see how far it extends. See what happens if you don't get in to that elevator, or if you get in backwards and naked.
Double and triple check that you're stuck in a time loop before attempting such tests.The point behind these experiments is to test the limits of the time loop, and see if there are any rules which might be taken advantage of. You may even get lucky and stumble on a way out during your experiments -- maybe the time loop doesn't want anything to do with you if you're the kind of person who would do such things to an animal.
#7: Be a King
Assuming that your time loop lasts long enough, you should be able to use your knowledge of the upcoming events to set yourself up nicely, at least within that current iteration. Win lotteries, buy stocks on margin or dominate your local underground horse fighting gambling den. With your new-found winnings, see if it's possible to buy your way out of the time loop -- rich people are always getting away with shit like that. At worst, you'll be able to suffer through your Sisyphean ordeal in nice clothes.
"You know something? I think causality is just jealous of us."