Heat olive oil in a Dutch oven over medium-high heat. Add onion, carrot, celery, and garlic; sauté 15 minutes or until tender. Stir in wheat berries; sauté 2 minutes. Add 4 cups water and broth; bring to a boil. Partially cover, reduce heat, and simmer 1 hour.
Stir in sun-dried tomatoes, 2 teaspoons cumin, and beans. Remove 1 1/2 teaspoons adobo sauce from can of chipotle chiles; reserve remaining chipotle chiles and adobo sauce for another use. Add adobo sauce to onion mixture; simmer 30 minutes or until wheat berries are tender. Combine remaining 1/3 cup water and tomato paste in a bowl, stirring with a whisk. Add tomato paste mixture to onion mixture. Simmer for 15 minutes.