No it doesn't.
Tailscale's shell script is entirely optional and installs a distro/package manager specific package. It also doesn't mess with your PATH variable.
They maintain packages for most popular distros as you can see here https://pkgs.tailscale.com/stable/.
The sibling comments are just spreading misinformation because those people were too lazy to actually look anything up.
No it doesn't.
Tailscale's shell script is entirely optional and installs a distro/package manager specific package. It also doesn't mess with your PATH variable.
They maintain packages for most popular distros as you can see here https://pkgs.tailscale.com/stable/.
The sibling comments are just spreading misinformation because those people were too lazy to actually look anything up.