[Backport 2.x] [Segment Replication] Bump segment infos counter before commit during replica promotion

[dreamer-89]

Manual backport of #4365

[github-actions]

Gradle Check (Jenkins) Run Completed with:

• RESULT: SUCCESS ✅
• URL: https://build.ci.opensearch.org/job/gradle-check/2577/
• CommitID: 5ded950

[codecov-commenter]

Codecov Report

Merging #4397 (5ded950) into 2.x (1edb733) will decrease coverage by 0.04%.
The diff coverage is 100.00%.

@@             Coverage Diff              @@
##                2.x    #4397      +/-   ##
============================================
- Coverage     70.72%   70.68%   -0.05%     
+ Complexity    57166    57134      -32     
============================================
  Files          4584     4584              
  Lines        274484   274486       +2     
  Branches      40223    40223              
============================================
- Hits         194137   194009     -128     
- Misses        64111    64195      +84     
- Partials      16236    16282      +46     

Impacted Files	Coverage Δ
.../opensearch/index/engine/NRTReplicationEngine.java	75.83% <100.00%> (+0.32%)	⬆️
...g/opensearch/index/analysis/CharFilterFactory.java	0.00% <0.00%> (-100.00%)	⬇️
.../org/opensearch/client/indices/AnalyzeRequest.java	31.00% <0.00%> (-47.00%)	⬇️
...regations/metrics/AbstractHyperLogLogPlusPlus.java	51.72% <0.00%> (-44.83%)	⬇️
...opensearch/persistent/PersistentTasksExecutor.java	22.22% <0.00%> (-44.45%)	⬇️
...cluster/coordination/PublishClusterStateStats.java	33.33% <0.00%> (-37.51%)	⬇️
...ion/admin/cluster/node/info/PluginsAndModules.java	53.12% <0.00%> (-34.38%)	⬇️
...pensearch/client/core/MultiTermVectorsRequest.java	41.17% <0.00%> (-29.42%)	⬇️
...rc/main/java/org/opensearch/ingest/IngestInfo.java	51.72% <0.00%> (-27.59%)	⬇️
...va/org/opensearch/client/sniff/SnifferBuilder.java	72.72% <0.00%> (-27.28%)	⬇️
... and 475 more

Help us with your feedback. Take ten seconds to tell us how you rate us. Have a feature suggestion? Share it here.