[Backport 2.x] Fix: org.opensearch.clustermanager.ClusterManagerTaskThrottlingIT is flaky.

[opensearch-trigger-bot]

Backport 88757b4 from #5152.

[github-actions]

Gradle Check (Jenkins) Run Completed with:

• RESULT: UNSTABLE ❌
• URL: https://build.ci.opensearch.org/job/gradle-check/6615/
• CommitID: 843eef1
  Please examine the workflow log, locate, and copy-paste the failure below, then iterate to green.
  Is the failure a flaky test unrelated to your change?

[github-actions]

Gradle Check (Jenkins) Run Completed with:

• RESULT: FAILURE ❌
• URL: https://build.ci.opensearch.org/job/gradle-check/6633/
• CommitID: f5b089a
  Please examine the workflow log, locate, and copy-paste the failure below, then iterate to green.
  Is the failure a flaky test unrelated to your change?

[github-actions]

Gradle Check (Jenkins) Run Completed with:

• RESULT: SUCCESS ✅
• URL: https://build.ci.opensearch.org/job/gradle-check/6626/
• CommitID: 843eef1

[codecov-commenter]

Codecov Report

Merging #5153 (843eef1) into 2.x (8b8b5db) will decrease coverage by 0.00%.
The diff coverage is n/a.

❗ Current head 843eef1 differs from pull request most recent head f5b089a. Consider uploading reports for the commit f5b089a to get more accurate results

@@             Coverage Diff              @@
##                2.x    #5153      +/-   ##
============================================
- Coverage     70.72%   70.71%   -0.01%     
- Complexity    58355    58417      +62     
============================================
  Files          4700     4700              
  Lines        279109   279109              
  Branches      40747    40747              
============================================
- Hits         197387   197377      -10     
- Misses        65265    65306      +41     
+ Partials      16457    16426      -31     

Impacted Files	Coverage Δ
...search/indices/recovery/RecoveryTargetHandler.java	0.00% <0.00%> (-100.00%)	⬇️
.../index/shard/IndexShardNotRecoveringException.java	0.00% <0.00%> (-100.00%)	⬇️
...a/org/opensearch/client/cluster/ProxyModeInfo.java	0.00% <0.00%> (-57.90%)	⬇️
.../java/org/opensearch/node/NodeClosedException.java	50.00% <0.00%> (-50.00%)	⬇️
...cluster/coordination/PendingClusterStateStats.java	20.00% <0.00%> (-48.00%)	⬇️
...min/cluster/snapshots/get/GetSnapshotsRequest.java	52.63% <0.00%> (-31.58%)	⬇️
...opensearch/index/reindex/BulkByScrollResponse.java	48.38% <0.00%> (-28.23%)	⬇️
.../search/aggregations/pipeline/HoltLinearModel.java	20.33% <0.00%> (-25.43%)	⬇️
...ion/admin/cluster/node/info/PluginsAndModules.java	53.12% <0.00%> (-25.00%)	⬇️
...ensearch/client/indices/DetailAnalyzeResponse.java	20.54% <0.00%> (-24.66%)	⬇️
... and 500 more

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[github-actions]

Gradle Check (Jenkins) Run Completed with:

• RESULT: SUCCESS ✅
• URL: https://build.ci.opensearch.org/job/gradle-check/6642/
• CommitID: f5b089a