Cheddar Pie Crust via Martha Stewart

1 1/4 cup flour
1/2 teaspoon coarse salt
1/2 teaspoon freshly ground pepper
1/2 cup (1 stick) frozen butter
1/2 cup shredded cheddar
1/4 cup ice water
Beef and Beer Pie Filling

1 tablespoon butter
1/4 onion, diced
1 clove garlic, minced
1/4 pound ground beef
1 small carrot, diced
1/2 small potato, peeled and diced
2 tablespoons frozen peas, thawed
1 1/2 tablespoons flour
1/2 cup of your favorite beer
2 tablespoons tomato paste
salt and freshly ground pepper to taste
pinch of sugar
1 egg, lightly beaten mixed with a splash of water