[8.x] [Embeddable Rebuild] [Controls] Remove `react_controls` top-level folder (#193451)

[kibanamachine]

Backport

This will backport the following commits from main to 8.x:

• [Embeddable Rebuild] [Controls] Remove `react_controls` top-level folder (#193451)

Questions ?

Please refer to the Backport tool documentation

[kibana-ci]

:yellow_heart: Build succeeded, but was flaky

• Buildkite Build
• Commit: f91b870c40155610323b5017ef92e7d2aacbb8cf

Failed CI Steps

• Jest Tests #4

Test Failures

• [job] [logs] Jest Tests #4 / Policy Advanced Settings section should expand and collapse section when button is clicked

Metrics [docs]

Async chunks

Total size of all lazy-loaded chunks that will be downloaded as the user navigates the app

id	before	after	diff
controls	455.7KB	455.7KB	-4.0B

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

cc @Heenawter