Preheat the oven to 500°F (260°C). Line a 13x18x1-inch baking sheet with parchment paper.
In a large bowl, combine the tapioca starch, milk powder, salt, anise seeds, and baking powder. Mix well.
Make a well in the center and add the softened butter and eggs. Using your fingers, cream them together until smooth and creamy.
Gradually incorporate the dry ingredients by hand until a coarse, crumbly mixture forms.
Mix in the cheeses until fully combined.
Pour in the buttermilk a little at a time, kneading the dough in the bowl just until it comes together into a soft and smooth dough—similar in consistency to play dough.
Cover the dough with plastic wrap and let it rest for 10-15 minutes.
Meanwhile, in a medium bowl, mix the cream cheese with the remaining 100 g of shredded cheese to make the filling.
Divide the dough into equal portions (about 125 g each). Flatten each portion into a 4-inch disk.
Add a tablespoon of the cheese filling to the center of each disk. Fold the edges over the filling and pinch to seal, then gently flatten each piece to about 1 inch thick.
Alternative method: Instead of sealing the dough, form a small well in the center of each disk, spoon in the cheese filling, and sprinkle a little extra on top.
Arrange the filled chipas on the prepared baking sheet, spacing them about 1 inch apart.
Bake for 15–17 minutes or until golden with cheesy spots on top.
Let cool slightly before serving. Best enjoyed warm!