[8.x] [embeddable] remove export of inspector-plugin types (#204816)

[kibanamachine]

Backport

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

• [embeddable] remove export of inspector-plugin types (#204816)

Questions ?

Please refer to the Backport tool documentation

[elasticmachine]

💛 Build succeeded, but was flaky

• Buildkite Build
• Commit: 411c7bc

Failed CI Steps

• FTR Configs #13

Test Failures

• [job] [logs] FTR Configs #13 / InfraOps App Metrics UI Node Details #Asset Type: host Processes Tab should render processes tab and with Total Value summary

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
embeddable	291	289	-2

Unknown metric groups

API count

id	before	after	diff
embeddable	377	374	-3

cc @nreese