Are you using the Time Capsule as your router? If so, then your Sonos system will work properly. One Sonos component must be hard-wired to your home network. If you can hard-wire the Playbar to your network you won't need the bridge.
Paradigm Studio 100 v.5's - Front
Paradigm Studio CC690 v.5 - Center
Paradigm Studio 20 v.5's - Surrounds
Anthem A2 (driving the fronts)