In a medium bowl, whisk together the gluten-free flour, ginger, baking soda, cinnamon, salt, and cloves.
In the bowl of a stand mixer fitted with the paddle attachment, cream together the butter, shortening, and brown sugar until light and fluffy – about 2 minutes.
Next add the molasses, egg, and vanilla. Scrape down the sides of the bowl and mix to combine.
With the mixer on low speed, slowly add the dry ingredients. Mix just until the dry ingredients are combined.
Divide the dough in half and shape each half into a 1” thick disc. Wrap the discs in plastic and place them in the fridge to chill for 30 minutes.
When the dough has chilled, lightly dust your work surface with gluten free flour.
Working one at a time, roll a dough disc until it is ¼” thick. Cut out one pentagon wall, one side wall, and one piece of roof, as well as any additional shapes that will fit (stars, gingerbread men, chimney, etc.)
Transfer the cookies to a parchment lined baking sheet, making sure to leave at least 2” of space between the cookies. Repeat steps 6 and 7 with the second disc of dough – making sure to cut out another pentagon wall, side wall, and roof.
Reroll any unused dough and cut out extra shapes or walls, just in case!
Place the cookies in the freezer to chill for 15 minutes. While the cookies chill, preheat the oven to 350F.
Bake the cookies until they are browned and crisp around the edges. For the big pieces of the house (walls and roof) this will take 20-22 minutes. For the small pieces of the house (chimney, stars, etc.) this takes 12-14 minutes. Allow the cookies to cool completely on the tray before assembling.