Wash your bell peppers and carrots carefully, then cut each pepper into quarters and remove the seeds, and peel the carrots and cut them in half. Peel the garlic and onion, and cut the onion into 3 or 4 chunks.
Arrange the pepper pieces, carrots, onion & garlic cloves in your air fryer and drizzle or baste everything with the olive oil or ghee (I don't recommend using coconut oil), cooking them in 2 batches if needed. I tried to flash-roast the bell peppers on the burner's open flame, and then to cook everything in my oven on convection, but that was an utter disaster, so I highly recommend sticking with an air fryer.
No need to preheat the air fryer, but just put everything in and set it to 380°F (195°C) and roast for 15 minutes, taking out the garlic after the first 8-10 minutes, once it’s fully browned.
While your vegetables are roasting, measure out the capers, oregano, sumac, salt, and fresh basil. You’ll want to wash the basil leaves before pulling them off. This is also a good time to take out or prepare your pizza dough, or even clean the kitchen!
After the peppers are roasted, allow them to cool for 10-15 minutes and then cut them into 1-inch pieces if they're not softened enough for the food processor.
Add one or two pepper pieces to the food processor, then add in the capers, oregano, sumac, salt, and basil, and blend it all together until a smooth paste. Add one more pepper piece if the mixture won't smooth out.
Once you have your paste, add in the rest of your peppers, carrots, onion, garlic, and any olive oil left in the air fryer to your food processor, then blend until smooth or a little chunky, depending on how you like your nomato sauce. Your pizza sauce is now all ready to be added to pasta or a pizza and baked a bit further!