Pass parameter from URL to controller function with correct type in CakePHP

Question

I am developing a RESTful API using PHP 7 and CakePHP 4.0.

<?php

namespace App\Controller\Api;

use App\Controller\AppController;

class ProductsController extends AppController
{
    public function list(int $categoryId, int $limit = 10, int $page = 1)
    {
        // here's my code with queries and so on
    }

}

I would like to call my endpoint with a GET request to this URL:

http://example.com/api/products/list/33/30/1

But I get this error:

Argument 1 passed to App\Controller\Api\ProductsController::list() must be of the type integer, string given, called in /var/www/repo/public/vendor/cakephp/cakephp/src/Controller/Controller.php on line 521

Now, a very simple solution would be to just remove the type from the parameters in the signature of the list method, like this (because, if I just remove the type from the $categoryId parameter, then I get the same error for the other ones):

public function list($categoryId, $limit = 10, $page = 1)

But I'd much rather prefer to keep the "correct" types in my method signature. Am I out of luck here, or is there a way (maybe in the routing configuration, or somewhere else) to prevent Cake (or PHP itself?) to cast the parameters in the URL to string?