In stand mixer bowl, add 1 cup flour, yeast, sugar, salt and cardamom; mix well. In saucepan or microwave-safe dish, heat milk, water to 120-130°F. Add warm milk/water and butter to flour mixture. Blend with paddle attachment on low speed for 30 seconds; beat on medium speed for 4 minutes.. Add eggs; beat on medium speed for 1 minute.
Switch to dough hook attachment. Gradually stir in enough remaining flour to make a firm dough. Knead until smooth and elastic, about 5 to 7 minutes.(NOTE: For hand mixing: following above steps, mix ingredients in large mixing bowl using a wooden spoon or dough whisk. Knead on floured surface until smooth and elastic.)
Place dough in lightly oiled bowl and turn to grease top. Cover; let rise until indentation remains after poking dough with finger down to second knuckle, about 1 hour.
Turn dough onto lightly floured surface; punch down to remove air bubbles. Divide dough into 3 equal pieces. Roll each piece into a 16-inch rope; line up ropes one inch apart on a greased cookie sheet. Braid loosely; pinch ends together and tuck under. Cover; let rise until indentation remains when lightly touched with finger.
Preheat oven to 375ºF ,
Brush risen dough with 1 to 2 tablespoons of milk and sprinkle with 1 tablespoon sugar. Bake for 20 to 25 minutes. Cool on wire rack.
Get Bread Machine Method here.Photo by Matt Weber.