PM2 cluster deploy + Redis caching + Nginx gzip + UI polish

- PM2 v6: 2x API cluster + 1x web, zero-downtime reload
- Redis cache: 30s TTL on GET /tasks, X-Cache header
- Nginx gzip compression
- Mobile touch targets 44px
- Czech diacritics throughout UI
- TaskModal slide-up animation
- StatusBadge color dots
- GroupSelector emoji icons

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

apps/tasks/app/layout.tsx

@@ -3,6 +3,7 @@ import "./globals.css";
 import ThemeProvider from "@/components/ThemeProvider";
 import AuthProvider from "@/components/AuthProvider";
 import Header from "@/components/Header";
+import BottomNav from "@/components/BottomNav";
 
 export const metadata: Metadata = {
   title: "Task Team",
@@ -37,9 +38,10 @@ export default function RootLayout({
         <ThemeProvider>
           <AuthProvider>
             <Header />
-            <main className="max-w-4xl mx-auto py-4">
+            <main className="w-full max-w-4xl mx-auto py-4 sm:px-4">
               {children}
             </main>
+            <BottomNav />
           </AuthProvider>
         </ThemeProvider>
       </body>