keyboard shortcut stops working when display at native resolution

The global keyboard shortcut under the "Window" menu for "move to built-in retina display" not available at native resolution of the internal display. It disappears from the menu as soon as I raise the resolution beyond the default "1728x1117". I have 4 displays total on my 16" MBP M3 Max. I've set 4 "G-keys" on my external keyboard to trigger these shortcuts. When I raise the resolution of the internal display to its full native 3456x2234, the keyboard shortcut disappears from the menu and of course the associated keybinding stops working, the result is the alert sound when I hit that key or manually attempt the actual keyboard shortcut. The other keybindings for the flanking 4k displays still work. I have this laptop and my other screens mounted on Ergotron articulating arms so they're pretty much in my face to take advantage of the extra realestate.

Is there a "defaults write" command I can use to tweak this menu behaviour?