[backport 2.x] Revert "build no-jdk distributions as part of release build (#4902)"

[rursprung]

Description

This reverts commit 8c9ca4e.

It seems that this wasn't entirely the correct way and is currently blocking us from removing the build.sh from the opensearch-build repository (i.e. this build.sh here is not yet being used). See the discussion in opensearch-project/opensearch-build#2835 for further details.

Signed-off-by: Ralph Ursprung Ralph.Ursprung@avaloq.com

Issues Resolved

n/a

Check List

• New functionality includes testing.
  • All tests pass
• New functionality has been documented.
  • New functionality has javadoc added
• Commits are signed per the DCO using --signoff
• Commit changes are listed out in CHANGELOG.md file (See: Changelog)

By submitting this pull request, I confirm that my contribution is made under the terms of the Apache 2.0 license.
For more information on following Developer Certificate of Origin and signing off your commits, please check here.

[rursprung]

• see Revert "build no-jdk distributions as part of release build (#4902)" #5465 for main
• changelog intentionally left empty because this is only build-related (and this shouldn't be listed in the changelog anymore)

[github-actions]

Gradle Check (Jenkins) Run Completed with:

• RESULT: UNSTABLE ❕
• TEST FAILURES:

      1 org.opensearch.test.rest.ClientYamlTestSuiteIT.test {p0=search.aggregation/20_terms/string profiler via global ordinals}

• URL: https://build.ci.opensearch.org/job/gradle-check/7668/
• CommitID: 9cc21c4
  Please review all flaky tests that succeeded after retry and create an issue if one does not already exist to track the flaky failure.

[dblock]

string profiler via global ordinals

#1817