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

@@ -26,16 +26,17 @@
 		"@babel/core": "7.24.7",
 		"@babel/plugin-transform-react-jsx": "7.24.7",
 		"@jest/globals": "29.7.0",
-		"@storybook/addon-actions": "8.1.6",
-		"@storybook/blocks": "8.1.6",
-		"@storybook/react": "8.1.6",
+		"@storybook/addon-actions": "8.2.9",
+		"@storybook/blocks": "8.2.9",
+		"@storybook/react": "8.2.9",
 		"@testing-library/react": "15.0.7",
 		"@types/jest": "29.5.12",
 		"@types/react": "18.3.3",
 		"@wordpress/babel-plugin-import-jsx-pragma": "5.5.0",
 		"babel-jest": "29.7.0",
 		"jest": "^29.7.0",
 		"jest-environment-jsdom": "29.7.0",
+		"storybook": "8.2.9",
 		"typescript": "5.0.4"
 	},
 	"exports": {
@@ -49,7 +50,7 @@
 	"dependencies": {
 		"@automattic/jetpack-api": "^0.17.10",
 		"@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",
 		"@wordpress/api-fetch": "7.5.0",
 		"@wordpress/element": "6.5.0",
@@ -60,8 +61,8 @@
 		"react-dom": "^18.2.0"
 	},
 	"peerDependencies": {
+		"@wordpress/i18n": "5.5.0",
 		"react": "^18.2.0",
-		"react-dom": "^18.2.0",
-		"@wordpress/i18n": "5.5.0"
+		"react-dom": "^18.2.0"
 	}
 }