Restructure: move Vite project into app/, deploy build output to repo root

The webserver serves the repo checkout directly as static files, so
index.html at the repo root must be the production build (pointing at
hashed /assets/*.js) rather than the dev template (/src/main.tsx),
which was being served with an unrecognized application/octet-stream
MIME type and blocked by the browser.

- Move src/, public/, scripts/, server/, package.json, vite.config.ts,
  tsconfig.json, .env(.example), and the dev index.html into app/.
- Add app/scripts/deploy.mjs: copies app/dist/* into the repo root
  after every `vite build`, cleaning up stale hashed filenames.
- Wire it into `npm run build` (app/package.json).
- Update run.sh to operate from app/, and .gitignore for the new layout.
- Commit the current build output (index.html, assets/, manifest,
  sw.js, workbox-*.js, favicon.svg, icons/, LICENSE) to the repo root.
- Update README with the new project layout and deployment model.

app/package.json

@@ -0,0 +1,29 @@
+{
+  "name": "hermes-pwa",
+  "private": true,
+  "version": "0.1.0",
+  "type": "module",
+  "description": "A mobile-first PWA client for a self-hosted Hermes Agent (Hermes Web UI bridge API).",
+  "scripts": {
+    "dev": "vite",
+    "build": "tsc -b && vite build && node scripts/deploy.mjs",
+    "preview": "vite preview",
+    "icons": "node scripts/gen-icons.mjs",
+    "serve": "node server/proxy.mjs",
+    "typecheck": "tsc -b --noEmit"
+  },
+  "dependencies": {
+    "react": "^18.3.1",
+    "react-dom": "^18.3.1",
+    "zustand": "^4.5.5"
+  },
+  "devDependencies": {
+    "@types/node": "^22.7.5",
+    "@types/react": "^18.3.11",
+    "@types/react-dom": "^18.3.0",
+    "@vitejs/plugin-react": "^4.3.2",
+    "typescript": "^5.6.2",
+    "vite": "^5.4.8",
+    "vite-plugin-pwa": "^0.20.5"
+  }
+}