[Backport 2.x] Fix flaky segrep test testPrimaryStopped_ReplicaPromoted

[opensearch-trigger-bot]

Backport c95a6b9 from #6282.

[github-actions]

Gradle Check (Jenkins) Run Completed with:

• RESULT: UNSTABLE ❕
• TEST FAILURES:

      1 org.opensearch.indices.replication.SegmentReplicationStatsIT.testSegmentReplicationStatsResponse

• URL: https://build.ci.opensearch.org/job/gradle-check/10983/
• CommitID: 726bc34
  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

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 70.45%. Comparing base (d81cd0a) to head (726bc34).
⚠️ Report is 2462 commits behind head on 2.x.

Additional details and impacted files

@@             Coverage Diff              @@
##                2.x    #6283      +/-   ##
============================================
+ Coverage     70.33%   70.45%   +0.12%     
- Complexity    59057    59084      +27     
============================================
  Files          4785     4785              
  Lines        283490   283490              
  Branches      41259    41259              
============================================
+ Hits         199394   199736     +342     
+ Misses        67451    67049     -402     
- Partials      16645    16705      +60     

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