test: exclude static-test from auth, add nav link for e2e verification

Author: konokenj

webapp/src/app/sign-in/page.tsx

@@ -30,6 +30,9 @@ export default function SignInPage() {
 
       <footer className="mt-8 text-center text-sm text-gray-500">
         <p>© {new Date().getFullYear()} Todo App. All rights reserved.</p>
+        <Link href="/static-test" className="text-indigo-600 hover:text-indigo-500">
+          Static Test Page
+        </Link>
       </footer>
     </div>
   );

webapp/src/proxy.ts

@@ -35,6 +35,6 @@ export const config = {
      * - _next/image (image optimization files)
      * - favicon.ico (favicon file)
      */
-    '/((?!api|_next/static|_next/image|favicon.ico|sign-in).*)',
+    '/((?!api|_next/static|_next/image|favicon.ico|sign-in|static-test).*)',
   ],
 };