In a bowl, stir yogurt with the grated garlic and a generous pinch of salt. Taste. You want savory and bright. Set aside.
Bring a saucepan of water to a gentle simmer. Add a splash of vinegar if you want tighter egg whites (optional but helpful).
Crack each egg into a small cup or ramekin so you can slide them in smoothly. Less splashy chaos.
Swirl the pot gently to create a slow whirlpool. Lower the eggs in, one at a time. Simmer 2.5–3.5 minutes for runny yolks, up to 4 for jammy. Lift out with a slotted spoon and drain briefly on paper towel.
In a small pan, melt butter over medium heat. Stir in Aleppo pepper and a pinch of salt. Let it foam and turn a deep orange-red, about 30–60 seconds. Don't burn it; you want to smell toastiness, not smoke.
Spread yogurt on plates, top with poached eggs, spoon chili butter over everything. Finish with herbs, a crack of black pepper, and warm bread on the side.