test(e2e): assert the submitted registration becomes publicly visible (refs #10)

Extend the walking-skeleton happy path: after the self-service submit + confirmation,
open the anonymous openbaar register portal and poll (reload) until the submitted
INGEDIEND entry appears — completing submit → BFF → domain → projection → public
visibility. Verified the openbaar portal renders the public-safe register (id+status,
no bsn) against a real BFF + stub projection.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

tests/e2e/registration.spec.ts

@@ -1,8 +1,9 @@
 import { expect, test } from '@playwright/test';
 
-// Walking-skeleton happy path (S-08d): a zorgprofessional logs in via mock DigiD and submits a
-// registration through the self-service portal → BFF → domain. The confirmation shows the reference.
-test('DigiD login → submit → confirmation', async ({ page }) => {
+// Walking-skeleton happy path (S-08d + S-09): a zorgprofessional logs in via mock DigiD and submits a
+// registration through the self-service portal → BFF → domain; the projection is updated via NRC → the
+// event-subscriber, and the entry becomes publicly visible in the openbaar register portal.
+test('DigiD login → submit → confirmation → public visibility', async ({ page }) => {
   // Visiting the guarded page redirects to the Keycloak (mock DigiD) login.
   await page.goto('/');
 
@@ -18,4 +19,16 @@ test('DigiD login → submit → confirmation', async ({ page }) => {
 
   // The BFF accepted it and the page shows the confirmation.
   await expect(page.getByText(/ontvangen/i)).toBeVisible();
+
+  // The openbaar register (anonymous, its own origin) shows the submitted entry once the projection
+  // catches up. The projection updates asynchronously (NRC → event-subscriber), and the register loads
+  // on open, so reload until a submitted (INGEDIEND) row appears.
+  await page.goto('http://openbaar/');
+  await expect(page.getByRole('heading', { name: /Openbaar BIG-register/i })).toBeVisible();
+  await expect
+    .poll(async () => {
+      await page.reload();
+      return page.getByRole('cell', { name: 'INGEDIEND' }).count();
+    }, { timeout: 30_000, intervals: [1_000, 2_000, 3_000, 5_000] })
+    .toBeGreaterThan(0);
 });