Combine flour, active dry yeast, sugar, and salt (dry ingredients) in a large bowl.
Pour in the warm milk (not hot!) and water, crack in the whole egg, and add the softened butter.
Process into a smooth, soft dough. First, mix the ingredients roughly in a bowl with a wooden spoon, then turn the mass onto a floured surface. Sprinkle a small handful of flour on the side. Start working the dough with your hands, and if it sticks, always 'dip' the dough in the prepared flour. Knead until the dough doesn't stick and is beautifully elastic.
Return the smooth ball of dough to the bowl and cover with cling film. Put it in a warm spot to first-time rise for an hour. The volume of the yeasted dough should double. Halfway through the rising time, knead the dough briefly to support further leavening.
Prepare the pan in which you will bake the paska bread. I used a small 8-inches springform pan. I greased the form lightly with butter and lined its bottom and sides with baking paper. Thanks to the butter, the paper sticks to the sides of the pan and holds nicely.
From the risen bread dough, separate a quantity about the size of an egg. Divide this small egg-sized dough into four pieces and roll each into a thin strand. Twist two of each together, making a simple braid.
Shape the remaining dough into a loaf and place it, seam side down, in the lined tin. Place the prepared braids over the dough in the shape of a cross. Tuck their ends between the loaf and pan’s sides a little.
Cover with a clean kitchen towel and put the prepared paska bread to rise for another hour.
Make an egg wash: Whisk an egg with a fork in a medium bowl and brush the whole surface of the bread, braids included, with it.
Preheat the oven to 356°F / 180°C (upper and lower heat). Transfer the paska bread to a wire rack, close the oven door, and bake for about 25-30 minutes, depending on its size.