diff --git a/e2e-tests/specs/customizer/general/custom-global-colors.spec.ts b/e2e-tests/specs/customizer/general/custom-global-colors.spec.ts
index 7b54963d32..7ab8ab8caa 100644
--- a/e2e-tests/specs/customizer/general/custom-global-colors.spec.ts
+++ b/e2e-tests/specs/customizer/general/custom-global-colors.spec.ts
@@ -32,10 +32,7 @@ test.describe('Custom Global Color Control', () => {
 			'/wp-admin/post.php?post=1&action=edit&test_name=custom-global-colors'
 		);
 		await clearWelcome(page);
-
-		await page.locator('.block-editor-rich-text__editable').first().click();
-		// use Background color control to open the color picker, available since WP 6.1
-		await page.getByRole('tab', { name: 'Style' }).click();
+		await page.frameLocator('[name="editor-canvas"]').locator('.block-editor-rich-text__editable').first().click();
 		await page.getByRole('button', { name: 'Background' }).click();
 		await page.getByRole('option', { name: 'Color: Custom 1' }).click();
 		await page
diff --git a/e2e-tests/specs/customizer/hfg/hfg-menu-item-description.spec.ts b/e2e-tests/specs/customizer/hfg/hfg-menu-item-description.spec.ts
index afbf8c701c..d5c7552b37 100644
--- a/e2e-tests/specs/customizer/hfg/hfg-menu-item-description.spec.ts
+++ b/e2e-tests/specs/customizer/hfg/hfg-menu-item-description.spec.ts
@@ -28,11 +28,7 @@ test.describe('Menu item description', function () {
 		await page.getByRole('button', { name: 'Add New Category' }).click();
 		await page.goto('wp-admin/nav-menus.php');
 
-		await page
-			.getByRole('heading', {
-				name: 'Categories Press return or enter to open this section ',
-			})
-			.click();
+		await page.getByRole('button', { name: 'Categories' }).click();
 		await page
 			.locator('#taxonomy-category-tabs')
 			.getByRole('link', { name: 'View All' })