[Backport 2.x] Deprecate public methods and variables that contain 'master' terminology in class 'NoMasterBlockService' and 'MasterService'

[opensearch-trigger-bot]

Backport e65aaca from #4006

[github-actions]

Gradle Check (Jenkins) Run Completed with:

• RESULT: SUCCESS ✅
• URL: https://build.ci.opensearch.org/job/gradle-check/1085/
• CommitID: 4528ddb

[codecov-commenter]

Codecov Report

❌ Patch coverage is 78.12500% with 7 lines in your changes missing coverage. Please review.
✅ Project coverage is 70.59%. Comparing base (5d1dc07) to head (4528ddb).
⚠️ Report is 2803 commits behind head on 2.x.

Files with missing lines	Patch %	Lines
.../org/opensearch/cluster/service/MasterService.java	62.50%	2 Missing and 1 partial ⚠️
...g/opensearch/cluster/coordination/Coordinator.java	50.00%	0 Missing and 2 partials ⚠️
...org/opensearch/cluster/service/ClusterService.java	0.00%	1 Missing ⚠️
.../opensearch/common/util/concurrent/BaseFuture.java	0.00%	0 Missing and 1 partial ⚠️

Additional details and impacted files

@@             Coverage Diff              @@
##                2.x    #4038      +/-   ##
============================================
+ Coverage     70.37%   70.59%   +0.22%     
- Complexity    56347    56449     +102     
============================================
  Files          4529     4529              
  Lines        271885   271894       +9     
  Branches      39989    39990       +1     
============================================
+ Hits         191328   191935     +607     
+ Misses        64453    63819     -634     
- Partials      16104    16140      +36     

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