Migrate Telemetry plugins' Elasticsearch client

[TinaHeiligers]

Summary

Migrates the telemetry-related plugins' elasticsearch client to the new client.
Removes support for the legacy elasticsearch client from the usage_collector's fetch context.
Resolves #83124

Note: The open PR's for migrating the following usage collector's elasticsearch client to the new client were merged preemptively into this PR:
rollup merged to master
uptime merged to master
security_solution merged to master
spaces merged to master

Checklist

Delete any items that are not applicable to this PR.

• Documentation was added for features that require explanation or tutorials
• Unit or functional tests were updated or added to match the most common scenarios

For maintainers

• This was checked for breaking API changes and was labeled appropriately

Dev docs

This PR removes support for the legacy elasticsearch client from the usage_collector's fetch context.

[TinaHeiligers]

@elasticmachine merge upstream

[TinaHeiligers]

@elasticmachine merge upstream

[TinaHeiligers]

@elasticmachine merge upstream

[kibanamachine]

💚 Build Succeeded

• continuous-integration/kibana-ci/pull-request
• Commit: 5f20cd4

Metrics [docs]

Distributable file count

id	before	after	diff
default	47252	48012	+760

History

• 💔 Build #96830 failed 13f920d
• 💚 Build #96769 succeeded 3d60e44
• 💚 Build #96496 succeeded a924695
• 💚 Build #96277 succeeded cc71ede
• 💚 Build #96207 succeeded d3bd5b1

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

[TinaHeiligers]

Closing this PR since #87356 has a cleaner history.