So now I have two separate windows behaving independently on top of the Awasu shell.
Hey! This is a feature!
Grab the title bar of the Control Center and drag the window - you will see a grey window border as you move it around. As you approach the left or right side of the main window, this border will suddenly snap to fill the entire side of the window. Let go of the mouse button and things will be as they were.
I actually have mine on the right side of the main window. It took a while to get used to but it's actually much better since it puts the channel windows on the left which is where you spend most of your time looking. You can do this same thing with the other system windows, toolbars, even the main menu! Note that not all windows will dock everywhere e.g. the Control Center will only dock on the left or right, the Workpad only the top or bottom.
I think we developers are so used to living in Visual Studio (Microsoft's development environment) that we forget that some people have never seen docking windows before