Another limited time event is on the way to Pokémon Sleep with Buncha Berries Week Part 2 set to run from May 11 to May 18, bringing themed bonuses and increased berry focused activity for players. Separately, Tyrunt and Tyrantrum will be added to the game starting May 11, expanding the roster of Pokémon available for sleep research. The update splits its focus between limited time rewards and permanent additions, giving players both short term goals and new encounters to look forward to.
Source: Official Pokémon Sleep news and PokemonSleep.net
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