Add a new request parameter "cluster_manager_timeout" in the REST APIs that accept "master_timeout" parameter, and deprecate "master_timeout"

[tlfeng]

Is your feature request related to a problem? Please describe.
To promote inclusive language, replace "master" terminology in the request parameter "master_timeout" in many REST APIs.

A part of issue #1549

In version 2.0 and above:

• Refactor the code commit a87c9d4 (PR: Centralize codes related to 'master_timeout' deprecation for eaiser removal - in CAT Nodes API #2670)
• Make High-Level-Rest-Client tests allow deprecation warning temporarily (PR: Make High-Level-Rest-Client tests allow deprecation warning temporarily, during deprecation of request parameter 'master_timeout' #2702)
• CAT APIs (PR: Add request parameter 'cluster_manager_timeout' as the alternative for 'master_timeout', and deprecate 'master_timeout' - in CAT APIs #2557)
• Cluster APIs (PR: Add request parameter 'cluster_manager_timeout' and deprecate 'master_timeout' - in Cluster APIs #2658)
• Index APIs (PR: Add request parameter 'cluster_manager_timeout' and deprecate 'master_timeout' - in Index APIs except index template APIs #2660 and Add request parameter 'cluster_manager_timeout' and deprecate 'master_timeout' - in Index Template APIs #2678)
• Snapshot APIs (PR: Add request parameter 'cluster_manager_timeout' and deprecate 'master_timeout' - in Snapshot APIs #2680)
• Ingest APIs and Script APIs (PR: Add request parameter 'cluster_manager_timeout' and deprecate 'master_timeout' - in Ingest APIs and Script APIs #2682)

[Update on 04/15/2022]
To compromise with the compatibility of High Level REST Client with server, the plan is adjusted to show deprecation warning start from version 3.0. For the detailed plan, see issue #2928 .

In version >=2.0 and <3.0:

• Remove deprecation warnings of using master_timeout parameter (PR: [2.x] Remove deprecation warning of using REST API request parameter 'master_timeout' #2920)
• Set the High-Level-Rest-Client tests back to treating warning header as a failure. (PR: [2.x] Revert "Make High-Level-Rest-Client tests allow deprecation warning temporarily (#2702)" #2930)

In version 3.0 and above:

• Use cluster_manager_timeout instead of master_timeout in High-Level-Rest-Client to fix test failures caused by deprecation warning (PR: Replace parameter 'master_timeout' with 'cluster_manager_tiemout' in RequestConverters of High-Level-Rest-Client #2683)
• Set the High-Level-Rest-Client tests back to treating warning header as a failure. (PR: Revert "Make High-Level-Rest-Client tests allow deprecation warning temporarily (#2702)" #2744)

Describe the solution you'd like

• Replace "master_timeout" with "cluster_manager_timeout"
• The PR to make this change in CAT Nodes API is a sample for all the other APIs: Add request parameter 'cluster_manager_timeout' as the alternative for 'master_timeout', and deprecate 'master_timeout' - in CAT Nodes API #2435

Describe alternatives you've considered
A clear and concise description of any alternative solutions or features you've considered.

Additional context
List of the REST APIs that have got request parameter master_timeout

