…wn (elastic#211678) (elastic#212144)

# Backport

This will backport the following commits from `main` to `8.x`:
- [[Discover] [Embeddable] Fix Discover session embeddable drilldown
(elastic#211678)](elastic#211678)

<!--- Backport version: 9.6.6 -->

### Questions ?
Please refer to the [Backport tool
documentation](https://github.com/sorenlouv/backport)

<!--BACKPORT [{"author":{"name":"Davis
McPhee","email":"davis.mcphee@elastic.co"},"sourceCommit":{"committedDate":"2025-02-21T17:26:22Z","message":"[Discover]
[Embeddable] Fix Discover session embeddable drilldown (elastic#211678)\n\n##
Summary\n\nThis PR re-adds drilldown support to the Discover session
embeddable\nafter it was accidentally removed during the refactoring in
elastic#180536\n(related PR where drilldowns / dynamic actions were
refactored:\n#178896). A new functional test has also been added to
prevent future\nregressions.\n\nFixes elastic#211677.\n\n### Checklist\n\n- [ ]
Any text added follows [EUI's
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embeddable\nafter it was accidentally removed during the refactoring in
elastic#180536\n(related PR where drilldowns / dynamic actions were
refactored:\n#178896). A new functional test has also been added to
prevent future\nregressions.\n\nFixes elastic#211677.\n\n### Checklist\n\n- [ ]
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[Embeddable] Fix Discover session embeddable drilldown (elastic#211678)\n\n##
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embeddable\nafter it was accidentally removed during the refactoring in
elastic#180536\n(related PR where drilldowns / dynamic actions were
refactored:\n#178896). A new functional test has also been added to
prevent future\nregressions.\n\nFixes elastic#211677.\n\n### Checklist\n\n- [ ]
Any text added follows [EUI's
writing\nguidelines](https://elastic.github.io/eui/#/guidelines/writing),
uses\nsentence case text and includes
[i18n\nsupport](https://github.com/elastic/kibana/blob/main/src/platform/packages/shared/kbn-i18n/README.md)\n-
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appropriate Release Notes section,\nand the correct `release_note:*`
label is applied per
the\n[guidelines](https://www.elastic.co/guide/en/kibana/master/contributing.html#kibana-release-notes-process)\n\n---------\n\nCo-authored-by:
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Matthias Wilhelm
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BACKPORT-->

---------

Co-authored-by: kibanamachine <42973632+kibanamachine@users.noreply.github.com>