Changes:
* Removes narrative around URI searches. These aren't commonly used in production. The `q` param is already covered in the search API docs: https://www.elastic.co/guide/en/elasticsearch/reference/master/search-search.html#search-api-query-params-q
* Adds a common options section that highlights narrative docs for query DSL, aggregations, multi-index search, search fields, pagination, sorting, and async search.
* Adds a `Search shard routing` page. Moves narrative docs for adaptive replica selection, preference, routing , and shard limits to that section.
* Moves search timeout and cancellation content to the `Search your data` page.
* Creates a `Search multiple data streams and indices` page. Moves related narrative docs for multi-target syntax searches and `indices_boost` to that page.
* Removes narrative examples for the `search_type` parameters. Moves documentation for this parameter to the search API docs.
For each API, the following updates were made:
- Add deprecation warnings to `Rest*Action`, plus tests in `Rest*ActionTests`.
- For each REST yml test, make sure there is one version without types, and another legacy version that retains types (called *_with_types.yml).
- Deprecate relevant methods on the Java HLRC requests/ responses.
- Update documentation (for both the REST API and Java HLRC).
This further applies the pattern set in #34125 to reduce copy-and-paste
in the multi-document CRUD portion of the High Level REST Client docs.
It also adds line wraps to snippets that are too wide to fit into the box
when rendered in the docs, following up on the work started in #34163.
