Bump @tanstack/react-query in /src/Elastic.Documentation.Site (#2034)

Bumps [@tanstack/react-query](https://github.com/TanStack/query/tree/HEAD/packages/react-query) from 5.87.4 to 5.90.2.
- [Release notes](https://github.com/TanStack/query/releases)
- [Commits](https://github.com/TanStack/query/commits/v5.90.2/packages/react-query)

---
updated-dependencies:
- dependency-name: "@tanstack/react-query"
  dependency-version: 5.90.2
  dependency-type: direct:production
  update-type: version-update:semver-minor
...

Signed-off-by: dependabot[bot] <[email protected]>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>

Author: dependabot[bot]

src/Elastic.Documentation.Site/package-lock.json

@@ -86,7 +86,7 @@
     "@emotion/react": "11.14.0",
     "@microsoft/fetch-event-source": "2.0.1",
     "@r2wc/react-to-web-component": "2.1.0",
-    "@tanstack/react-query": "^5.87.4",
+    "@tanstack/react-query": "^5.90.2",
     "@uidotdev/usehooks": "2.4.1",
     "dompurify": "3.2.7",
     "highlight.js": "11.11.1",