Pira CZ can monitor either an audio input or audio output of a PC*: you need the stream to be actively playing via that device. I use VLC to play the stream (so you're playing "network" and not "file" etc) via one sound channel.
If you need to monitor THREE streams, then you'd need each on its own sound device, so in your case, 3 sound devices. (the outputs can be playing to 'nothing', but they do need to be playing)
*Note: if you change the sound device, you may need to restart PiraCZ