Place your sheet pan in the preheated oven and set a timer for 30 minutes. You're looking for the edges of the tomatoes to darken (not blacken completely, but definitely caramelized), the mango to take on golden-brown patches, the onion to soften and char slightly at the edges, and the garlic to feel soft when you press it gently.
Don't stir or fuss with anything during this time. Let the oven work its magic. The hands-off approach is what creates those beautiful caramelized flavors. At around the 20-minute mark, if things seem to be browning faster than softening, you can give the pan a quarter turn or loosely cover it with foil, but this is rarely necessary.
You'll know it's ready when the tomato edges look blistered and darkened, the mango's surface shows golden-brown patches, and the garlic feels completely tender. If you poke the tomatoes, they should yield easily to pressure.