The Verdict

My iPod has a dead logic board. It can be fixed, but it's not worth the cost. If I wait a few more weeks I can upgrade to a newer model with more storage, and repairing my old one would cost just under half of what it will cost for replacement.

So bad luck does seem to run in threes, and I've run my course.
In the past few months, I've had to replace my camera, my cellphone, and my iPod. Interestingly, all three were liquid-related injuries, though in the case of the cellphone the bathtub was empty; had it been full I think the phone would have been ok.

Good bye, iPod.