feat: complete AIUI integration — all 31 overnight tasks

- Protocol: 10 context categories (apps, system, network, bitcoin, media, files, notes, search, ai-local, wallet)
- ContextBroker: real data wiring for all categories with sanitization
- Permissions: user toggles for all categories in Settings
- Nginx: Claude API, OpenRouter, SearXNG proxy pass-through
- Actions: launch-app, search-web, install-app handlers
- Chat.vue: loading state + connection indicator
- Integration test page: test-aiui.html

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

neode-ui/src/components/OnlineStatusPill.vue

@@ -2,15 +2,15 @@
   <button
     type="button"
     data-controller-ignore
-    class="flex items-center gap-1.5 px-3 py-2 rounded-lg text-white/80 hover:bg-white/10 hover:text-white transition-colors"
+    class="w-full flex items-center gap-2 text-white/80 hover:text-white transition-colors"
     title="Open CLI (⌘C / Ctrl+C)"
     @click="openCLI"
   >
-    <div class="relative">
+    <div class="relative shrink-0">
       <div class="w-2 h-2 rounded-full bg-green-400"></div>
       <div class="absolute inset-0 w-2 h-2 rounded-full bg-green-400 animate-ping opacity-50"></div>
     </div>
-    <span class="text-xs">Online</span>
+    <span class="text-xs font-medium">Online</span>
   </button>
 </template>