[8.14] Update tip for finding TH integrations (backport #5338)

[mergify]

Re-applies changes in #5297 and ports them to Serverless, 8.14, and 8.13.
Note: Added the sdh-linked label since this PR applies feedback from an external user.

Previews:

• ESS docs
• Serverless docs

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  This is an automatic backport of pull request Update tip for finding TH integrations  #5338 done by Mergify.

[github-actions]

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[nastasha-solomon]

Got this error message from the PR buildkite logs:

INFO:build_docs:---err---
--
  | INFO:build_docs:Failed to add the ECDSA host key for IP address '140.82.112.3' to the list of known hosts (/tmp/.ssh/known_hosts).
  | INFO:build_docs:To github.com:elastic/built-docs
  | INFO:build_docs: ! [rejected]                    security-docs_bk_5349 -> security-docs_bk_5349 (fetch first)
  | INFO:build_docs:error: failed to push some refs to '[email protected]:elastic/built-docs'
  | INFO:build_docs:hint: Updates were rejected because the remote contains work that you do
  | INFO:build_docs:hint: not have locally. This is usually caused by another repository pushing
  | INFO:build_docs:hint: to the same ref. You may want to first integrate the remote changes
  | INFO:build_docs:hint: (e.g., 'git pull ...') before pushing again.
  | INFO:build_docs:hint: See the 'Note about fast-forwards' in 'git push --help' for details.
  | INFO:build_docs:
  | INFO:build_docs:---------

Not sure what the conflict is here, so I'm checking out the branch to investigate.

[nastasha-solomon]

success!