Makes me think about starting a non-profit club at a physical location. Some comfortable chairs etc. Just a quiet place to go read or be in the proximity of others. Perhaps with rules about what’s allowed:
- Members only (guests have to join)
- No disturbing others
- Quiet voices only
- No soliciting
- No electronic devices
Points 1 and 4 (and in some cases, Point 5) are a Private Members' Club: https://en.wikipedia.org/wiki/Private_members%27_club
Points 2 and 3 are the Diogenes Club: https://en.wikipedia.org/wiki/Diogenes_Club
If you squint a little bit, what you are describing is a (public) library.