However, I don't get the feeling that we are all "in the same room". Like a home for my team like Slack where you have the feeling that everybody is hanging out and doing stuff together.
Do you know a tool that does this?
The recommendation as written is Here.fm or Gather depending on your vibe. Teamflow was good too so it's really about your energy. Wrote up a list to help you decide. https://tooltip.com/reports/virtual-office-space if you'd like to read the whole report