[Profiling] Remove setting for Elasticsearch profiling plugin

[jbcrail]

Summary

This PR removes the advanced setting that toggles access to the Elasticsearch profiling plugin.

The setting is no longer needed since it was deprecated by #155955.

[apmmachine]

🤖 GitHub comments

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Just comment with:

• /oblt-deploy : Deploy a Kibana instance using the Observability test environments.
• run elasticsearch-ci/docs : Re-trigger the docs validation. (use unformatted text in the comment!)

[kibana-ci]

💚 Build Succeeded

• Buildkite Build
• Commit: ddace49

Metrics [docs]

Public APIs missing comments

Total count of every public API that lacks a comment. Target amount is 0. Run node scripts/build_api_docs --plugin [yourplugin] --stats comments for more detailed information.

id	before	after	diff
observability	549	540	-9

Any counts in public APIs

Total count of every any typed public API. Target amount is 0. Run node scripts/build_api_docs --plugin [yourplugin] --stats any for more detailed information.

id	before	after	diff
observability	45	43	-2

Page load bundle

Size of the bundles that are downloaded on every page load. Target size is below 100kb

id	before	after	diff
observability	55.9KB	55.8KB	-144.0B

Unknown metric groups

API count

id	before	after	diff
observability	555	546	-9

ESLint disabled line counts

id	before	after	diff
enterpriseSearch	19	21	+2
securitySolution	400	404	+4
total			+6

Total ESLint disabled count

id	before	after	diff
enterpriseSearch	20	22	+2
securitySolution	480	484	+4
total			+6

To update your PR or re-run it, just comment with:
@elasticmachine merge upstream

[rockdaboot]

LGTM

[fkanout]

Actionable Observability changes LGTM