The early versions of this made messy assumptions about what you wanted, so pay attention to the time entry windows and make sure they say exactly what you want.
While Audacity does have Analyze > Silence Finder and Analyze > Sound Finder, they’re sometimes more trouble than they’re worth. Phonograph records, for one messy example, have no silence, even between the songs.
You have a particular application because your show goes to zero, flat-line during the outages, right? That might be OK. Are you sure the streaming server waits for you? Some servers don’t.