How to Switch Dependency Based on the Request in Laravel Using Dependency Injection?

I want to switch the payment gateway based on the user's request. I don't want multiple endpoints for each gateway, so i'm trying write one endpoint that handles multiple payment gateways. With that, I also want the controller __construct method to use dependency injection using a gateway interface. The issue i'm running into is switching the instantiated class to match the payment gateway from the request.

use App\PaymentGatewayInterface

class XYZController {
  
  ...

  public __construct(PaymentGatewayInterface $payment_gateway) {
    $this->payment_gateway = $payment_gateway; //This should be a gateway instance of either Paypal, Stripe, Braintree, etc based on the $request of the user.
  }
  
  ...
}

I know I can bind an interface to a class in the register() method of a provider and add some logic there, but I can see myself adding a lot of interface dependencies in the controller actions and I feel that having logic in the service provider can become messy rather quick. Example:

...
class AppServiceProvider extends ServiceProvider
{
  public function register()
  {
    if(request()->input('gateway') === "Paypal")
      $this->app->bind(PaymentGatewayInterface::class, PaypalGateway::class);
    else
      $this->app->bind(PaymentGatewayInterface::class, StripeGateway::class);
  }
}