[8.11](backport #3759) Migrate check-ci step to buildkite

[mergify]

This is an automatic backport of pull request #3759 done by Mergify.
Cherry-pick of 08c5150 has failed:

On branch mergify/bp/8.11/pr-3759
Your branch is up to date with 'origin/8.11'.

You are currently cherry-picking commit 08c5150103.
  (fix conflicts and run "git cherry-pick --continue")
  (use "git cherry-pick --skip" to skip this patch)
  (use "git cherry-pick --abort" to cancel the cherry-pick operation)

Changes to be committed:
	new file:   .buildkite/scripts/steps/check-ci.sh

Unmerged paths:
  (use "git add <file>..." to mark resolution)
	both modified:   .buildkite/pipeline.yml

To fix up this pull request, you can check it out locally. See documentation: https://docs.github.com/en/github/collaborating-with-pull-requests/reviewing-changes-in-pull-requests/checking-out-pull-requests-locally

---

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• @Mergifyio rebase will rebase this PR on its base branch
• @Mergifyio update will merge the base branch into this PR
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Finally, you can contact us on https://mergify.com

[elasticmachine]

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• Start Time: 2023-11-21T15:55:31.909+0000

• Duration: 61 min 12 sec

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[elastic-sonarqube]

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