feat: implement Codex CLI authentication check and integrate with provider

- Added a new utility for checking Codex CLI authentication status using the 'codex login status' command.
- Integrated the authentication check into the CodexProvider's installation detection and authentication methods.
- Updated Codex CLI status display in the UI to reflect authentication status and method.
- Enhanced error handling and logging for better debugging during authentication checks.
- Refactored related components to ensure consistent handling of authentication across the application.

apps/ui/src/components/views/logged-out-view.tsx

@@ -1,6 +1,6 @@
 import { useNavigate } from '@tanstack/react-router';
 import { Button } from '@/components/ui/button';
-import { LogOut, RefreshCcw } from 'lucide-react';
+import { LogOut } from 'lucide-react';
 
 export function LoggedOutView() {
   const navigate = useNavigate();
@@ -22,10 +22,6 @@ export function LoggedOutView() {
           <Button className="w-full" onClick={() => navigate({ to: '/login' })}>
             Go to login
           </Button>
-          <Button className="w-full" variant="secondary" onClick={() => window.location.reload()}>
-            <RefreshCcw className="mr-2 h-4 w-4" />
-            Retry
-          </Button>
         </div>
       </div>
     </div>