[Backport 2.x] [Segment Replication] Log diff.different files for debuggability

[opensearch-trigger-bot]

Backport 8d4bbef from #6049.

[github-actions]

Gradle Check (Jenkins) Run Completed with:

• RESULT: UNSTABLE ❕
• TEST FAILURES:

      1 org.opensearch.indices.replication.SegmentReplicationRelocationIT.testReplicationAfterForceMerge
      1 org.opensearch.indices.replication.SegmentReplicationRelocationIT.testPrimaryRelocation

• URL: https://build.ci.opensearch.org/job/gradle-check/10080/
• CommitID: 71e98a9
  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-commenter]

Codecov Report

Merging #6051 (71e98a9) into 2.x (d343657) will decrease coverage by 0.09%.
The diff coverage is 100.00%.

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@@             Coverage Diff              @@
##                2.x    #6051      +/-   ##
============================================
- Coverage     70.44%   70.36%   -0.09%     
+ Complexity    58963    58870      -93     
============================================
  Files          4769     4769              
  Lines        282621   282621              
  Branches      41167    41167              
============================================
- Hits         199089   198858     -231     
- Misses        66857    67133     +276     
+ Partials      16675    16630      -45     

Impacted Files	Coverage Δ
.../indices/replication/SegmentReplicationTarget.java	91.26% <100.00%> (ø)
...port/ResponseHandlerFailureTransportException.java	0.00% <0.00%> (-60.00%)	⬇️
...ava/org/opensearch/action/NoSuchNodeException.java	0.00% <0.00%> (-50.00%)	⬇️
...a/org/opensearch/tasks/TaskCancelledException.java	50.00% <0.00%> (-50.00%)	⬇️
.../java/org/opensearch/search/dfs/AggregatedDfs.java	51.61% <0.00%> (-45.17%)	⬇️
...cluster/coordination/PublishClusterStateStats.java	33.33% <0.00%> (-37.51%)	⬇️
...ava/org/opensearch/search/dfs/DfsSearchResult.java	43.26% <0.00%> (-35.58%)	⬇️
...ion/admin/cluster/node/info/PluginsAndModules.java	53.12% <0.00%> (-34.38%)	⬇️
...r/src/main/java/org/opensearch/http/HttpUtils.java	33.33% <0.00%> (-33.34%)	⬇️
...search/search/aggregations/pipeline/EwmaModel.java	24.44% <0.00%> (-33.34%)	⬇️
... and 455 more

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