There are many opportunities to get the keys for the rooms in the game. Some items are received after exploring certain rooms, some are given as a reward for visiting friends and helping them, others can be gained by exchanging with snatchins or banishing them. Please note, that not all of the items appear immediately - some of them are hard to come by and you should perform game actions several more times. Also you can always buy the items in the shop or before entering the room.
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