[Backport] [2.x] Fix Shadow JAR dependency publication (#11369)

[reta]

Backport of #11369 to 2.x

[github-actions]

Compatibility status:

Checks if related components are compatible with change ba8eeca

Incompatible components

Skipped components

Compatible components

Compatible components: [https://github.com/opensearch-project/custom-codecs.git, https://github.com/opensearch-project/security-analytics.git, https://github.com/opensearch-project/job-scheduler.git, https://github.com/opensearch-project/observability.git, https://github.com/opensearch-project/notifications.git, https://github.com/opensearch-project/neural-search.git, https://github.com/opensearch-project/sql.git, https://github.com/opensearch-project/ml-commons.git, https://github.com/opensearch-project/geospatial.git, https://github.com/opensearch-project/index-management.git, https://github.com/opensearch-project/asynchronous-search.git, https://github.com/opensearch-project/cross-cluster-replication.git, https://github.com/opensearch-project/security.git, https://github.com/opensearch-project/reporting.git, https://github.com/opensearch-project/anomaly-detection.git, https://github.com/opensearch-project/common-utils.git, https://github.com/opensearch-project/k-nn.git, https://github.com/opensearch-project/alerting.git, https://github.com/opensearch-project/performance-analyzer-rca.git, https://github.com/opensearch-project/performance-analyzer.git]

[github-actions]

❕ Gradle check result for ba8eeca: UNSTABLE

• TEST FAILURES:

      1 org.opensearch.smoketest.SmokeTestMultiNodeClientYamlTestSuiteIT.test {yaml=pit/10_basic/Delete all}
      1 org.opensearch.remotestore.RemoteIndexPrimaryRelocationIT.testPrimaryRelocationWhileIndexing
      1 org.opensearch.backwards.MixedClusterClientYamlTestSuiteIT.test {p0=pit/10_basic/Delete all}

Please review all flaky tests that succeeded after retry and create an issue if one does not already exist to track the flaky failure.

[codecov]

Codecov Report

Attention: 2 lines in your changes are missing coverage. Please review.

Comparison is base (568a46f) 71.09% compared to head (ba8eeca) 71.06%.
Report is 1 commits behind head on 2.x.

Files	Patch %	Lines
...profile/query/ConcurrentQueryProfileBreakdown.java	66.66%	1 Missing and 1 partial ⚠️

Additional details and impacted files

@@             Coverage Diff              @@
##                2.x   #11395      +/-   ##
============================================
- Coverage     71.09%   71.06%   -0.03%     
- Complexity    59162    59176      +14     
============================================
  Files          4869     4869              
  Lines        278725   278727       +2     
  Branches      40847    40848       +1     
============================================
- Hits         198166   198084      -82     
- Misses        63792    63914     +122     
+ Partials      16767    16729      -38     

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