[8.x] [kbn-expandable-flyout] - refactor push/overlay to use redux instead of hooks (#192745)

[kibanamachine]

Backport

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

• [kbn-expandable-flyout] - refactor push/overlay to use redux instead of hooks (#192745)

Questions ?

Please refer to the Backport tool documentation

[kibana-ci]

💚 Build Succeeded

• Buildkite Build
• Commit: f4115c1
• Storybooks Preview

Metrics [docs]

Module Count

Fewer modules leads to a faster build time

id	before	after	diff
discover	993	994	+1
securitySolution	5759	5760	+1
total			+2

Async chunks

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

id	before	after	diff
discover	811.7KB	812.4KB	+680.0B
securitySolution	20.3MB	20.3MB	+3.7KB
total			+4.4KB

Public APIs missing exports

Total count of every type that is part of your API that should be exported but is not. This will cause broken links in the API documentation system. Target amount is 0. Run node scripts/build_api_docs --plugin [yourplugin] --stats exports for more detailed information.

id	before	after	diff
@kbn/expandable-flyout	2	3	+1

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

cc @PhilippeOberti