Replaced a ceiling mounted one that made the plasterboard vibrate with an inline fan. The inline fan is up in the attic and ducts through the roof. The new fan extracts 3x as much air and is much quieter.
Still need to make good the ceiling, but that’s tomorrow*'s job.
*Tomorrow in this case may not actually be tomorrow.
and to dampen the acoustics
Only if designed to. Acoustic materials are very specific. Most of this cheap junk applied is just plastered textures barely different than the gypsum wallboard they’re applied to.
But I want maximum acoustics in my bathroom. The world needs to know.