Mix Greek yogurt, garlic, lemon juice, and salt in a bowl. Set aside.
Heat water with vinegar to a gentle simmer.
Crack eggs into ramekins and gently slide into the simmering water.
Poach for 3–4 minutes until whites are set and yolks runny.
In a small saucepan, melt butter. Add Aleppo pepper, cumin, and salt.
Stir until fragrant, about 1 minute, then remove from heat.
Spread garlic yogurt in serving bowls.
Place poached eggs on top and drizzle with warm chili butter.
Garnish with herbs, sumac, and black pepper. Serve immediately with bread.