In a small bowl add the instant coffee, sugar, and boiling hot water. Using a hand mixer, slowly increase the speed until the mixer is on high. Mix until light and fluffy, about 5-7 minutes. Set aside.
Brown Sugar, Chocolate, Cinnamon Filling
In a small bowl combine the brown sugar, cocoa powder, cinnamon, and nutmeg. Stir together until fully combined. Set aside.
Preparing the Cake
Preheat the oven to 350°F and generously grease a non-stick bundt pan.
In a small bowl sift together the flour, baking powder, salt, cinnamon, and baking soda. Stir to combine and set aside.
In a large bowl combine the sugar and butter. Blend with a hand mixer or mix vigorously with a whisk until smooth and silky.
Add in the milk, eggs, vanilla yogurt, extra virgin olive oil, and vanilla extract. Whisk to combine all of the ingredients well.
Add in dry ingredients and stir until smooth. Set aside.
Fold the dalgona coffee mixture into the cake batter, until fully incorporated.
Pour half of the batter into the prepared bundt pan, spreading evenly around the entire pan.
Sprinkle all of the prepared filling mixture into the bundt pan, spreading it evenly around the pan.
Pour the remaining cake batter on top and spread around so it is even and fully conceals the filling mixture.
Bake for 45 minutes, or until a toothpick inserted comes out clean.
Let the cake cool 10-15 minutes in the bundt pan. Place a coolinf rack on top of the bundt pan, hold onto the cooling rack and bundt pan tightly and flip it over to release the cake onto the cooling rack. Let cool completely.