Move WPCOM_REST_API_Proxy_Request trait to the connection package (#4…

…1023)

* Move WPCOM_REST_API_Proxy_Request trait to the connection package

* Make phan happy

* WP_REST_Request instead of WP_Rest_Request

* Fix fatal due to properties' visibility

* Add $request_options param to other methods

Committed via a GitHub action: https://github.com/Automattic/jetpack/actions/runs/12784795280

Upstream-Ref: Automattic/jetpack@270e71d

composer.json

@@ -7,15 +7,15 @@
 		"php": ">=7.2",
 		"automattic/jetpack-blocks": "^3.0.1",
 		"automattic/jetpack-assets": "^4.0.2",
-		"automattic/jetpack-connection": "^6.2.2",
+		"automattic/jetpack-connection": "^6.3.0-alpha",
 		"automattic/jetpack-logo": "^3.0.0",
 		"automattic/jetpack-status": "^5.0.1",
 		"automattic/jetpack-sync": "^4.3.0"
 	},
 	"require-dev": {
 		"yoast/phpunit-polyfills": "^1.1.1",
 		"automattic/jetpack-changelogger": "^5.1.0",
-		"automattic/jetpack-connection": "^6.2.2",
+		"automattic/jetpack-connection": "^6.3.0-alpha",
 		"automattic/wordbless": "^0.4.2"
 	},
 	"suggest": {