Rapid and thick nail growth is also a sign of illness, so it's hard to be sure! People here have chosen to eat every ratio imaginable of animal-to-plant, and all of them are doing better than they were on pizza and soda! So whatever gets your labs looking good, keeps you satisfied belly-wise and nutritionally, and fits your budget is great. That can be done on almost purely animal and almost purely plant, so there is no one right answer.
Steak, eggs, potatoes - fruits, nuts, berries and forage. Coconut milk and potent herbs and spices. Tea instead of coffee now and teeny amounts of kelp daily. Let's see how this does! Not really had dairy much, and gut seems better for it.