I am looking to move my icons around in a certain order and not show certain applications. Think Windows 10/11 menu design. Here is the menu option I picked and love: (I did make it left-centered, personal choice)
I use the Lite desktop, not the Gnome Desktop, so I would be of little help.
If you Right Click the panel, you should be able to pull up a dialog window for panel preferences. You can use arrow buttons to reposition icons on the panel. And you can remove or add some, I think.
I am not sure... while testing Zorin OS 16, I tried using that Gnome Extension that gives Zorin Panel the preferences dialog and got all tangled up and tied in knots.
I had to call on @swarfendor437 to help get me untangled.