Add the yeast to the lesser amount of milk and let it sit for 1o minutes to activate the yeast
Add the sugar, eggs, and vanilla extract and mix well
On a separate bowl sift the flour and add the salt
Add the flour to the wet ingredients, combine until you don't see dry flour particles, and let it rest 20-30 mins (autolysis)
Knead the dough until it's elastic, shiny and covered with small blisters. It should pass the windowpane test.
Let the dough ferment until it doubles in size and it's puffy
Deflate the dough well and divide it in 2 equal pieces
Roll one piece into a 12 x 17 in a rectangle. Spread the filling and roll the dough into a log
Cut the log lengthwise and twist each strand
Grease a 9in loaf pan and place the babka inside. Let it proof until the dough reaches the edges of the pan
Turn your oven on at 335F
Brush the babka with the leftover egg white and bake it for 45 minutes or until is golden brown
Prepare the syrup and brush it on the babka immediately after you take it out of the oven.
Grind the nuts in a food processor
Add the cardamom and sugar if you're adding any and stir well
Add the milk and orange blossom water and combine everything
Cook the nuts at medium heat until it gets a paste consistency
Add the butter for a creamier paste
Transfer to a plate and let it cool down to room temperature