Can't reinstall "Tailscale: in use by other user"

Tailscale version: 1.28.0
Your operating system & version: Windows 11 Pro 22622.586

I have a shared computer and I’ve uninstalled tailscale, rebooted and reinstalled, but each time the systray icon says “Tailscale: in use by other user” and “Tailscale in use by {former user}”

I’m using “Installed Apps” then clicking “Uninstall” on Tailscale and rebooting. How can I make it forget about the previous install?