For the dough:
1 cup warm water (not hot or boiling)
2 teaspoons active dry yeast
1 1/2 cups whole wheat flour
1 1/2 cups all-purpose flour
1 1/2 teaspoons salt
3 tablespoons olive oil, divided

For the filling:
3 small sweet potatoes, scrubbed clean
2 tablespoons olive oil, divided, plus more for brushing
1 onion
2 cloves garlic, minced
1 teaspoon ground cumin
1/2 teaspoon ground cinnamon
1/2 teaspoon ground allspice
1/2 cup French green (Puy) lentils, picked over and rinsed
2 cups water
1/2 bunch kale, tough ribs and stems removed
1/2 teaspoon salt