I am trying to run tailscale on a windows 10 PC in a multi user environment. However with every user switch the computer gets disconnected from the VPN. Is there any way to run tailscale as a system service? So that the PC stays on my VPN independent of the actual user logged in?
You can do it as a workarround.
Create a schedulled task wth the user you loggid into Tailscale. Instead of create a task daily, schedule it whe the systems start it run like a service.