Game is not saving at all on PS5 again

The game is not saving.

I tried to install the game new; clear my PS5 cache, deleted the savegame and it still does not save the game.

Ohh and yes, i have more then enough space for the save file. And the game is ofcourse on the latesrt Update.

Iam at a loss right now, i bought the new DLC and cant even play it, because the game does not save the game.

All is reset (to the former save state) if i close the game and re-open it.