[Backport 2.x] Fix noop_update_total metric in indexing stats cannot be updated by bulk API

[opensearch-trigger-bot]

Backport a90b6b6 from #11485.

[github-actions]

Compatibility status:

Checks if related components are compatible with change b061b81

Incompatible components

Incompatible components: [https://github.com/opensearch-project/security-analytics.git, https://github.com/opensearch-project/custom-codecs.git, https://github.com/opensearch-project/k-nn.git]

Skipped components

Compatible components

Compatible components: [https://github.com/opensearch-project/asynchronous-search.git, https://github.com/opensearch-project/observability.git, https://github.com/opensearch-project/reporting.git, https://github.com/opensearch-project/job-scheduler.git, https://github.com/opensearch-project/sql.git, https://github.com/opensearch-project/notifications.git, https://github.com/opensearch-project/common-utils.git, https://github.com/opensearch-project/security.git, https://github.com/opensearch-project/anomaly-detection.git, https://github.com/opensearch-project/neural-search.git, https://github.com/opensearch-project/ml-commons.git, https://github.com/opensearch-project/cross-cluster-replication.git, https://github.com/opensearch-project/index-management.git, https://github.com/opensearch-project/geospatial.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 b061b81: UNSTABLE

• TEST FAILURES:

      1 org.opensearch.search.SearchWeightedRoutingIT.testMultiGetWithNetworkDisruption_FailOpenEnabled
      1 org.opensearch.index.shard.RemoteStoreRefreshListenerTests.testRefreshAfterCommit
      1 org.opensearch.index.shard.RemoteStoreRefreshListenerTests.testAfterRefresh
      1 org.opensearch.index.shard.RemoteStoreRefreshListenerTests.testAfterMultipleCommits
      1 org.opensearch.index.shard.RemoteStoreRefreshListenerTests.testAfterCommit
      1 org.opensearch.index.shard.RemoteIndexShardTests.testNoFailuresOnFileReads

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 (677ea55) 71.07% compared to head (b061b81) 71.13%.
Report is 1 commits behind head on 2.x.

Additional details and impacted files

@@             Coverage Diff              @@
##                2.x   #11865      +/-   ##
============================================
+ Coverage     71.07%   71.13%   +0.06%     
- Complexity    59329    59379      +50     
============================================
  Files          4889     4889              
  Lines        279810   279811       +1     
  Branches      41035    41035              
============================================
+ Hits         198866   199042     +176     
+ Misses        64071    63948     -123     
+ Partials      16873    16821      -52     

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