refactor(e2e): migrate all tests to Playwright Test

tests/e2e/health.spec.js

@@ -0,0 +1,11 @@
+// @ts-check
+const { test, expect } = require('@playwright/test');
+
+test.describe('Health endpoint', () => {
+  test('returns OK status', async ({ request }) => {
+    const resp = await request.get('/health');
+    expect(resp.ok()).toBe(true);
+    const body = await resp.json();
+    expect(body.status).toBe('ok');
+  });
+});