Preheat oven to 375°F (190°C).

Mix flour, salt, and sugar in a large bowl until well combined.

Add butter and use a pastry blender or fingers to work it into the dry ingredients until the mixture resembles coarse crumbs.

Stir in grated cheese until evenly distributed.

Incorporate eggs and milk, mixing until a shaggy dough forms.

Fold the dough gently until it comes together in a cohesive mass.

Divide the dough into 12 equal portions and shape each into a ball.

Place the balls into a greased 12-cup muffin tin.

Bake for 20-25 minutes, or until the muffins are golden brown.

Remove the muffins from the oven and let them cool in the tin for 5 minutes.

Transfer the muffins to a wire rack to cool completely.