Cook bacon in a large skillet over medium-high heat, turning occasionally, until evenly browned, about 10 minutes. Drain the bacon slices on paper towels. When bacon is cool, crumble and set aside.

Place potatoes into a food processor and process until pureed, 2 to 3 minutes. Transfer to a bowl and stir in flour, eggs, baking powder, and salt to make a sticky dough. Set dough aside.

Fill a large pot about half full of lightly salted water and bring to a boil. Ladle large spoonfuls of the sticky dough to a small cutting board and use a knife to chop the dough into tablespoon-size pieces; as you cut off a piece, drop it into the boiling water. Let the dumplings boil over medium heat until they float, 2 to 3 minutes. Remove dumplings with a slotted spoon to a large serving bowl.

Sprinkle bacon crumbles and a handful of shredded brick cheese over each batch of dumplings; continue to make, boil, and transfer dumplings to the bowl, sprinkling each batch with bacon and brick cheese. When all dumplings are made, gently stir the haluski to mix all ingredients.