Warm the milk, mix with a teaspoon of sugar, and crumble in the yeast. Let it stand for 10 minutes, until foamy.
In a large bowl, combine the flour, salt, and remaining sugar.
Add the yeast mixture, eggs, and vanilla extract. Start kneading the dough.
Gradually knead in the melted butter, then continue kneading for 10-15 minutes, until the dough is smooth and elastic.
Cover the dough and let it rise in a warm place for about 1.5 hours, or until doubled in size.
On a lightly floured surface, roll out the dough into a rectangle and sprinkle with the chopped chocolate and cinnamon.
Roll the dough up tightly, then cut it in half lengthwise and braid the two strands together.
Place the braided dough in a loaf pan lined with parchment paper, cover, and let it rise for another 30 minutes.
Preheat the oven to 350°F (180°C) and bake the babka for 30-35 minutes, until golden brown.
Let it cool completely before slicing and serving.
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