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No, Minecraft Dungeons is an entirely different game with different textures and items. Blocks and props were specifically made for the levels and will most likely not be in Vanilla. There is a small chance a few blocks might make it to Vanilla, but not all of them.
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Replying to @JasperBoerstra and @ChrisNordgren
Will Minecraft Dungeons textures be released as a separate resource pack for Minecraft Bedrock/Java?