Replace internal usages of 'master' term in 'client' directory

[tlfeng]

Description

• Replace the non-inclusive terminology "master" with "cluster manager" in code comments, internal variable and method names, in client directory.
• Backwards compatibility is not impacted.

Replacement rules:

• master -> cluster_manager or clusterManager (variable name) or cluster-manager (code comment)
• Master -> ClusterManager

Issues Resolved

A part of #1548

Check List

• New functionality includes testing.
  • All tests pass
• New functionality has been documented.
  • New functionality has javadoc added
• Commits are signed per the DCO using --signoff

By submitting this pull request, I confirm that my contribution is made under the terms of the Apache 2.0 license.
For more information on following Developer Certificate of Origin and signing off your commits, please check here.

[opensearch-ci-bot]

✅   Gradle Check success 3bc8043
Log 4824

Reports 4824

[opensearch-trigger-bot]

The backport to 2.x failed:

The process '/usr/bin/git' failed with exit code 1

To backport manually, run these commands in your terminal:

# Fetch latest updates from GitHub
git fetch
# Create a new working tree
git worktree add .worktrees/backport-2.x 2.x
# Navigate to the new working tree
cd .worktrees/backport-2.x
# Create a new branch
git switch --create backport/backport-3088-to-2.x
# Cherry-pick the merged commit of this pull request and resolve the conflicts
git cherry-pick -x --mainline 1 dd7add25681b9fa206a92dceee97c69ca21948ef
# Push it to GitHub
git push --set-upstream origin backport/backport-3088-to-2.x
# Go back to the original working tree
cd ../..
# Delete the working tree
git worktree remove .worktrees/backport-2.x

Then, create a pull request where the base branch is 2.x and the compare/head branch is backport/backport-3088-to-2.x.

[tlfeng]

Created PR #3284 to backport the change to 2.x branch.