In the bowl of a stand mixer, cream butter and sugar with the paddle attachment until light and fluffy, about 3-5 minutes. Add egg and egg yolk, and beat to combine. Mix in vanilla, zest, and brandy.
Add flour and salt and mix on low speed until dough forms. Transfer dough to a piece of plastic wrap. Shape into a disc, cover tightly and refrigerate for at least 30 minutes.
Preheat oven to 375 degrees F. Line 2 baking sheets with parchment paper.
On a floured surface, roll out chilled cookie dough to 1/4-inch thickness. Shape using desired cookie cutter. Transfer to prepared baking sheets and bake 8-10 minutes. Remove from oven and repeat with any remaining dough.
Place cookies on a cooling rack and cool completely before decorating.
To make the glaze, whisk together confectioner's sugar, and water until smooth. Dip cookies into glaze and sprinkle with sanding sugar.
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