test: add optimizer mvp samples and smoke test

package-lock.json

@@ -18,6 +18,7 @@
         "zod": "^4.4.3"
       },
       "devDependencies": {
+        "@playwright/test": "^1.61.0",
         "@types/better-sqlite3": "^7.6.13",
         "@types/node": "^25.9.3",
         "@types/react": "^19.2.17",
@@ -1534,6 +1535,22 @@
         "url": "https://github.com/sponsors/Boshen"
       }
     },
+    "node_modules/@playwright/test": {
+      "version": "1.61.0",
+      "resolved": "https://registry.npmmirror.com/@playwright/test/-/test-1.61.0.tgz",
+      "integrity": "sha512-cKA5B6lpFEMyMGjxF54QihfYpB4FkEGH+qZhtArDEG+wezQAJY8Pq6C7T1SjWz+FFzt3TbyoXBQYk/0292TdJA==",
+      "devOptional": true,
+      "license": "Apache-2.0",
+      "dependencies": {
+        "playwright": "1.61.0"
+      },
+      "bin": {
+        "playwright": "cli.js"
+      },
+      "engines": {
+        "node": ">=18"
+      }
+    },
     "node_modules/@rolldown/binding-android-arm64": {
       "version": "1.0.3",
       "resolved": "https://registry.npmmirror.com/@rolldown/binding-android-arm64/-/binding-android-arm64-1.0.3.tgz",
@@ -6620,7 +6637,7 @@
       "version": "1.61.0",
       "resolved": "https://registry.npmmirror.com/playwright/-/playwright-1.61.0.tgz",
       "integrity": "sha512-Z+7BeeqQPRRzklHsVFP4KTGIyMxKUmfeRA4WisM6G3/XW6nwGeX6fX9qYaDa+CiUqpOkb2f6X3nar05R3kSuJQ==",
-      "dev": true,
+      "devOptional": true,
       "license": "Apache-2.0",
       "dependencies": {
         "playwright-core": "1.61.0"
@@ -6639,7 +6656,7 @@
       "version": "1.61.0",
       "resolved": "https://registry.npmmirror.com/playwright-core/-/playwright-core-1.61.0.tgz",
       "integrity": "sha512-caX7TrY3Ml6egyDX0WUcTHDxodl/b51y5wJOdCEA36QviK/s2g081hvmGs8eaE3DWb6NYZQ6BjO/QkNRPenoPA==",
-      "dev": true,
+      "devOptional": true,
       "license": "Apache-2.0",
       "bin": {
         "playwright-core": "cli.js"