Baked Rice and Vegetables in Broth

¾ cup uncooked long-grain rice

1 tablespoon uncooked wild rice

¼ cup uncooked brown rice

¼ cup sliced fresh mushrooms

¼ chopped fresh broccoli

¼ cup chopped carrots

¼ cup chopped red bell pepper

¼ cup finely chopped onion

1 teaspoon salt

1 teaspoon dried onion flakes

1 teaspoon paprika

¼ teaspoon black pepper

2 ½ cups vegetable broth