Unfortunately it's currently not possible to redirect a microphone or camera to use within an Awingu session.
Awingu is a browser application with no client agent installed. Technical limitations make it impossible to stream this input to a remote session. Furthermore, audio and video is not really performant over RDP. It will create a lot of unnecessary overhead.
Looking for a more unified workspace and Microsoft Teams integration?
Consider publishing MS Teams as a web application. Check out Microsoft Teams in Awingu for some inspiration.