If you use Linux, I’d recommend using teams-for-linux. It’s the web client, but in its own little box.

If you really want to be anonymous, you can probably run this app over Tor with the command torify flatpak run com.github.IsmaelMartinez.teams_for_linux or torsocks flatpak run com.github.IsmaelMartinez.teams_for_linux; but occasionally this causes problems. It’s also not great for calls.