[Backport 2.11] fix stale remote cluster uuid state not purged from remote

[opensearch-trigger-bot]

Backport 1eec0f1 from #10016.

[github-actions]

Compatibility status:

Checks if related components are compatible with change ed4a220

Incompatible components

Skipped components

Compatible components

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

[github-actions]

Gradle Check (Jenkins) Run Completed with:

• RESULT: SUCCESS ✅
• URL: https://build.ci.opensearch.org/job/gradle-check/27254/
• CommitID: ed4a220

[codecov]

Codecov Report

Merging #10446 (ed4a220) into 2.11 (f164bf5) will increase coverage by 0.07%.
Report is 2 commits behind head on 2.11.
The diff coverage is 82.75%.

@@             Coverage Diff              @@
##               2.11   #10446      +/-   ##
============================================
+ Coverage     70.86%   70.93%   +0.07%     
- Complexity    58501    58535      +34     
============================================
  Files          4829     4829              
  Lines        276344   276364      +20     
  Branches      40578    40578              
============================================
+ Hits         195821   196037     +216     
+ Misses        63808    63632     -176     
+ Partials      16715    16695      -20     

Files	Coverage Δ
...nsearch/http/netty4/Netty4HttpServerTransport.java	75.75% <100.00%> (+0.56%)	⬆️
...in/java/org/opensearch/transport/Netty4Plugin.java	73.68% <ø> (ø)
...src/main/java/org/opensearch/rest/RestHandler.java	60.37% <ø> (ø)
...arch/gateway/remote/RemoteClusterStateService.java	67.81% <78.26%> (+3.16%)	⬆️

... and 462 files with indirect coverage changes