NL here. One of the libraries in my city has a café on the ground floor, as well as space for more noisy activity or higher traffic volume, like music practices or a polling station. While for calm you do need to go up the stairs, the function of the third place does exist in there.

Such a construction, as far as I can tell, is pretty uncommon among libraries in the country though, the cultural sector has been criminally underfunded and disrespected for quite a while. This was a happenstance thing where several local cultural organisations teamed up to make this happen.