Backport jetpack 13.9-beta Changes (#39587)

* Changelog and readme.txt edits.

* Amend readme.txt

Committed via a GitHub action: https://github.com/Automattic/jetpack/actions/runs/11120940219

Upstream-Ref: Automattic/jetpack@33d102e

CHANGELOG.md

@@ -2,12 +2,9 @@
 
 ### This is a list detailing changes for the Jetpack RNA Connection Component releases.
 
-## [0.35.10-alpha] - unreleased
-
-This is an alpha version! The changes listed here are not final.
-
+## [0.35.10] - 2024-09-30
 ### Changed
-- Fetch adminUrl current value on function run
+- Fetch adminUrl current value on function run [#39578]
 
 ## [0.35.9] - 2024-09-25
 ### Changed
@@ -862,7 +859,7 @@ This is an alpha version! The changes listed here are not final.
 - `Main` and `ConnectUser` components added.
 - `JetpackRestApiClient` API client added.
 
-[0.35.10-alpha]: https://github.com/Automattic/jetpack-connection-js/compare/v0.35.9...v0.35.10-alpha
+[0.35.10]: https://github.com/Automattic/jetpack-connection-js/compare/v0.35.9...v0.35.10
 [0.35.9]: https://github.com/Automattic/jetpack-connection-js/compare/v0.35.8...v0.35.9
 [0.35.8]: https://github.com/Automattic/jetpack-connection-js/compare/v0.35.7...v0.35.8
 [0.35.7]: https://github.com/Automattic/jetpack-connection-js/compare/v0.35.6...v0.35.7

package.json

@@ -1,6 +1,6 @@
 {
 	"name": "@automattic/jetpack-connection",
-	"version": "0.35.10-alpha",
+	"version": "0.35.10",
 	"description": "Jetpack Connection Component",
 	"homepage": "https://github.com/Automattic/jetpack/tree/HEAD/projects/js-packages/connection/#readme",
 	"bugs": {