Use standard format for reload settings API (#51560)

[williamrandolph]

• Use standard format for reload settings API

The reload-secure-settings API page was not reorganized for the standard
API format, so this commit is reorganizing the page and adding some
links to the page in related documentation.

• Fix broken links

• Reorder examples to correctly check API response

• Note that only certain settings are reloadable

• [DOCS] Edits layout

• [DOCS] Removes unnecessary callouts

Co-authored-by: Lisa Cawley lcawley@elastic.co

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[elasticmachine]

Pinging @elastic/es-docs (>docs)

[elasticmachine]

Pinging @elastic/es-security (:Security/Security)

[lcawl]

LGTM, thanks!