Heat the oven to 425°F (220°C). Line a baking sheet with parchment.
In a large bowl, whisk the tapioca starch, baking powder, and salt until evenly combined.
Add the grated queso menonita cheese and toss to coat it in the starch mixture.
Add the egg and milk; mix with your hand until a soft, smooth dough forms that is moist but not sticky, kneading briefly (1–2 minutes) to fully hydrate—add only as needed to reach this texture.
Pinch off 16 equal portions (about 1.5 tablespoons each), roll into balls, and gently flatten to about 0.5 inch thick and 2–2.5 inches wide.
Arrange on the prepared sheet, spacing slightly, and bake until puffed with light golden spots and hairline cracks on top, 12–16 minutes; the bottoms should be lightly golden and sound hollow when tapped.
Cool 5 minutes on the sheet and serve warm while the centers are chewy and the edges delicate and crisp.