Changelog and readme.txt edits. (#40117)

Committed via a GitHub action: https://github.com/Automattic/jetpack/actions/runs/11770833755

Upstream-Ref: Automattic/jetpack@11c5944

CHANGELOG.md

@@ -2,12 +2,11 @@
 
 ### This is a list detailing changes for the Jetpack RNA Connection Component releases.
 
-## [0.35.16-alpha] - unreleased
-
-This is an alpha version! The changes listed here are not final.
-
+## [0.35.16] - 2024-11-11
 ### Changed
-- Updated package dependencies.
+- Updated package dependencies. [#39999]
+- Updated package dependencies. [#40000]
+- Updated package dependencies. [#40060]
 
 ## [0.35.15] - 2024-11-04
 ### Added
@@ -889,7 +888,7 @@ This is an alpha version! The changes listed here are not final.
 - `Main` and `ConnectUser` components added.
 - `JetpackRestApiClient` API client added.
 
-[0.35.16-alpha]: https://github.com/Automattic/jetpack-connection-js/compare/v0.35.15...v0.35.16-alpha
+[0.35.16]: https://github.com/Automattic/jetpack-connection-js/compare/v0.35.15...v0.35.16
 [0.35.15]: https://github.com/Automattic/jetpack-connection-js/compare/v0.35.14...v0.35.15
 [0.35.14]: https://github.com/Automattic/jetpack-connection-js/compare/v0.35.13...v0.35.14
 [0.35.13]: https://github.com/Automattic/jetpack-connection-js/compare/v0.35.12...v0.35.13

package.json

@@ -1,6 +1,6 @@
 {
 	"name": "@automattic/jetpack-connection",
-	"version": "0.35.16-alpha",
+	"version": "0.35.16",
 	"description": "Jetpack Connection Component",
 	"homepage": "https://github.com/Automattic/jetpack/tree/HEAD/projects/js-packages/connection/#readme",
 	"bugs": {
@@ -15,10 +15,10 @@
 	"license": "GPL-2.0-or-later",
 	"dependencies": {
 		"@automattic/jetpack-analytics": "^0.1.32",
-		"@automattic/jetpack-api": "^0.17.17-alpha",
-		"@automattic/jetpack-components": "^0.59.0-alpha",
+		"@automattic/jetpack-api": "^0.17.17",
+		"@automattic/jetpack-components": "^0.59.0",
 		"@automattic/jetpack-config": "^0.1.26",
-		"@automattic/jetpack-script-data": "^0.1.4-alpha",
+		"@automattic/jetpack-script-data": "^0.1.4",
 		"@wordpress/base-styles": "5.11.0",
 		"@wordpress/browserslist-config": "6.11.0",
 		"@wordpress/components": "28.11.0",
@@ -31,7 +31,7 @@
 		"prop-types": "^15.7.2"
 	},
 	"devDependencies": {
-		"@automattic/jetpack-base-styles": "^0.6.35-alpha",
+		"@automattic/jetpack-base-styles": "^0.6.35",
 		"@babel/core": "7.26.0",
 		"@babel/preset-react": "7.25.9",
 		"@storybook/addon-actions": "8.3.5",