Preheat oven to 425°F.
Combine 3 cups of flour, dry yeast, sugar, salt, and garlic powder in a large mixing bowl with dough hook and whisk together.
Combine beer, honey, and 2 Tbsp olive oil; heat until about 125 degrees; immediately pour into dry ingredients in a bowl. Using a fork, mix until well blended. Dough should form a ball and will be slightly sticky. More flour will be added as you knead the dough.
Knead using your mixer with dough hook for about 4 minutes or knead it by hand on a floured surface, adding additional flour from the remaining cup only as necessary, until the dough is smooth and elastic, about 4 minutes.
Let dough rest for 10 minutes, covered and in a warm location.
Separate into 2 or 3 equal pieces depending on the amount of pizza you want to make. One piece will make a 12" pizza.
Grease your preferred baking method with a bit of olive oil. Roll dough on a floured counter to a 12-inch circle and place in greased cast iron skillet (12"), on greased pizza pan or on a baking sheet. Form a rim by pinching the edge of the dough.
Brush the dough with 1 Tbsp of olive oil and if desired, lightly salt the rim.
Add your favorite toppings; you'll need about 2 cups of shredded cheese on the bottom, whatever other toppings you love, and another half cup (or more) cheese to sprinkle on top.
Bake on lowest rack for 12 to 15 minutes, until cheese is bubbly and crust is lightly browned. Remove from oven, let cool for a couple of minutes, then slice and serve.