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.
* Replace deprecated field `code` with `source` for stored scripts (#25127)
* Replace examples using the deprecated endpoint `{index}/{type}/_search`
with `{index}/_search` (#29468)
* Use a system property to avoid deprecation warnings after the Update
Scripts have been moved to their own context (#32096)