Lemon Blueberry Cake

Name: Lemon Blueberry Cake
Prep time: 30 min
Cook time: 55 min
Total time: 1 h 25 min
Cuisine: American
Ingredients: 2 tbsp butter (for the Bundt pan); 2 tbsp all purpose flour (for the Bundt pan); 1 cup butter (cold, diced into 1/2" cubes); 2 lemons (zest and juice); 1 cup milk (see notes below); 3 large eggs; 2 tsp vanilla; 4 cups all-purpose flour; 2 tsp baking soda; 1 tsp salt; 1/2 cup granulated sugar; 1/2 cup brown sugar (firmly packed); 1 pint blueberries (see notes below); 1 1/2 cups powdered sugar; 1 lemon (juice only); 1 tsp vanilla; 2 tbsp milk (or heavy cream, read the recipe, you need 1-2 tbsp to thin the icing)