Multiple Originators in Memento

I have been given code for a game. My assignment is now have button to save the state of this game and to restore it this saved state. In the code there is a Game Window and there is a Game Engine (main loop and logic).

I want to apply the memento pattern here. Initially, I thought that I could make the game engine the originator since here the references to classes that need to be reset are stored (e.g. Player): in this class is my save memento where I copy the variables and set it in the memento + restores memento where I reset the variables from the memento.

However, in Game Window there now also appears to be some variable stored that I need to save and reset in the Memento. Therefore, I now am wondering if I could have multiple originators: so both classes save to the memento and both restore? I still would have one memento class and one caretaker.

Now, I am wondering if it is possible in the memento pattern to have multiple originators and if this seems like a good design? Or otherwise what are other options I can do?