1To make the dough, put the flour, yeast, sugar and salt in the bowl of a stand mixer. Using the dough hook, mix to combine. Add the oil and water, and mix on medium-low speed for 5 minutes until the dough is smooth and elastic. (Alternatively, combine the dry ingredients in a bowl. Add the oil and water and mix until the dough comes together, add an extra tablespoon of water if necessary. Turn the dough out onto a lightly floured surface and knead for 10 minutes until smooth and elastic.)
2Put the dough in a lightly oiled bowl, cover with plastic wrap and set aside in a warm place for 1 hour or until the dough doubles in size.
3Turn the dough out onto a lightly floured surface and punch down to remove the excess air. Knead the dough into a smooth ball. Divide into three, 8 ¾-oz pieces.
4To make the topping, preheat the oven to 450°F. Arrange the heirloom and cherry tomatoes in a greased roasting pan in a single layer. Sprinkle with the thyme leaves, sugar and season with salt and pepper. Spoon over 2 tablespoons of the oil. Roast for 8-10 minutes until the tomatoes start to colour but still hold their shape. Set aside to cool.
5To make the pizza, turn the ON/OFF switch to the ON position and PREHEAT the pizza oven for 15 minutes.
6Roll out each piece of pizza dough to form a 9 ½-inch round and place each on a 11 ¾-inch square piece of parchement paper.
7Prick the crusts with a fork or pizza docker.
8Spread 1 teaspoon of the remaining oil over each pizza crust. Divide the toppings evenly among the crusts.
9Select the CLASSIC crust setting.
10Transfer one of the pizzas (still on the parchment paper) to the hot pizza stone and close the lid. Cook for 2 minutes.
11Open the lid and quickly slide the parchment paper out carefully. Close the lid and cook for a further 7-8 minutes or until browned. Monitor the cooking progress through the viewing window. Topping should be cooked and golden and crust crisp and brown.
12Open the lid carefully with oven mitt and transfer the pizza to a cutting board.
13Repeat with the remaining pizzas.
14Drizzle with extra olive oil, season with salt and pepper and garnish with basil leaves. Slice and serve.