[RUM-12600] Refine Continuous Benchmarking (#3977)

Author: amortemousque

test/apps/react-heavy-spa/package.json

@@ -8,7 +8,6 @@
     "preview": "vite preview"
   },
   "dependencies": {
-    "@datadog/browser-rum": "^6.23.0",
     "react": "^18.3.1",
     "react-dom": "^18.3.1",
     "react-router-dom": "^6.20.0",