Wow.
There are quite a few answers that have been collected.
So:
My bearing hasn't failed yet! It's just making a lot of noise. When we checked it initially, we were pretty sure it was the LIMA (alternator) bearing. Today, I went to a Bosch service center. They said they were pretty sure the bearing in the tensioner pulley is broken, and they've seen it happen before. We've often thought it was the LIMA, but then it turned out to be the tensioner pulley.
It would be perfectly acceptable to me, as it is significantly cheaper.
To be absolutely sure, I'll take the belt off this weekend and test it.
Thank you for the advice.
Hello.