At least 1 hour before you’d like to start grilling pizza, prepare the pizza dough: combine the kit contents in a large bowl, seasoning with a pinch of salt. Add in the warm water, stirring until the dough begins to come together. The mixture will be very shaggy & wet. Turn it out on to a lightly floured surface. Knead until the dough comes together in a soft & smooth ball, 2-3 minutes. Transfer to a lightly greased mixing bowl. Cover the bowl with a kitchen towel & set it in a warm place to rise until doubled in size, about 1 hour.
Using a knife or a bench scraper, divide the dough into 3 equal pieces (each approx. 8-10 ounces). Form each piece of dough into a ball, tucking the edges back into the center of itself until a smooth ball forms. Set aside to proof for 5-10 minutes. Roll the dough balls into 10-inch rounds. Lightly brush one side of the prepared crusts with olive oil.
Working 1 crust at a time, set the crust, oiled side down, on the direct heat side of the grill. Close the lid & grill 2-3 minutes. The side of the dough facing up should be slightly puffy with air bubbles, & the side of the dough on the grill grates should be golden brown with nice grill marks. Remove the dough from the grill. If desired, repeat with the remaining prepared crusts. It’s helpful to wait 2ish minutes between crusts to give the grill grates a chance to heat back up.
Transfer the par-grilled crust to a work station – it’s helpful to assemble the pizza on a pizza peel (or cutting board, or something similar) to transfer to the grill with ease. Lightly brush the ungrilled side of the par-grilled crust with olive oil, then flip the crust such that the grilled side is facing up. Assemble your pizza, placing sauce, cheese, & toppings of choice on the grilled side of the par-grilled crust.
Working 1 pizza at a time, transfer the pizza, toppings facing up/oiled side facing down, to the direct heat side of the grill. Close the lid & grill 2-3 minutes. Once the bottom of the crust is golden brown with nice grill marks, carefully transfer the pizza to the indirect heat side of the grill to finish cooking. Close the lid & grill 5 minutes, rotating the pizza halfway through, until the cheese is melted & the toppings are warm. Carefully remove from the grill.