Point is all is logitech, bluetooth receiver is not from logitech but still works, but the mouse disconnects and lags a lot. The other two hardware is one new and one old, both work fine without problems. Point is simply, don't buy logitech mx laser 1000, it's horrible!
Also if the 2000 keyboard knows how to avoid other hardware I feel ripped off the bluetooth mouse from 2005 doesn't.
Initially I bought it as replacement mouse but was terribly disappointed finding out it's really bad, even for just desktop work. In the end, over 10 years later I finally own a proper wireless mouse, somehow it scarred me thinking of all bluetooth devices as inferior to non-bluetooth once.