I love an issue like this. I open a thing up and there's one component staring at me with a "Yup. It was me. I don't care and I'll do it again!", aspect about it.
Managed to remove the very obviously broken LED and just bridged the pads. Should probably be good for a while. It lights up again for now, at least.
(Replacing the LED with a new one would of course have been the proper way to fix it.)