3. Eliminate/Uninstall the Particular Problematic Applications
Some third-party applications that cause Discord screen share no sound. You also get some pop-up message where you know that the Discord screen share not working due to running that third party software.
Then you should go to the control panel and uninstall that third-party software from Program and Features. After that, you should reboot your computer to take some action.
If the Discord screen share unavailable or Discord audio cutting out, then go to the subsequent method.