Clean up gateway status conditionals and logging bootstrap mode detection.

Simplify nested dashboard gateway status branches for readability and use a concise first-subcommand check when selecting early GUI logging mode.

apps/desktop/src/app/shell/gateway-menu-panel.tsx

@@ -40,14 +40,19 @@ export function GatewayMenuPanel({
   statusSnapshot
 }: GatewayMenuPanelProps) {
   const gatewayOpen = gatewayState === 'open'
+  const gatewayConnecting = gatewayState === 'connecting'
   const inferenceReady = gatewayOpen && inferenceStatus?.ready === true
-  const connectionLabel = gatewayOpen ? 'Connected' : prettyState(gatewayState || 'offline')
+  const connectionLabel = gatewayOpen
+    ? 'Connected'
+    : gatewayConnecting
+      ? 'Connecting'
+      : prettyState(gatewayState || 'offline')
   const inferenceLabel = gatewayOpen
-    ? inferenceStatus
-      ? inferenceReady
-        ? 'Inference ready'
-        : 'Inference not ready'
-      : 'Checking inference'
+    ? inferenceStatus?.ready
+      ? 'Inference ready'
+      : inferenceStatus
+        ? 'Inference not ready'
+        : 'Checking inference'
     : 'Disconnected'
   const platforms = Object.entries(statusSnapshot?.gateway_platforms || {}).sort(([l], [r]) => l.localeCompare(r))
   const recentLogs = logLines.slice(-5)

apps/desktop/src/app/shell/hooks/use-statusbar-items.tsx

@@ -105,19 +105,21 @@ export function useStatusbarItems({
   }, [desktopActionTasks, previewServerRestartStatus, subagentsBySession, workingSessionIds])
 
   const gatewayOpen = gatewayState === 'open'
+  const gatewayConnecting = gatewayState === 'connecting'
   const inferenceReady = gatewayOpen && inferenceStatus?.ready === true
+  const gatewayDegraded = gatewayOpen || gatewayConnecting
   const gatewayDetail = gatewayOpen
-    ? inferenceStatus
-      ? inferenceReady
-        ? 'ready'
-        : 'needs setup'
-      : 'checking'
-    : gatewayState === 'connecting'
+    ? inferenceStatus?.ready
+      ? 'ready'
+      : inferenceStatus
+        ? 'needs setup'
+        : 'checking'
+    : gatewayConnecting
       ? 'connecting'
       : 'offline'
   const gatewayClassName = inferenceReady
     ? undefined
-    : gatewayOpen || gatewayState === 'connecting'
+    : gatewayDegraded
       ? 'text-amber-600 hover:text-amber-600'
       : 'text-destructive hover:text-destructive'