Bad news first:
Zari has a ruptured eardrum. Well, technically the doctor couldn't see the eardrum because her ear was so full of discharge. But she said that based on how much gunk there was, it had most likely ruptured. She prescribed antibiotic eardrops, which I am okay with using. She initially suggested oral abx, because there aren't many drops approved for infants under 6 months, but I told her I didn't want to do that unless it was very very serious. So I am hoping that the drops work to clear up the infection.
Good news: Zari weighs 13 lbs 6 oz. It's right about what I had guessed based on our very cheap bathroom scale.