You can control the mute in software using the Arduino USB keyboard library, then just send the appropriate key combination when the button is pressed:
For MS Teams, you send Ctrl+Shift+M (Cmd+Shift+M for Mac) For Google Meet you send Ctrl+D (Cmd+D for Mac) For Zoom, you send Alt+A (Cmd+Shift+A for Mac)
Note that unlike Telephony devices, which can return the status of the mute on the computer, there is no way to tell if the software itself is muted.