Sync: Enable full sync immediately for woocommerce module (#39254)

* Woocommerce Module changes for Full Sync Immediately

* Deprecate table_name and use only table with the prefix

* Ensure full sync limits are getting populated

Committed via a GitHub action: https://github.com/Automattic/jetpack/actions/runs/10772060089

Upstream-Ref: Automattic/jetpack@0e3716e

composer.json

@@ -6,7 +6,7 @@
 	"require": {
 		"php": ">=7.0",
 		"automattic/jetpack-connection": "^4.0.1",
-		"automattic/jetpack-sync": "^3.10.0"
+		"automattic/jetpack-sync": "^3.11.0-alpha"
 	},
 	"require-dev": {
 		"yoast/phpunit-polyfills": "^1.1.1",