Migrate 'scheduling' e2e tests to Playwright (#57539)

* Migrate 'scheduling' e2e tests to Playwright
* Remove old test file

test/e2e/specs/editor/various/scheduling.spec.js

@@ -0,0 +1,90 @@
+/**
+ * WordPress dependencies
+ */
+const { test, expect } = require( '@wordpress/e2e-test-utils-playwright' );
+
+// The `timezone` setting exposed via REST API only accepts `UTC`
+// and timezone strings by location.
+const TIMEZONES = [ 'Pacific/Honolulu', 'UTC', 'Australia/Sydney' ];
+
+test.describe( 'Scheduling', () => {
+	TIMEZONES.forEach( ( timezone ) => {
+		test.describe( `Timezone ${ timezone }`, () => {
+			let orignalTimezone;
+			test.beforeAll( async ( { requestUtils } ) => {
+				orignalTimezone = ( await requestUtils.getSiteSettings() )
+					.timezone;
+
+				await requestUtils.updateSiteSettings( { timezone } );
+			} );
+
+			test.afterAll( async ( { requestUtils } ) => {
+				await requestUtils.updateSiteSettings( {
+					timezone: orignalTimezone,
+				} );
+			} );
+
+			test( 'Should change publishing button text from "Publish" to "Schedule"', async ( {
+				admin,
+				editor,
+				page,
+			} ) => {
+				await admin.createNewPost();
+				await editor.openDocumentSettingsSidebar();
+
+				const topBar = page.getByRole( 'region', {
+					name: 'Editor top bar',
+				} );
+
+				await expect(
+					topBar.getByRole( 'button', { name: 'Publish' } )
+				).toBeVisible();
+
+				// Open the datepicker.
+				await page
+					.getByRole( 'button', { name: 'Change date' } )
+					.click();
+
+				// Change the publishing date to a year in the future.
+				await page
+					.getByRole( 'group', { name: 'Date' } )
+					.getByRole( 'spinbutton', { name: 'Year' } )
+					.click();
+				await page.keyboard.press( 'ArrowUp' );
+
+				// Close the datepicker.
+				await page.keyboard.press( 'Escape' );
+
+				await expect(
+					topBar.getByRole( 'button', { name: 'Schedule…' } )
+				).toBeVisible();
+			} );
+		} );
+	} );
+
+	test( 'should keep date time UI focused when the previous and next month buttons are clicked', async ( {
+		admin,
+		editor,
+		page,
+	} ) => {
+		await admin.createNewPost();
+		await editor.openDocumentSettingsSidebar();
+		await page.getByRole( 'button', { name: 'Change date' } ).click();
+
+		const calendar = page.getByRole( 'application', { name: 'Calendar' } );
+		const prevMonth = calendar.getByRole( 'button', {
+			name: 'View previous month',
+		} );
+		const nextMonth = calendar.getByRole( 'button', {
+			name: 'View next month',
+		} );
+
+		await prevMonth.click();
+		await expect( prevMonth ).toBeFocused();
+		await expect( calendar ).toBeVisible();
+
+		await nextMonth.click();
+		await expect( nextMonth ).toBeFocused();
+		await expect( calendar ).toBeVisible();
+	} );
+} );