didFinish only fires for cross-document (full page) navigations. After
loading https://claude.ai/login the SPA redirects authenticated users
via history.pushState to /new — this changes the URL visually but never
fires didFinish, so auth was never detected.
KVO on webView.url fires for every URL change including SPA pushState,
covering the case where the app routes client-side after the initial
page load. Both KVO and didFinish now call the same checkCurrentURL
helper so detection is not missed regardless of navigation type.