Nintendo this week shared a feature on its official website discussing "everything you should know" about this upcoming release and one of the last questions officially acknowledges dungeons in the new game:
Nintendo: "Hold on, there are dungeons in this game?! Yep."
Nintendo elaborates on the dungeons, revealing how players will be required to "explore different rooms, defeat enemies, solve puzzles, find keys, unlock doors, and take on bosses!". So it's definitely sounding like it's got traditional dungeons!