Broccoli Rabe with White Beans and Preserved Lemon

Name: Broccoli Rabe with White Beans and Preserved Lemon
Ingredients: 1⁄4 cup plus 2 Tbsp. extra-virgin olive oil, divided, plus more for drizzling; 2 medium shallots, quartered and sliced ¼-inch-thick (¾ cup); 4 large garlic cloves, thinly sliced (3 Tbsp.); 1 tbsp. plus 1½ tsp. chopped preserved lemon; 1⁄4 tsp. chile flakes; 1 lb. broccoli rabe, stems trimmed (8 cups); 1 1⁄2 cups chicken or vegetable stock; One 15-oz. can cannellini beans, drained and rinsed (1½ cups); 1-2 tbsp. fresh lemon juice, divided; 1⁄4 cup Parmigiano-Reggiano, shaved into wide ribbons with a vegetable peeler; Kosher salt; Freshly ground black pepper