Baked Bean Pasties

Name: Baked Bean Pasties
Ingredients: 1 Tbsp. (½ oz.) unsalted butter; 1 small onion, halved and thinly sliced (1⅓ cups); 2 thick slices English-style bacon or ham, finely diced (⅓ cup); 1 medium carrot, peeled and finely chopped (¼ cup); 7 oz. (¾ cup) canned baked beans; Kosher salt; 1½ cups (4 oz.) coarsely grated mild white cheddar cheese; Freshly ground black pepper; All purpose flour for rolling the dough; 14 oz. prepared pie dough (store bought or homemade), softened slightly; 1 large egg, lightly beaten