[Backport 2.x] Add statsName field on stream while constructing PersistedStateStats

[opensearch-trigger-bot]

Backport f372cbf from #10964.

[github-actions]

Compatibility status:

Checks if related components are compatible with change 172a8d9

Incompatible components

Incompatible components: [https://github.com/opensearch-project/performance-analyzer.git]

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/anomaly-detection.git, https://github.com/opensearch-project/asynchronous-search.git, https://github.com/opensearch-project/index-management.git, https://github.com/opensearch-project/common-utils.git, https://github.com/opensearch-project/sql.git, https://github.com/opensearch-project/reporting.git, https://github.com/opensearch-project/observability.git, https://github.com/opensearch-project/security-analytics.git, https://github.com/opensearch-project/job-scheduler.git, https://github.com/opensearch-project/cross-cluster-replication.git, https://github.com/opensearch-project/custom-codecs.git, https://github.com/opensearch-project/k-nn.git, https://github.com/opensearch-project/geospatial.git, https://github.com/opensearch-project/ml-commons.git, https://github.com/opensearch-project/notifications.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/29187/
• CommitID: 172a8d9

[codecov]

Codecov Report

Merging #10976 (172a8d9) into 2.x (c85e75c) will decrease coverage by 0.03%.
Report is 3 commits behind head on 2.x.
The diff coverage is 92.30%.

@@             Coverage Diff              @@
##                2.x   #10976      +/-   ##
============================================
- Coverage     70.95%   70.93%   -0.03%     
+ Complexity    58826    58797      -29     
============================================
  Files          4847     4845       -2     
  Lines        277649   277517     -132     
  Branches      40721    40691      -30     
============================================
- Hits         197019   196849     -170     
- Misses        63910    63937      +27     
- Partials      16720    16731      +11     

Files	Coverage Δ
...ensearch/action/bulk/TransportShardBulkAction.java	76.16% <ø> (ø)
...ction/resync/TransportResyncReplicationAction.java	50.87% <ø> (ø)
...tion/support/replication/TransportWriteAction.java	82.26% <100.00%> (+0.92%)	⬆️
...arch/cluster/coordination/PersistedStateStats.java	74.07% <100.00%> (+40.74%)	⬆️
...ensearch/index/seqno/RetentionLeaseSyncAction.java	78.68% <ø> (ø)
...in/java/org/opensearch/index/shard/IndexShard.java	69.97% <100.00%> (+0.35%)	⬆️
.../org/opensearch/telemetry/tracing/SpanBuilder.java	90.56% <90.00%> (-0.14%)	⬇️
...rg/opensearch/action/bulk/TransportBulkAction.java	76.07% <89.18%> (-0.38%)	⬇️

... and 464 files with indirect coverage changes