SebastianR2, thanks for posting your solution, unfortunately, it did not work for me. I went further and disabled "Allow the computer to turn off this device to save power" all the way up the Device Manager tree in "Device by connection" view - see the screen shot below. I start experiencing the random disconnect issue after upgrading from Win 10 1909 to Win 10 2004. Any other recommendations?
My machine: Surface Laptop 3, Windows 10 Pro, Version 2004 (OS Build 19041.450)
Bluetooth Mouse: Logitech MX Master 3 (driver up-to-date)
Bluetooth Keyboard: NuPhy NUTYPE F1 (driver up-to-date)
Bluetooth Headset: Plantronics Voyager V5200 (driver up-to-date)