Products block: Improve stability E2E tests (https://github.com/woocommerce/woocommerce-blocks/pull/10075)

plugins/woocommerce-blocks/tests/e2e-pw/tests/products/products.block_theme.side_effects.spec.ts

@@ -151,11 +151,12 @@ for ( const {
 				parentClientId
 			);
 
-			await editor.saveSiteEditorEntities();
-
-			await page.waitForResponse( ( response ) =>
-				response.url().includes( 'wp-json/wp/v2/templates/' )
-			);
+			await Promise.all( [
+				editor.saveSiteEditorEntities(),
+				page.waitForResponse( ( response ) =>
+					response.url().includes( 'wp-json/wp/v2/templates/' )
+				),
+			] );
 
 			// @todo This is a workaround to wait for the save button to be enabled. It works only without Gutenberg enabled. We have to refactor this.
 			await page