In the meantime, make the cake by whisking the milk, sugar and yeast together in the bowl of your stand mixer or in a large mixing bowl.
½ cup warm milk, 2 tablespoons granulated sugar, 2 ½ teaspoons active dry yeast
Allow it to sit, undisturbed, for 5-10 minutes until the yeast is tan and frothy.
Whisk in the eggs, vanilla and salt. Then, use a dough hook to incorporate the flour.
2 large eggs, 1 teaspoon pure vanilla extract, ¼ teaspoon salt, 2 cups all-purpose flour
Gradually stir in 1 tablespoon of the butter at a time and continue kneading on medium speed for 4-5 more minutes. (The dough will be very sticky, but do not add any more flour or the cake will be tough and dense.)
4 tablespoons unsalted butter
Butter a large bowl. Scrape the dough out of the mixer and transfer it into the buttered bowl. Cover and allow it to rise in a warm place for 2 hours.
Preheat the oven to 350°F, and lightly flour a countertop. Turn the dough out onto the countertop and knead it 3-4 times. Dust a rolling pin then roll the dough out into an 8-inch circle.
Place a sheet of parchment paper into the bottom of a 9-inch springform pan then spray the entire pan generously with non-stick cooking spray.
Place the dough on top of the parchment paper then make the almond glaze topping.