[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

Merging #6283 (726bc34) into 2.x (d81cd0a) will increase coverage by 0.12%.
The diff coverage is n/a.

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@@             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     

Impacted Files	Coverage Δ
...cluster/coordination/PendingClusterStateStats.java	20.00% <0.00%> (-48.00%)	⬇️
...regations/metrics/AbstractHyperLogLogPlusPlus.java	51.72% <0.00%> (-44.83%)	⬇️
...opensearch/persistent/PersistentTasksExecutor.java	22.22% <0.00%> (-44.45%)	⬇️
.../admin/cluster/reroute/ClusterRerouteResponse.java	60.00% <0.00%> (-40.00%)	⬇️
...luster/routing/allocation/RoutingExplanations.java	62.06% <0.00%> (-37.94%)	⬇️
...cluster/coordination/PublishClusterStateStats.java	33.33% <0.00%> (-37.51%)	⬇️
...java/org/opensearch/threadpool/ThreadPoolInfo.java	56.25% <0.00%> (-37.50%)	⬇️
...pensearch/action/ingest/DeletePipelineRequest.java	31.25% <0.00%> (-37.50%)	⬇️
...cluster/routing/allocation/RerouteExplanation.java	70.00% <0.00%> (-30.00%)	⬇️
...search/search/aggregations/pipeline/EwmaModel.java	24.44% <0.00%> (-28.89%)	⬇️
... and 484 more

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