fix: PWA improvements — clean up SW, fix chin bar, add shortcuts, improve mobile support

- Remove dead precache manifest from SW (no fetch handler to consume it)
- Set empty globPatterns in vite-plugin-pwa config
- Fix bottom chin bar padding: use scaled safe-area token instead of raw inset
- Add 'New Session' PWA shortcut (client + server manifest)
- Add PWA meta tags to mobile.html (manifest, Apple icons, theme-color)
- Fix static site.webmanifest: add id/scope, correct description
- Remove duplicate apple-mobile-web-app-title from index.html
- Move SW registration to module scope (earlier, no window.load delay)
- Update manifest route tests for new shortcut order

packages/web/index.html

@@ -192,6 +192,13 @@
 
       const buildShortcuts = (recentSessions) => {
         const shortcuts = [
+          {
+            name: 'New Session',
+            short_name: 'New',
+            description: 'Start a new coding session',
+            url: `${baseUrl}/`,
+            icons: [{ src: `${baseUrl}/pwa-192.png`, sizes: '192x192', type: 'image/png' }],
+          },
           {
             name: 'Appearance Settings',
             short_name: 'Settings',
@@ -427,7 +434,6 @@
     <title>OpenChamber - AI Coding Assistant</title>
     <meta name="description" content="Web interface companion for OpenCode AI coding agent" />
     <meta name="application-name" content="OpenChamber" />
-    <meta name="apple-mobile-web-app-title" content="OpenChamber" />
 
     <!-- Inline CSS for loading screen and Nerd Fonts (before Tailwind loads) -->
     <style>