Prepare the Yogurt BaseIn a bowl, mix Greek yogurt, minced garlic, dill, and a pinch of salt. Set aside.
Poach the EggsBring water to a boil in a large pot.Add vinegar and a pinch of salt.Stir the water to create a gentle whirlpool.Crack the eggs one by one into the center.Poach for 2–3 minutes, then remove with a slotted spoon.
Make the Butter SauceMelt butter in a pan, then stir in paprika and chili flakes.
Assemble & ServeSpread the yogurt base on a plate.Place poached eggs on top.Drizzle with the spiced butter sauce.Sprinkle oregano and season to taste.Serve with warm pita or crusty bread.