Overwriting (AuthO) Vendor package functionality in Laravel

In this file, I would like to overwrite some functionality of the one function in that file:
AuthO Laravel Package

The package is installed as a Vendor package in the application.

I dont want to change any route functionality in the application, and I dont want to fork the package.

The above file/function runs on a callback from AuthO. All this works fine, and I run Log::info() from the file to check that it runs the code. Assume this works as intended in the Vendor package.

I have the following custom provider:

<?php

namespace AppProviders;

use AppServicesAuthOService;
use IlluminateSupportServiceProvider;

class CustomAuthOServiceProvider extends ServiceProvider
{
/**
 * Register services.
 *
 * @return void
 */
  public function register(): void
  {
    // Bind the custom controller to the original controller
    $this->app->bind(Auth0LoginControllersCallbackControllerAbstract::class, AuthOService::class);
  }
}

This is registered is configapp :

..
        'providers' => [
            AppProvidersCustomAuthOServiceProvider::class,
        ]
...

Then I have a service class in AppServices:

<?php

namespace AppHttpControllers;

use IlluminateHttpRequest;
use VendorAuth0LoginControllersCallbackControllerAbstract;
// use Auth0LoginControllersCallbackControllerAbstract;

class AuthOService extends CallbackControllerAbstract
{
    /**
     * Handle the callback from the identity provider.
     *
     * @param IlluminateHttpRequest $request
     *
     * @return IlluminateHttpResponse
     */
    public function __invoke(Request $request): Response
    {
        Log::info('Handling provider callback. test');

        // Change the redirection URL to '/testtest'
        return redirect('/testtest')->intended('/');
    }
}

With all the code implementations above, there are no errors when the application runs.

But the function __invoke is not running, and the Log is not hit in my AuthOService.php.

I have checked the following:

Overwrite Laravel vendor package

Best way to override a class inside a vendor package?

How Can I Override/Change a Vendor Class?

The above links have helped me to be at the current stage of where I am at, but now I am stuck and dont know what to do from here.

How do I overwrite/extend on the specific file mentioned at the top, in a Laravel Application, without forking or changing routes?

What I specifically want to change/overwrite is the exception on line 105:

$exception = new CallbackControllerException(sprintf(CallbackControllerException::MSG_API_RESPONSE, $error, $errorDescription));