v0.314.0: a restore puts the setup gate back as it was (R-1057); a test build moves with the floor (R-1053); Prowlarr links itself (R-1058); the box claims Plex by address (R-1060)

MinAgent 0.155.0 (unchanged). Tests red-proved by mutation (A: 10, B: 7, C: 1, C2: 2).

Claude-Session: https://claude.ai/code/session_0159rPz1ZhFKsS53msqPYxtS

controller/internal/appbackup/appdata.go

@@ -87,6 +87,17 @@ type RecoveryInfo struct {
 	// `installed_images`, as `ref@digest` (the plain ref when no digest was recorded). Stamped beside each
 	// data file the backup writes, so the data says which versions wrote it. Nil = unknown, never current.
 	InstalledImages map[string]string
+	// SetupGate (v0.314.0, R-1057) is the app's setup gate AT THIS BACKUP: „closed" (its first setup was not done) or
+	// „open" (and by whom). Nil for an app whose template has no gate. The restore applies it, so a backup made before
+	// the household's first setup never comes back open (`09` §3 decision 253).
+	SetupGate *GateState
+}
+
+// GateState is the setup gate as a backup records it (the unit's app.yaml `setup_gate:`). The same two keys as the
+// live app.yaml's record, so a restore reads either file the same way (stacks.ReadGateAtBackup).
+type GateState struct {
+	State    string `yaml:"state"`
+	OpenedBy string `yaml:"opened_by,omitempty"`
 }
 
 // ParseComposeImages extracts the pinned image references (`image: repo:tag`) from a