[Backport 2.x] Add deleted doc count in _cat/shards

[rayshrey]

Description

Backport PR for #11678

Related Issues

Resolves #[Issue number to be closed when this PR is merged]

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

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.

[github-actions]

Compatibility status:

Checks if related components are compatible with change 11a6c4c

Incompatible components

Skipped components

Compatible components

Compatible components: [https://github.com/opensearch-project/security-analytics.git, https://github.com/opensearch-project/security.git, https://github.com/opensearch-project/observability.git, https://github.com/opensearch-project/job-scheduler.git, https://github.com/opensearch-project/custom-codecs.git, https://github.com/opensearch-project/notifications.git, https://github.com/opensearch-project/sql.git, https://github.com/opensearch-project/cross-cluster-replication.git, https://github.com/opensearch-project/ml-commons.git, https://github.com/opensearch-project/asynchronous-search.git, https://github.com/opensearch-project/geospatial.git, https://github.com/opensearch-project/neural-search.git, https://github.com/opensearch-project/reporting.git, https://github.com/opensearch-project/index-management.git, https://github.com/opensearch-project/common-utils.git, https://github.com/opensearch-project/anomaly-detection.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 d919156: FAILURE

Please examine the workflow log, locate, and copy-paste the failure(s) below, then iterate to green. Is the failure a flaky test unrelated to your change?

[github-actions]

❕ Gradle check result for 11a6c4c: UNSTABLE

• TEST FAILURES:

      1 org.opensearch.search.SearchWeightedRoutingIT.testMultiGetWithNetworkDisruption_FailOpenEnabled
      1 org.opensearch.repositories.gcs.GoogleCloudStorageBlobContainerRetriesTests.testWriteLargeBlob

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

All modified and coverable lines are covered by tests ✅

Comparison is base (0cb2c6d) 70.98% compared to head (11a6c4c) 71.05%.
Report is 1 commits behind head on 2.x.

Additional details and impacted files

@@             Coverage Diff              @@
##                2.x   #11766      +/-   ##
============================================
+ Coverage     70.98%   71.05%   +0.06%     
- Complexity    59303    59304       +1     
============================================
  Files          4887     4887              
  Lines        279734   279736       +2     
  Branches      41032    41032              
============================================
+ Hits         198575   198761     +186     
+ Misses        64294    64140     -154     
+ Partials      16865    16835      -30     

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