Update storybook monorepo to v8.2.9 (#38893)

* Update storybook monorepo to v8.2.9
* Add a bunch of `storybook` deps everywhere.
  When Storybook decided to do storybookjs/storybook#27039, they seem to
  have neglected the use case where monorepos might only need a few
  add-ons for stories in various packages, with all of the storybook stuff
  in a separate dummy package. So now we need to bring in all of storybook
  as a dev-dep in every package that has stories.
* Fix babel config.
  Broken by storybookjs/storybook#28469.

---------

Co-authored-by: Renovate Bot <bot@renovateapp.com>
Co-authored-by: Brad Jorsch <brad.jorsch@automattic.com>

Committed via a GitHub action: https://github.com/Automattic/jetpack/actions/runs/10406793290

Upstream-Ref: Automattic/jetpack@ee09161

package.json

@@ -23,14 +23,15 @@
 	},
 	"type": "module",
 	"devDependencies": {
-		"@storybook/addon-actions": "8.1.6",
-		"@storybook/blocks": "8.1.6",
-		"@storybook/preview-api": "8.1.6",
-		"@storybook/react": "8.1.6",
+		"@storybook/addon-actions": "8.2.9",
+		"@storybook/blocks": "8.2.9",
+		"@storybook/preview-api": "8.2.9",
+		"@storybook/react": "8.2.9",
 		"@types/markdown-it": "14.1.2",
 		"@types/turndown": "5.0.5",
 		"jest": "^29.6.2",
 		"jest-environment-jsdom": "29.7.0",
+		"storybook": "8.2.9",
 		"typescript": "5.0.4"
 	},
 	"exports": {
@@ -43,7 +44,7 @@
 	"types": "./build/index.d.ts",
 	"dependencies": {
 		"@automattic/jetpack-base-styles": "^0.6.29",
-		"@automattic/jetpack-connection": "^0.35.1",
+		"@automattic/jetpack-connection": "^0.35.2-alpha",
 		"@automattic/jetpack-shared-extension-utils": "^0.15.3",
 		"@microsoft/fetch-event-source": "2.0.1",
 		"@types/react": "18.3.3",