Finely chop the fresh dill and mint leaves, then crush the garlic half to release its flavor. In a medium bowl, combine these ingredients with Turkish or Greek yogurt, stirring until well mixed. Season generously with salt and pepper to taste. Set aside.

In a deep pot, bring water to a rolling boil over medium heat, then add the tablespoon of vinegar. Stir the water vigorously to create a gentle vortex. Crack the eggs one at a time into a small bowl and gently slide them into the center of the vortex. Allow them to poach for about 2 to 3 minutes, or until the whites are set and yolks remain runny. Carefully remove the eggs with a slotted spoon and set aside.

In a small skillet, melt the 2 ounces of butter over medium heat until bubbly and foamy. Stir in the chili flakes and smoked paprika, allowing the spices to infuse the butter for about 1 to 2 minutes. Remove from heat but keep warm until you’re ready to assemble your dish.

On a plate, spread a generous layer of the garlicky yogurt base as the foundation. Place the perfectly poached eggs on the yogurt and drizzle the warm spiced butter sauce over the eggs. Serve immediately.

Garnish with extra chopped dill and mint for a fresh touch. Enjoy with crusty bread or homemade pita on the side.