Earl Grey Tea Cakes

Name: Earl Grey Tea Cakes
Prep time: 30 min
Cook time: 1 h
Total time: 1 h 30 min
Cuisine: European, British
Ingredients: 2/3 cup milk; 5 Earl Grey tea bags; 7 ounces unsalted butter; 1 cup sugar; 1 teaspoon vanilla; 3 eggs, at room temperature; 2 cups all purpose flour; 1 teaspoon lemon zest, finely grated; 1 1/3 baking powder; 1 1/2 cups icing sugar; 3/4 ounces butter; 3-4 tablespoons Earl Grey tea (strongly steeped); 1-2 drops of purple food coloring (for a lilac color)