How deal with a failed login session

Suppose you leave your desk with your app left open. You return and now the session has died giving you an error. OK, so first, you need to be redirected to the login page and second, on the login page be given an alert that the session has died.

I have managed to get the first part done. That works, but the second part has me messed up. I can not get a session message out on the Blade page. It's been ages since using sessions and I'm doing something stupid for sure:

This middleware checks the session is valid.

 ->withMiddleware(function (Middleware $middleware) {
        $middleware->redirectGuestsTo(fn () => route('login'));
        $middleware->redirectUsersTo(AppServiceProvider::HOME);

        $middleware->web(\App\Http\Middleware\HandleInertiaRequests::class);
        $middleware->web(\App\Http\Middleware\HandleTokenMismatch::class);   <=== HERE! 

        $middleware->throttleApi();
    })

class HandleTokenMismatch
{
    
    public function handle($request, Closure $next)
    {
        try {
            return $next($request);
        } catch (TokenMismatchException $e) {
            session(['session_error' => 'Your session has expired. Please log in again']);
            return redirect()->route('login');
        }
    }
}

The route login goes to the LoginController which delivers

 public function showLoginForm(Request $request)
    {
        if (Auth::check()) {
            redirect()->route('admin');
        }
        $session = $request->session->get('session_error');
        return view('auth.login', compact('session'));
    }
}

The Login View:

  @if (session('session'))
                    <div class="alert alert-info">
                        {{session('session')}}
                    </div>
    @endif