Fix flaky shopper checkout block creating user with custom password e2e test (#49596)

plugins/woocommerce/changelog/e2e-fix-shopper-checkout-block

@@ -0,0 +1,4 @@
+Significance: patch
+Type: dev
+
+E2E tests: fix shopper checkout block test

plugins/woocommerce/tests/e2e-pw/tests/shopper/checkout-block.spec.js

@@ -18,7 +18,12 @@ const {
 const { getOrderIdFromUrl } = require( '../../utils/order' );
 
 const guestEmail = 'checkout-guest@example.com';
-const newAccountEmail = 'marge-test-account@example.com';
+const newAccountEmail = `marge-${ new Date()
+	.getTime()
+	.toString() }@woocommercecoree2etestsuite.com`;
+const newAccountEmailWithCustomPassword = `homer-${ new Date()
+	.getTime()
+	.toString() }@woocommercecoree2etestsuite.com`;
 const newAccountCustomPassword = 'supersecurepassword123';
 
 const simpleProductName = 'Very Simple Product';
@@ -135,22 +140,6 @@ test.describe(
 			await api.put( 'payment_gateways/cod', {
 				enabled: true,
 			} );
-			// make sure there's no pre-existing customer that has the same email we're going to use for account creation
-			const { data: customersList } = await api.get( 'customers', {
-				email: newAccountEmail,
-			} );
-
-			if ( customersList && customersList.length ) {
-				const customerId = customersList[ 0 ].id;
-
-				console.log(
-					`Customer with email ${ newAccountEmail } exists! Deleting it before starting test...`
-				);
-
-				await api.delete( `customers/${ customerId }`, {
-					force: true,
-				} );
-			}
 			// make sure our customer user has a pre-defined billing/shipping address
 			await api.put( `customers/2`, {
 				shipping: {
@@ -240,7 +229,10 @@ test.describe(
 			await api.get( 'customers' ).then( async ( response ) => {
 				for ( let i = 0; i < response.data.length; i++ ) {
 					if (
-						response.data[ i ].billing.email === newAccountEmail
+						[
+							newAccountEmail,
+							newAccountEmailWithCustomPassword,
+						].includes( response.data[ i ].billing.email )
 					) {
 						await api.delete(
 							`customers/${ response.data[ i ].id }`,
@@ -981,9 +973,11 @@ test.describe(
 
 			// For flakiness, sometimes the email address is not filled
 			await page.getByLabel( 'Email address' ).click();
-			await page.getByLabel( 'Email address' ).fill( newAccountEmail );
+			await page
+				.getByLabel( 'Email address' )
+				.fill( newAccountEmailWithCustomPassword );
 			await expect( page.getByLabel( 'Email address' ) ).toHaveValue(
-				newAccountEmail
+				newAccountEmailWithCustomPassword
 			);
 
 			// fill shipping address and check cash on delivery method
@@ -1020,7 +1014,9 @@ test.describe(
 
 			// Log in again.
 			await page.goto( '/my-account/' );
-			await page.locator( '#username' ).fill( newAccountEmail );
+			await page
+				.locator( '#username' )
+				.fill( newAccountEmailWithCustomPassword );
 			await page.locator( '#password' ).fill( newAccountCustomPassword );
 			await page.locator( 'text=Log in' ).click();
 			await expect(