Hey!
It will be a good idea to add a single game where there is a chance to get ordinary cards and you will be able to test your skills on bots. You have already mentioned everyday tasks, missions or events. The game is aimed on rivalry but you can add an event where all players have to join forces to defeat a cataclysm or a giant monster. For saving the world each person would get something from the prize pool or boosters. What do you and others think about it?