[Embeddables] Fix missing panel references when Duplicate, Copy to Dashboard, or Save as new dashboard

[nickpeihl]

Fixes #183551

Summary

Fixes missing references on React embeddables when Duplicate, Copy to Dashboard, or Save as new dashboard.

To test this:

1. Start Kibana with yarn start --run-examples.
2. Install at least two sample datasets.
3. Create a new dashboard and add a Field list panel.
4. Change the data view in the Field list panel to something other than the default data view.
5. Duplicate the panel and ensure the data view does not revert to the default.
6. Copy the panel to a new or existing dashboard and ensure the data view does not revert.
7. Save the dashboard to a new dashboard and ensure the data view does not revert.

[nickpeihl]

/ci

[nickpeihl]

/ci

[nickpeihl]

/ci

[nickpeihl]

/ci

[elasticmachine]

Pinging @elastic/kibana-presentation (Team:Presentation)

[nickpeihl]

/ci

[kibana-ci]

💛 Build succeeded, but was flaky

• Buildkite Build
• Commit: efe5322

Failed CI Steps

• FTR Configs #44

Test Failures

• [job] [logs] FTR Configs #44 / console app console vector tiles response validation "before all" hook for "should validate response"

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
dashboard	113	116	+3

Async chunks

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

id	before	after	diff
dashboard	495.5KB	495.7KB	+276.0B

Page load bundle

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

id	before	after	diff
dashboard	43.4KB	43.5KB	+131.0B

Unknown metric groups

API count

id	before	after	diff
dashboard	116	120	+4
embeddable	554	555	+1
total			+5

History

• 💚 Build #212898 succeeded 4c8dcea
• 💛 Build #212195 was flaky 73488a1
• 💔 Build #212039 failed 133a73d
• 💔 Build #212024 failed 0445f93
• 💔 Build #212002 failed 01f51c3

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