I have the mozilla stable version installed using the mozilla binary method, and snap for the beta channel. The icon is broken, both in the menu entry and in the panel. That is, there is no icon in menu, and the generic cog icon in the panel.
This is on 22.04 But I have the same problem in 23.10 and in a VM 22.04. That is, I can reproduce this every time.
snap remove firefox
to uninstall, but this file
So I remove it manually, and reinstall.
The desktop file for this is now:
It is called Firefox Web Browser in the gnome launcher, and it has an icon. But after launching, it still uses the generic cog icon in the panel. The context menu from this icon has no actions, except to Quit. If I create a second window, both are associated with this icon, which is good.
In the Gnome launcher, if you search for an app and if that app is running, the Gnome launcher indicates it with a dot. However, while this works for the mozilla binary, the icon of Firefox Web Browser does not show a dot, even though I have two windows from it open.
From chatgpt help, I see this:
Addthis this line to the .destkop file, near the top, fixed it: