Usually when 3.8+ students are denied admission it has more to do with their ecs/essays. Haas wants students who are more than just a nice gpa. They are looking for students who are going to contribute to the diversity of the campus and take advantage of everything the school has to offer.
You didn’t mention your ecs/essays but as long as those are impressive/strong you should be fine.
I’m a haas hopeful and your gpa is much higher than mine, hope to see you in the fall