Knead the ingredients for the dough together and chill for 30 minutes.
Roll out the dough into a rectangle of about 45 cm. Beat 1 whole egg with 1 egg white, 1/2 egg yolk and the sugar until frothy, then add the nuts and water to make a smooth mixture. Spread the mixture evenly on the dough with a knife. Roll up the dough from the longer side and place it in a semicircle on a baking sheet with the open side down. The remaining 1/2 egg yolk with 1 tablespoon. Whisk the milk and brush the wreath with it. Cut diagonally with a knife at even intervals ½ cm deep.