1-Make the herbed yogurt: Make the herbed yogurt. In a large mixing bowl, combine 1 cup of Greek yogurt, 1 Tbsp olive oil, 1 Tbsp fresh lemon juice, 1 grated garlic clove, 1 Tbsp chopped dill, and ½ tsp kosher salt. Whisk well, then set aside.
2-Poach the eggs: Poach the eggs. Fill a medium saucepan with at least 3 inches of water, then add 1 Tbsp white vinegar. Set over medium heat and bring to a gentle simmer, or just lower. You don’t want the water to boil. Crack each egg into a small ramekin or bowl. When the water is just below a simmer, carefully drop one egg at a time into the water and poach for 3 minutes, or until the whites are fully set, but the yolk is still runny. I recommend doing two eggs at a time to ensure even cooking. The eggs will not overcook as they rest.
3-Drain the eggs: Drain the eggs. Using a slotted spoon, carefully transfer the poached eggs to a paper towel or kitchen towel lined plate to absorb excess moisture. Repeat with remaining eggs. Eggs can be poached a day in advance, see below.
4-Make the sauce: Make the sauce. Place 3 Tbsp butter and 1 tsp Aleppo pepper in a pan over medium heat. Cook until fragrant, about 1 minute, stirring often.
5-Assemble, then serve: Assemble, then serve! Divide yogurt evenly between shallow bowls. Top each with two poached eggs, then spoon the sauce on top. Garnish with additional fresh dill or mint, then sprinkle each poached egg with flaky sea salt. Serve immediately with pita or crusty bread.