[Backport 2.x] Request level coordinator slow logs

[dzane17]

Description

2.x Backport of #10650

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]

❌ Gradle check result for 141f093: 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]

Compatibility status:

Checks if related components are compatible with change 6a2b197

Incompatible components

Incompatible components: [https://github.com/opensearch-project/performance-analyzer.git, https://github.com/opensearch-project/k-nn.git]

Skipped components

Compatible components

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

[github-actions]

✅ Gradle check result for 6a2b197: SUCCESS

[codecov]

Codecov Report

Attention: 38 lines in your changes are missing coverage. Please review.

Comparison is base (3cc2e54) 70.79% compared to head (6a2b197) 71.02%.

Files	Patch %	Lines
...opensearch/action/search/SearchRequestSlowLog.java	77.22%	18 Missing and 5 partials ⚠️
...action/search/SearchRequestOperationsListener.java	41.17%	9 Missing and 1 partial ⚠️
...pensearch/action/search/TransportSearchAction.java	37.50%	1 Missing and 4 partials ⚠️

Additional details and impacted files

@@             Coverage Diff              @@
##                2.x   #11246      +/-   ##
============================================
+ Coverage     70.79%   71.02%   +0.22%     
- Complexity    58873    59081     +208     
============================================
  Files          4867     4869       +2     
  Lines        278455   278629     +174     
  Branches      40810    40824      +14     
============================================
+ Hits         197140   197888     +748     
+ Misses        64524    64011     -513     
+ Partials      16791    16730      -61     

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