Cut the Vermont Creamery Unsalted Cultured Butter into 1- to 1½- inch pieces and place them in a small bowl. Freeze while you prep the rest of the ingredients.
In the bowl of a stand mixer fitted with the paddle attachment, combine the flour, sugar, and salt. Beat on low until just combined, about 15 seconds. Add the butter all at once and beat on low until the dough starts to resemble coarse meal, with pea-sized pieces of butter throughout, about 3 minutes. Increase the mixer to medium and beat until the dough clumps around the paddle and/or the sides of the bowl, 2 to 3 minutes. If necessary, use a mixer cover (or throw a towel over the mixer bowl) while beating to prevent any pieces of dough from shooting out of the bowl.
Tip the dough out onto a piece of parchment paper around the size of a half sheet pan and use your hands to shape it into a roughly 6-inch square. Place a second sheet of parchment over the dough, creating a parchment sandwich with the dough in the middle. Use a rolling pin to flatten the dough between the parchment sheets, working from left to right. Turn the dough 90 degrees and repeat every so often—doing so will help prevent the dough from cracking as you roll it. If the parchment starts to wrinkle and leave creases in the dough, pull the sheet loose and smooth it before rolling the dough more. Continue rotating and rolling until you have a slab of dough around ¼ inch thick—the shape and the size of the slab doesn’t matter, since you’ll be using a cookie cutter to stamp out shapes.
Remove the top layer of parchment. Press a bench scraper against the sides of the dough to create straight edges. Transfer the slab of cookie dough, still on the bottom layer of parchment, to a half sheet pan. Cover with the top layer of parchment once more and freeze for 20 minutes.
Position a rack in the center of the oven and preheat the oven to 350°F.
Remove the sheet pan of dough from the refrigerator. Use the overhanging parchment as handles to carefully lift the slab of dough off the sheet pan and onto a cutting board. Peel the top layer of parchment from the slab and use it to line the sheet pan once more. Line a second half sheet pan with parchment as well.
Use a 2 ½-inch round cookie cutter to stamp out cookies, placing the cookies on the lined sheet pans at least 2 inches apart. The dough should still be cool and firm to the touch. If not, chill both sheet pans in the freezer for at least 10 minutes before baking. Gather and reroll the scraps, repeating the process to stamp out cookies as many times as necessary.
Bake one pan at a time (keeping the other pan in the refrigerator) for 15 to 17 minutes, or until the edges of each cookie are pale golden brown with small hairline cracks visible on their surfaces. Cool the cookies on the pan on a wire rack completely before glazing.