Matter helper
The timers, alerts and date ranges Zoxobit's rules use. In the Home app, tap + then Add Accessory, and scan its code.
Lost it from Home and want to start over? On the helper's computer, zoxobit-server -reset forgets every Matter pairing (fabric).
HomeKit bridge
The devices Home can't reach alone. It pairs on its own, with its own code.
Child bridges and cameras
Home wants each camera as an accessory of its own, and each child bridge (bridges.json) is a bridge of its own, so they're added one at a time, but they all take the bridge's setup code.
Now
Matter helper: Paired: 2 Matter fabrics
HomeKit bridge: Paired
Ring Bridge (child bridge): Paired
Front Door (camera): Paired
Driveway (camera): Paired
Fabric 1: Apple Home
Fabric 2: Apple Keychain, the Home app's companion pairing, usually beside an Apple Home fabric
A fabric is one Matter pairing, not one home. The Home app usually adds two for a single Apple home (Apple Home and Apple Keychain), and a pairing a home no longer uses can remain listed, so the helper can't tell how many Apple homes these are. Nothing here removes a pairing.