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/package-lock.json

@@ -14,7 +14,8 @@
         "@fullcalendar/timegrid": "^6.1.20",
         "next": "14.2.35",
         "react": "^18",
-        "react-dom": "^18"
+        "react-dom": "^18",
+        "react-swipeable": "^7.0.2"
       },
       "devDependencies": {
         "@types/node": "^20",
@@ -4711,6 +4712,15 @@
       "dev": true,
       "license": "MIT"
     },
+    "node_modules/react-swipeable": {
+      "version": "7.0.2",
+      "resolved": "https://registry.npmjs.org/react-swipeable/-/react-swipeable-7.0.2.tgz",
+      "integrity": "sha512-v1Qx1l+aC2fdxKa9aKJiaU/ZxmJ5o98RMoFwUqAAzVWUcxgfHFXDDruCKXhw6zIYXm6V64JiHgP9f6mlME5l8w==",
+      "license": "MIT",
+      "peerDependencies": {
+        "react": "^16.8.3 || ^17 || ^18 || ^19.0.0 || ^19.0.0-rc"
+      }
+    },
     "node_modules/read-cache": {
       "version": "1.0.0",
       "resolved": "https://registry.npmjs.org/read-cache/-/read-cache-1.0.0.tgz",