launcher - How to display windows of two different firefox profiles under different dash icons?

I created two distinct .desktop launchers for two different firefox profiles:

• profile1.desktop

  
  
  

  sudo gedit /usr/share/applications/firefox.desktop
  
      [Desktop Entry]
  
      Name=profile1
      Keywords=profile1
      Exec=firefox -P -no-remote profile1
      Terminal=false
      X-MultipleArgs=false
      Type=Application
      Icon=profile1.png
      StartupNotify=true
      StartupWMClass=profile1
  





• profile2.desktop

  
  
  

  sudo gedit /usr/share/applications/firefox_profile2.desktop
  
  [Desktop Entry]
  Name=profile2
  Keywords=profile2
  Exec=firefox -P -no-remote profile2
  Terminal=false
  X-MultipleArgs=false
  
  Type=Application
  Icon=profile2.png
  StartupNotify=true
  StartupWMClass=profile2
  

I then added each desktop launcher to the dashboard (via right-click > add to favorites).
I am able to launch each profile from the respective launcher-icon in the dashboard.
So far so good.

However, when profile2 is launched, its window will be listed/collected under the profile1 (default) firefox dash icon, which can get quite confusing.

I would really like to display and collect windows from different firefox profiles under different dash items (i.e. icons in the dashboard).
I suspect the problem is - since both .dekstop launchers execute different processes of the same /usr/bin/firefox command - that they are automatically collected under some firefox dash icon...

Does anyone have an idea how to resolve this issue?