docs: Update integrations section structure

[dishaprakash]

Description

Update integrations section structure to split source, tools and samples under each integration

NOTE: This PR only makes structural changes, the UI will not be accurate to the end product. Please see PR #2790 for complete UI changes

PR Checklist

Thank you for opening a Pull Request! Before submitting your PR, there are a
few things you can do to make sure it goes smoothly:

• Make sure you reviewed
  CONTRIBUTING.md
• Make sure to open an issue as a
  bug/issue
  before writing your code! That way we can discuss the change, evaluate
  designs, and agree on the general idea
• Ensure the tests and linter pass
• Code coverage does not decrease (if any source code was changed)
• Appropriate docs were updated (if necessary)
• Make sure to add ! if this involve a breaking change

🛠️ Fixes #<issue_number_goes_here>

[github-actions]

Link Resolution Note

Local links and directory changes work differently on GitHub than on the docsite. You must ensure fixes pass the GitHub check and also work with hugo server.
See Link Checking and Fixing with Lychee for more details.

Summary

Status	Count
🔍 Total	1054
✅ Successful	777
⏳ Timeouts	0
👻 Excluded	57
❓ Unknown	0
🚫 Errors	77
⛔ Unsupported	0

Errors per input

Errors in DEVELOPER.md

• [ERROR] https://play.dgraph.io/ | Network error: Connection failed. Check network connectivity and firewall settings (error sending request for url (https://play.dgraph.io/)): Connection failed. Check network connectivity and firewall settings

Errors in docs/en/documentation/connect-to/ides/bigquery_mcp.md

Errors in docs/en/documentation/connect-to/ides/cloud_sql_mssql_mcp.md

Errors in docs/en/documentation/connect-to/ides/cloud_sql_pg_mcp.md

Errors in docs/en/documentation/connect-to/ides/firestore_mcp.md

Errors in docs/en/documentation/connect-to/ides/looker_mcp.md

Errors in docs/en/documentation/connect-to/ides/postgres_mcp.md

Errors in docs/en/documentation/connect-to/mcp-client/_index.md

• [404] https://docs.windsurf.com/windsurf/mcp | Rejected status code: 404 Not Found (configurable with "accept" option)

Errors in docs/en/documentation/connect-to/toolbox-sdks/javascript-sdk/core/index.md

• [404] https://langchain-ai.github.io/langgraphjs/reference/functions/langgraph_prebuilt.createReactAgent.html | Rejected status code: 404 Not Found (configurable with "accept" option)

Errors in docs/en/documentation/deploy-to/kubernetes/_index.md

Errors in docs/en/documentation/getting-started/_index.md

• [ERROR] file:///home/runner/work/genai-toolbox/genai-toolbox/docs/en/integrations/postgres/postgres-execute-sql.md | Cannot find file: File not found. Check if file exists and path is correct
• [ERROR] file:///home/runner/work/genai-toolbox/genai-toolbox/docs/en/integrations/postgres/postgres-sql.md | Cannot find file: File not found. Check if file exists and path is correct

Errors in docs/en/documentation/monitoring/telemetry/index.md

Errors in docs/en/integrations/alloydb-admin/tools/alloydb-create-cluster.md

• [ERROR] https://console.cloud.google.com/apis/library/alloydb.googleapis.com | Error (cached)

Errors in docs/en/integrations/alloydb-admin/tools/alloydb-create-instance.md

• [ERROR] https://console.cloud.google.com/apis/library/alloydb.googleapis.com | Error (cached)

Errors in docs/en/integrations/alloydb-admin/tools/alloydb-create-user.md

• [ERROR] https://console.cloud.google.com/apis/library/alloydb.googleapis.com | Network error: HTTP/2 protocol error. Server may not support HTTP/2 properly (error sending request for url (https://console.cloud.google.com/apis/library/alloydb.googleapis.com)): HTTP/2 protocol error. Server may not support HTTP/2 properly

Errors in docs/en/integrations/alloydb/tools/alloydb-ai-nl.md

Errors in docs/en/integrations/bigquery/samples/local_quickstart.md

Errors in docs/en/integrations/bigquery/tools/bigquery-search-catalog.md

Errors in docs/en/integrations/bigquery/tools/bigquery-sql.md

Errors in docs/en/integrations/bigtable/source.md

Errors in docs/en/integrations/bigtable/tools/bigtable-sql.md

Errors in docs/en/integrations/cloud-sql-admin/tools/cloudsqlcloneinstance.md

Errors in docs/en/integrations/cloud-sql-admin/tools/cloudsqlcreatebackup.md

Errors in docs/en/integrations/cloud-sql-mysql/source.md

Errors in docs/en/integrations/cloudloggingadmin/source.md

Errors in docs/en/integrations/cloudmonitoring/source.md

Errors in docs/en/integrations/dataplex/source.md

Errors in docs/en/integrations/dataplex/tools/dataplex-lookup-entry.md

Errors in docs/en/integrations/dataplex/tools/dataplex-search-aspect-types.md

Errors in docs/en/integrations/dataplex/tools/dataplex-search-entries.md

Errors in docs/en/integrations/firestore/tools/firestore-add-documents.md

Errors in docs/en/integrations/firestore/tools/firestore-update-document.md

Errors in docs/en/integrations/looker/samples/looker_gemini.md

Errors in docs/en/integrations/looker/samples/looker_gemini_oauth/_index.md

Errors in docs/en/integrations/looker/samples/looker_mcp_inspector/_index.md

Errors in docs/en/integrations/looker/source.md

Errors in docs/en/integrations/redis/source.md

Errors in docs/en/integrations/serverless-spark/source.md

Errors in docs/en/integrations/serverless-spark/tools/serverless-spark-get-batch.md

Errors in docs/en/integrations/spanner/tools/spanner-sql.md

Full Github Actions output

[gemini-code-assist]

Warning

Gemini is experiencing higher than usual traffic and was unable to create the summary. Please try again in a few hours by commenting /gemini summary.

[github-actions]

🔎 Preview at https://googleapis.github.io/genai-toolbox/previews/PR-2788/

[averikitsch]

Noting, I have reviewed lightly

[github-actions]

🔎 Preview at https://googleapis.github.io/genai-toolbox/previews/PR-2788/

[github-actions]

🔎 Preview at https://googleapis.github.io/genai-toolbox/previews/PR-2788/

[github-actions]

🔎 Preview at https://googleapis.github.io/genai-toolbox/previews/PR-2788/