Wait for personal-wp address bar readiness

[ashfame]

Summary

• Make the personal-wp Playwright page helper wait for the toolbar address bar to contain a WordPress path after the nested WordPress iframe body has loaded.
• This avoids the flaky race where the address bar update handler can run before BrowserChrome has re-rendered with live clientInfo.
• Scope is limited to personal-wp Playwright readiness. Database/MySQL fixes and PR Fix saved SQLite site boot #3588 saved-site SQLite work are intentionally out of scope.

Validation

• PASS: npm exec nx lint playground-personal-wp
• PASS: npm exec nx typecheck playground-personal-wp
• BLOCKED LOCALLY: npm exec nx run playground-personal-wp:e2e:playwright -- packages/playground/personal-wp/playwright/e2e/ui.spec.ts
  • The default Playwright web server could not start because this environment does not have a php binary for playground-php-cors-proxy:start.
  • Retried against directly started Vite servers with CORS_PROXY_URL=; Playwright reached Chromium launch, but Chromium could not start because libatk-1.0.so.0 is missing.
  • No Playwright assertions executed locally. CI should perform the actual e2e validation.

[akirk]

@ashfame I'm removing the addressbar in personal-wp im #3601, I guess this could then be just closed.

[ashfame]

@akirk I think we would need to change the approach but still need a fix for the flakiness.

[akirk]

The address bar has been removed, there is no this.addressBar()