4 pounds beef chuck, trimmed of excess fat and cut into 1 1/2-in. pieces
6 tablespoons plus 2 cups all-purpose flour
3 3/4 teaspoons salt
1 teaspoon freshly ground black pepper
2 tablespoons vegetable oil
2 bottles (12 oz. each) ale
2 large onions, thinly sliced
8 ounces mushrooms, trimmed and quartered
3 large carrots, peeled, halved lengthwise, and cut into 1-in. lengths
1/2 cup thinly sliced green onions (green part only)
1/2 teaspoon baking soda
4 1/2 tablespoons cold butter, cut into small pieces
About 3/4 cup buttermilk
1 egg