In a stand mixer bowl, combine ½cup flour, sugar, salt, and quick rise yeast.
In a small saucepan combine milk, water, and butter. Heat until butter is just melted. If it is too hot to the touch allow to cool a bit.
Begin mixing dry ingredients, then add the warm liquid in slowly. Scrap bowl and mix on medium speed for 2 minutes.
Add eggs, lemon extract and ¼ cup flour to mixture. Continue to beat at medium speed for 1 minute.
On low speed, add the remaining flour, until it becomes elastic. Add more flour if needed to bring the dough to this consistency.
Form dough into a ball and place in a lightly greased bowl. Cover with a towel and allow to rise for 1-1½ hours. It should double in size.
Divide dough into 3 even pieces, then roll out on a lightly floured board until they are about 20 inches in length. Braid, pinching ends together, and place on a lightly greased baking sheet.
Allow braid to rise for about 1 hour. Preheat oven to 350˚F.
Brush braid lightly with 1 Tablespoon milk.
Bake for 20-25 minutes, until the braid becomes golden brown. Remove from oven and cool on rack.