React app login with code grant silently fails when public client option is not enabled

### Description

When the code grant is enabled without the public client option is enabled, the react application login silently fails because the token calls sent after the user is authenticated fails with the following error. Initiating signing in again in the same tab also redirects the user to same callback URL.

### Steps to Reproduce

The following screencast shows this erroneous behaviour.

https://github.com/user-attachments/assets/5f73e716-603f-4885-a764-9b775005342a

### Please select the area the issue is related to

@asgardeo/express, @asgardeo/react

### Version

latest

### Environment Details (with versions)

_No response_

### Reporter Checklist

- [x] I have searched the existing issues and this is not a duplicate.
- [x] I have provided all the necessary information.
- [x] I have tested the issue on the latest version of the package.

Empieza reproduciendo el fallo mostrado en el screencast con los paquetes @asgardeo/express y @asgardeo/react, y después rastrea las llamadas de login y token realizadas tras la autenticación. Se considera completado cuando el login tiene éxito al habilitar code grant sin la opción public client, y volver a iniciar sesión en la misma pestaña no redirige a la misma URL de callback.

Escrito por el modelo de indexación a partir del texto del issue.