Tourtiere recipe with beer (French Canadian meat pie)

Ingredients

• 4 tablespoons (60 ml) breadcrumbs
• 3 teaspoons (15 ml) Dijon mustard
• 2 teaspoons (10 ml) ground cinnamon
• 2 teaspoons (10 ml) ground nutmeg
• 1 teaspoon (5 ml) ground cloves
• 2 teaspoons (10 ml) dried thyme
• 2 teaspoons (10 ml) herbes de Provence
• 2 large onions, finely chopped
• 4 garlic cloves, finely chopped
• 1 lb (500 g) medium ground beef
• 1 lb (500 g) medium ground pork
• 1 lb (500 g) lean ground veal
• Olive oil
• 1 ¾ cup (435 ml) chicken broth
• 1 ¼ cup (310 ml) white beer
• 2 ½ cups (625 ml) russet potato, peeled and grated
• 2.2 lb (1 kg) shortcrust pastry, divided into 4
• 1 beaten egg mixed with 1 tablespoon (15 ml) milk
• Salt and ground pepper