Mix the atta, semolina, rice flour, ajwain, sugar and salt in a bowl. Mix in the ghee with a spoon until the mixture is crumbly. Add the water and knead with your hands to make a tight dough. Add a little more water, 1 teaspoon at a time, if needed. Cover the dough with a damp cloth and set aside for 15 minutes.
Knead the dough again for a minute and then divide into 4 lemon-size balls. Using a rolling pin, roll each ball into a 4-inch disk (if the dough is sticky, rub a little bit of oil on it to prevent it from sticking).
Fill a Dutch oven or other pot with 3 inches of oil and heat over medium heat to 350˚ F. Slip a disk of dough into the hot oil. Press down gently with a slotted spoon or a spider and fry until the poori puffs up, 30 seconds to 1 minute. Flip the poori over and fry on the other side until golden brown, another 30 seconds to 1 minute. Drain the poori on a plate lined with a kitchen towel. Repeat with the remaining dough.
Hot oil is critical for getting this fried bread to puff up. Maneet recommends using an oil thermometer.