Change task bar icon when getting signed out

[yantarou]

Is your feature request related to a problem? Please describe.

I'm getting signed out of my account periodically, but only can notice it by looking at the Teams window. It would be helpful to indicate this status in the task bar icon.

Describe the solution you'd like

When getting signed out, the task bar icon should indicate this, e.g. by showing the red dot icon (or even better a dedicated icon with a red X or so).

Additional context

Screenshot of the current behavior:

OS: Debian 12

Teams version:

$ apt-cache policy teams-for-linux 
teams-for-linux:
  Installed: 1.11.1
  Candidate: 1.11.1
  Version table:
 *** 1.11.1 500
        500 https://repo.teamsforlinux.de/debian stable/main amd64 Packages
        100 /var/lib/dpkg/status