[Backport 2.17] Make Remote Publication a static setting (#15478)

[shiv0408]

cherry-pick 3fdbd8b from #15478

[github-actions]

❌ Gradle check result for e2ef6bd: 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 7e0dbd5: 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 7e0dbd5: UNSTABLE

Please review all flaky tests that succeeded after retry and create an issue if one does not already exist to track the flaky failure.

[codecov]

Codecov Report

Attention: Patch coverage is 66.66667% with 1 line in your changes missing coverage. Please review.

Project coverage is 71.67%. Comparing base (9f95932) to head (7e0dbd5).
Report is 8 commits behind head on 2.17.

Files with missing lines	Patch %	Lines
...search/cluster/coordination/CoordinationState.java	0.00%	0 Missing and 1 partial ⚠️

Additional details and impacted files

@@             Coverage Diff              @@
##               2.17   #15784      +/-   ##
============================================
- Coverage     71.68%   71.67%   -0.01%     
+ Complexity    64484    64478       -6     
============================================
  Files          5263     5263              
  Lines        301615   301621       +6     
  Branches      43913    43914       +1     
============================================
- Hits         216199   216190       -9     
- Misses        67356    67386      +30     
+ Partials      18060    18045      -15     

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