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DaveX comments on Harry Potter and the Methods of Rationality discussion thread, part 5 - Less Wrong
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A copy with knowledge of a Azkaban at a certain time seems forbidden from approaching/entering Azkaban at a prior time. See "Azkaban's future couldn't interact with its past, so she hadn't been able to arrive before the DMLE had gotten the message," in Ch55. The restraint isn't so much when the DMLE gets the message, it's when Azkaban sends the message. It can't send a message that affects its past.
Azkaban might be a good place to try a can of Comed-tea.
You’re right, I had forgotten that passage.
I’m still curious how it actually works. The portal she used could simply refuse to work, but how would you be prevented from simply walking in? An invisible wall you can’t walk through, or just a sequence of increasingly improbable events happen that keep stopping you?
(If Harry’s explanation of how Comed-tea is right, it probably means just that you won’t get the urge to drink it. That “or your money-back” line suggests that you can drink it without a result, presumably if you figured it out. Though the charm might also inhibit your wanting to drink it when nothing will happen; otherwise, there would be a lot of unsatisfied customers who drank it just because it was hot and they were thirsty. If it does, you might not get the idea to test it.)