Mouse stops working

The mouse and sometimes the keyboard becomes unresponsive.   I have tried shutting down the second computer and that does not solve the issues.  Sometimes I can get Task manger open and kill multiplicity.  This get the mouse working again.  It occur when moving between the two computers and then it loses the control to all?  I also tried unplugging the mouse and keyboard.  That does not return control.  Does differing OS levels on the two computer create an issue?  Win 11 - 10