• In CAT API:
  CAT Allocation API https://opensearch.org/docs/opensearch/rest-api/cat/cat-allocation/
  CAT Indices API https://opensearch.org/docs/opensearch/rest-api/cat/cat-indices/
  CAT Master API https://opensearch.org/docs/opensearch/rest-api/cat/cat-master/
  CAT Nodeattrs API https://opensearch.org/docs/opensearch/rest-api/cat/cat-nodeattrs/
  CAT Nodes API https://opensearch.org/docs/latest/opensearch/rest-api/cat/cat-nodes/
  CAT Pending tasks API https://opensearch.org/docs/opensearch/rest-api/cat/cat-pending-tasks/
  CAT Plugins API https://opensearch.org/docs/opensearch/rest-api/cat/cat-plugins/
  CAT Repositories API https://opensearch.org/docs/opensearch/rest-api/cat/cat-repositories/
  CAT Shards API https://opensearch.org/docs/opensearch/rest-api/cat/cat-shards/
  CAT Snapshots API https://opensearch.org/docs/opensearch/rest-api/cat/cat-snapshots/
  CAT Templates API https://opensearch.org/docs/opensearch/rest-api/cat/cat-templates/
  CAT Thread pool API https://opensearch.org/docs/opensearch/rest-api/cat/cat-thread-pool/
  CAT Segment API https://opensearch.org/docs/latest/opensearch/rest-api/cat/cat-segments/
• In Cluster API:
  Cluster health API https://opensearch.org/docs/opensearch/rest-api/cluster-health/
  Cluster reroute API - POST /_cluster/reroute
  Cluster state API - GET /_cluster/state/<metrics>/<target>
  Cluster get settings API https://opensearch.org/docs/latest/opensearch/rest-api/cluster-settings/
  Cluster update settings API https://opensearch.org/docs/latest/opensearch/rest-api/cluster-settings/
  Pending cluster tasks API - GET /_cluster/pending_tasks
• In Index API:
  Index management:
  Create index API https://opensearch.org/docs/latest/opensearch/rest-api/index-apis/create-index/
  Delete index API https://opensearch.org/docs/latest/opensearch/rest-api/index-apis/delete-index/
  Get index API https://opensearch.org/docs/latest/opensearch/rest-api/index-apis/get-index/
  Open index API https://opensearch.org/docs/latest/opensearch/rest-api/index-apis/open-index/
  Close index API https://opensearch.org/docs/latest/opensearch/rest-api/index-apis/close-index/
  Clone index API https://opensearch.org/docs/latest/opensearch/rest-api/index-apis/clone/
  Shrink index API https://opensearch.org/docs/latest/opensearch/rest-api/index-apis/shrink-index/
  Split index API https://opensearch.org/docs/latest/opensearch/rest-api/index-apis/split/
  Rollover index API POST /<rollover-target>/_rollover/<target-index>
  Alias management:
  Add index alias API https://opensearch.org/docs/latest/opensearch/rest-api/alias/
  Delete index alias API DELETE /<index>/_alias/<alias>
  Mapping management:
  Get mapping API
  Put mapping API https://opensearch.org/docs/latest/opensearch/rest-api/index-apis/put-mapping/
  Index settings:
  Get Index Settings API https://opensearch.org/docs/latest/opensearch/rest-api/index-apis/get-settings/
  Update index settings API https://opensearch.org/docs/latest/opensearch/rest-api/index-apis/update-settings/
  Index templates:
  Get (Legacy) Index Template API GET /_template/<index-template>
  Delete (Legacy) Index Template API DELETE /_template/<index-template>
  Put (Legacy) Index Template API PUT /_template/<index-template>
  Get (Composable) Index Template API GET /_index_template/<index-template>
  Delete (Composable) Index Template API
  Put (Composable) Index Template API
  Get Component Template API GET /_component_template/<index-template>
  Delete Component Template API
  Put Component Template API
  Simulate index API POST /_index_template/_simulate_index/{name}
  Simulate index template API POST /_index_template/_simulate
  Dangling indices:
  Delete Dangling Index API
  Import Dangling Index API POST /_dangling/<index-uuid>
  Other:
  Add index block API PUT /<index>/_block/<block>
• In Snapshot API:
  Put snapshot repository API PUT /_snapshot/<repository>, POST /_snapshot/<repository>
  Get snapshot repository API
  Delete snapshot repository API
  Clean up snapshot repository API POST /_snapshot/<repository>/_cleanup
  Verify snapshot repository API POST /_snapshot/<repository>/_verify
  Create snapshot API
  Get snapshot API
  Delete snapshot API
  Restore snapshot API POST /_snapshot/<repository>/<snapshot>/_restore
  Clone snapshot API
  Get snapshot status API GET _snapshot/<repository>/<snapshot>/_status
• In Ingest API:
  Put pipeline API https://opensearch.org/docs/latest/opensearch/rest-api/ingest-apis/create-update-ingest/
  Get pipeline API https://opensearch.org/docs/latest/opensearch/rest-api/ingest-apis/get-ingest/
  Delete pipeline API https://opensearch.org/docs/latest/opensearch/rest-api/ingest-apis/delete-ingest/
• In Script API:
  Get stored script API GET _scripts/<script-id>
  Put stored script API
  Delete stored script API