SUMMARY
Opening and closing the application menu (or application launcher) in the dock via meta key, will take all focus for the current window, even if the menu is closed, the focus seems still to be on the hidden menu, quick tile is not possible anymore for the currently open window using shortcuts, unless you clicked into the window via mouse to get the focus back. 


STEPS TO REPRODUCE
1.  Add a dock, add application launcher widget OR application menu widget to the dock
2. Setup quick tile shortcuts, e.g. meta + left for left quick tile, meta + above for fullscreen, and so on
3.  Open e.g. a browser (I used vivaldi)
4.  Press meta key to open the launcher
5. Press meta key again to close the launcher
6. try to quick tile the browser window via meta + left (nothing will happen unless you click into the window)

OBSERVED RESULT
Nothing happens unless you click again into the window

EXPECTED RESULT
Closing the menu will take back focus to the last application that have had the latest current focus, which will allow me to quick tile the window using quick tile shortcuts.

SOFTWARE/OS VERSIONS
Linux/KDE Plasma:  EndeavourOS, KDE Plasma 6.0. Beta 1 
(available in About System)
KDE Plasma Version: KDE Plasma 6.0. Beta 1 
KDE Frameworks Version: 5.246.0  
Qt Version:  6.6.1


I am sure this will not only affect quick tile, probably also shortcuts that would work inner the application if the focus is set onclose the menu back to the latest application that have had the focus.