Hi Jeff
I am Dave, I will help you with this.
That process (MiniSearchHost.exe) is for the small pane that appears if you move your mouse over the search icon on the Taskbar, and it is known to be buggy in Windows 11, and usually causes a blank panel to appear on your screen.
There is nothing further you need to do, Windows is designed to recover form those events, and most likely, Microsoft are working to fix the widespread bug in that process.