[8.13](backport #39295) Deploy/K8S pipeline post-migration fixes

[mergify]

Proposed commit message

In scope of https://github.com/elastic/ingest-dev/issues/3254 - updated deploy/kubernetes pipeline to match same steps & commands as in Jenkins.
Jenkins vs. Buildkite comparison: https://gist.github.com/oakrizan/2e14c620238034d1e6e4f16b9f0fbdb6
BK builds: https://buildkite.com/elastic/deploy-k8s/builds?branch=elastic%3Amergify%2Fbp%2F8.13%2Fpr-39295

Checklist

• My code follows the style guidelines of this project
• I have commented my code, particularly in hard-to-understand areas
• I have made corresponding changes to the documentation
• I have made corresponding change to the default configuration files
• I have added tests that prove my fix is effective or that my feature works
• I have added an entry in CHANGELOG.next.asciidoc or CHANGELOG-developer.next.asciidoc.

Author's Checklist

• [ ]

How to test this PR locally

Related issues

Use cases

Screenshots

Logs

---

This is an automatic backport of pull request #39295 done by [Mergify](https://mergify.com).

[mergify]

Cherry-pick of 8664cae has failed:

On branch mergify/bp/8.13/pr-39295
Your branch is up to date with 'origin/8.13'.

You are currently cherry-picking commit 8664cae202.
  (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:
	deleted:    .buildkite/deploy/kubernetes/scripts/install-kind.sh
	deleted:    .buildkite/deploy/kubernetes/scripts/install-kubectl.sh
	deleted:    .buildkite/deploy/kubernetes/scripts/make.sh
	modified:   .buildkite/deploy/kubernetes/scripts/setup-k8s-env.sh
	modified:   .buildkite/env-scripts/env.sh
	modified:   .buildkite/env-scripts/util.sh
	modified:   .buildkite/hooks/pre-command
	modified:   .buildkite/hooks/scripts/util.sh
	modified:   .buildkite/scripts/setenv.sh

Unmerged paths:
  (use "git add <file>..." to mark resolution)
	both modified:   .buildkite/deploy/kubernetes/deploy-k8s-pipeline.yml


It took 2.10 seconds to enumerate untracked files. 'status -uno'
may speed it up, but you have to be careful not to forget to add
new files yourself (see 'git help status').

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

[mergify]

This pull request is now in conflicts. Could you fix it? 🙏
To fixup this pull request, you can check out it locally. See documentation: https://help.github.com/articles/checking-out-pull-requests-locally/

git fetch upstream
git checkout -b mergify/bp/8.13/pr-39295 upstream/mergify/bp/8.13/pr-39295
git merge upstream/8.13
git push upstream mergify/bp/8.13/pr-39295

[dliappis]

LGTM