Managing sound and video settings during Teams meetings and calls for optimal communication
Yes, this works but as you said that you have to keep doing this every time you mute in Teams. This workaround is great if you are not going to mute/unmute frequently in a meeting or presentation. I have been using the web version of Teams to avoid all the hassles in the situation when I have to go on mute/unmute frequently.
In other meetings apps like Zoom, Goto Meeting, or Google Meet, I do not have any problem with the loud beep during the mute period. I think part of it is because these apps are web-based.