Solution

One common solution for both cases would be creating a real factory instead of the auto-generated class.

Or there is a particular solution for each case.

Case 1 specific solution

Move your class code from the entry point to a separate module and then use it in the entry point.

Example

Original code in, for example, index2.php :

<?php
use YourVendor\SomeModule\Model\GeneratedFactory;

require realpath(__DIR__) . '/../app/bootstrap.php';
$bootstrap = \Magento\Framework\App\Bootstrap::create(BP, $_SERVER);

class SomeClass
{
    private $generatedFactory;

    public function __construct(GeneratedFactory $generatedFactory)
    {
        $this->generatedFactory = $generatedFactory;
    }

// Some code here...
}

$someObject = $bootstrap->getObjectManager()->create(SomeClass::class);

// There is some code that uses $someObject

You need to take the following steps:

  1. Move the class definition to app/code/YourVendor/YourModule:

       <?php
        namespace YourVendor\YourModule;
        use YourVendor\YourModule\Model\GeneratedFactory;
        class YourClass
        {
            private $generatedFactory;
    
            public function __construct(GeneratedFactory $generatedFactory)
            {
                $this->generatedFactory = $generatedFactory;
            }
        // Some code here...
        }
    
  2. Edit the entry point my_api/index.php so that it looks like following:

      <?php
      use YourVendor\YourModule\YourClass;
          require realpath(__DIR__) . '/../app/bootstrap.php';
          $bootstrap = \Magento\Framework\App\Bootstrap::create(BP, $_SERVER);
          $someObject = $bootstrap->getObjectManager()->create(YourClass::class);
      // Some code using $someObject