New Input System local multiplayer

Hi. I use the Player Input Manager and I have set the Start button on the controller as the Join action. I reference it in the Player Input Manager to join in multiple controllers. I created a Player prefab where I use the Player Input component, in which I use the Input Actions prefab.

When I press START on my second controller, nothing happens. From my testing - if I reference the action, only one player can spawn. If I set the button right in the Player Input Manager, it works as intended => but that solves only the joining part of controller.

How do I set, that every player uses a different instance of the Input Action asset? I think it uses the same one instance, that's why it doesn't recognize the second controller.

Photos