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A stats screen in our Collection so it’s easier to collect every disc – this could be a need-to-acquire list or missing discs could be seen as grayed over, and unselectable, or even numbers that you have X of the total attribute combinations for a specific disc or x/x discs in the game (you have 104/500 discs)
Similar and also very helpful: Level Up Rewards could notify players of discs not already in their collection. There could be different “stickers” for discs that are completely new or just a different color – “New” and “Alt,” perhaps?