Add missed API visibility annotations for public APIs

[ashking94]

Description

#12872 adds missed API visibility annotations for public APIs and enable the check at the build time. Since #12822 had clean build and was raised before the 12872 PR, after merge the build has failed. In this PR, we add the missed annotations.

Related Issues

None

Check List

• [ ] New functionality includes testing.
  • All tests pass
• [ ] New functionality has been documented.
  • [ ] New functionality has javadoc added
• [ ] Failing checks are inspected and point to the corresponding known issue(s) (See: Troubleshooting Failing Builds)
• Commits are signed per the DCO using --signoff
• Commit changes are listed out in CHANGELOG.md file (See: Changelog)
• [ ] Public documentation issue/PR created

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[github-actions]

Compatibility status:

Checks if related components are compatible with change af429fa

Incompatible components

Skipped components

Compatible components

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

[github-actions]

✅ Gradle check result for af429fa: SUCCESS

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 71.32%. Comparing base (b15cb0c) to head (af429fa).
Report is 92 commits behind head on main.

Additional details and impacted files

@@             Coverage Diff              @@
##               main   #12920      +/-   ##
============================================
- Coverage     71.42%   71.32%   -0.10%     
- Complexity    59978    60193     +215     
============================================
  Files          4985     5015      +30     
  Lines        282275   283799    +1524     
  Branches      40946    41130     +184     
============================================
+ Hits         201603   202429     +826     
- Misses        63999    64531     +532     
- Partials      16673    16839     +166     

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