[Backport 2.x] Integrate translog cleanup with snapshot deletion and fix primary term deletion logic

[opensearch-trigger-bot]

Backport 7b0846e from #15657.

[github-actions]

❌ Gradle check result for 0ac8b84: FAILURE

Please examine the workflow log, locate, and copy-paste the failure(s) below, then iterate to green. Is the failure a flaky test unrelated to your change?

[github-actions]

❌ Gradle check result for 0ac8b84: FAILURE

Please examine the workflow log, locate, and copy-paste the failure(s) below, then iterate to green. Is the failure a flaky test unrelated to your change?

[github-actions]

✅ Gradle check result for 331bb48: SUCCESS

[codecov]

Codecov Report

Attention: Patch coverage is 40.62500% with 76 lines in your changes missing coverage. Please review.

Project coverage is 71.67%. Comparing base (19c204f) to head (331bb48).
Report is 2 commits behind head on 2.x.

Files with missing lines	Patch %	Lines
...index/translog/RemoteFsTimestampAwareTranslog.java	40.00%	44 Missing and 1 partial ⚠️
...ch/repositories/blobstore/BlobStoreRepository.java	0.00%	19 Missing ⚠️
...ex/translog/transfer/TranslogTransferMetadata.java	67.85%	6 Missing and 3 partials ⚠️
...dex/translog/transfer/TranslogTransferManager.java	50.00%	1 Missing and 1 partial ⚠️
...ndex/store/RemoteSegmentStoreDirectoryFactory.java	0.00%	1 Missing ⚠️

Additional details and impacted files

@@             Coverage Diff              @@
##                2.x   #15742      +/-   ##
============================================
- Coverage     71.68%   71.67%   -0.01%     
+ Complexity    64487    64472      -15     
============================================
  Files          5263     5263              
  Lines        301684   301795     +111     
  Branches      43927    43940      +13     
============================================
+ Hits         216271   216323      +52     
- Misses        67311    67388      +77     
+ Partials      18102    18084      -18     

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