feat: add TimeConverter component and e2e test setup

package.json

@@ -10,7 +10,8 @@
     "preview": "vite preview",
     "test": "vitest run src/__tests__/*",
     "format": "eslint . --fix && prettier --write .",
-    "e2e": "cypress run",
+    "cy:run": "cypress run",
+    "e2e": "start-server-and-test dev http://localhost:5173 cy:run",
     "ci": "npm run format && npm run test && npm run e2e"
   },
   "dependencies": {
@@ -36,6 +37,7 @@
     "typescript": "~6.0.2",
     "typescript-eslint": "^8.61.0",
     "vite": "^8.1.0",
-    "vitest": "^3.2.6"
+    "vitest": "^3.2.6",
+    "start-server-and-test": "^2.0.10"
   }
 }