test(e2e): wire Playwright to the UI Lab with scenario smoke tests

package.json

@@ -13,7 +13,7 @@
     "clean:app": "cd src-tauri && cargo clean",
     "dev:app": "tauri dev",
     "dev:app:cpu": "tauri dev -- --no-default-features",
-    "dev:ui": "vite --mode ui --host 127.0.0.1 --port 1422 --strictPort --open",
+    "dev:ui": "vite --mode ui --host 127.0.0.1 --port 1422 --strictPort",
     "dev:vite": "vite",
     "dev:web": "cd website && pnpm dev",
     "format": "prettier --write .",
@@ -22,7 +22,8 @@
     "format:rust": "cd src-tauri && cargo fmt",
     "format:rust:check": "cd src-tauri && cargo fmt --check",
     "preview": "vite preview",
-    "tauri": "tauri"
+    "tauri": "tauri",
+    "test:e2e": "playwright test"
   },
   "dependencies": {
     "@tanstack/react-virtual": "^3.13.23",