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/types/aiui-protocol.ts

@@ -6,10 +6,20 @@
  */
 
 /** Data categories that AIUI can request access to */
-export type AIContextCategory = 'apps' | 'system' | 'network' | 'wallet' | 'files'
+export type AIContextCategory =
+  | 'apps'
+  | 'system'
+  | 'network'
+  | 'wallet'
+  | 'files'
+  | 'media'
+  | 'search'
+  | 'ai-local'
+  | 'notes'
+  | 'bitcoin'
 
 /** Actions AIUI can request Archy to perform */
-export type AIActionType = 'install-app' | 'open-app' | 'navigate'
+export type AIActionType = 'install-app' | 'open-app' | 'navigate' | 'launch-app' | 'search-web'
 
 // ─── AIUI → Archy (Requests) ───────────────────────────────────────────────