Prep the yogurt base: In a small bowl, whisk together the room-temperature Greek yogurt, grated garlic, lemon juice, and ¼ teaspoon of salt until completely smooth. Divide the mixture evenly between two shallow serving bowls, spreading it out into a thick bed with intentional dips and swoops.
Prepare the poaching water: Fill a deep skillet or saucepan with 3 inches of water and bring it to a gentle simmer (small bubbles, not a rolling boil). Stir in the white vinegar.
Prep the eggs: Crack each egg into a small fine-mesh sieve to drain the watery whites, then transfer to a small ramekin.
Poach the eggs: Swirl the simmering water with a spoon to create a gentle vortex and carefully slide in the eggs one at a time. Cook for 3 to 4 minutes for a beautifully runny yolk.
Drain the eggs: Use a slotted spoon to carefully remove the poached eggs. Lightly dab the bottom of the spoon with a paper towel for 5 seconds to remove excess water.
Assemble: Nestle two poached eggs gently on top of the garlic yogurt in each bowl.
Finish: Drizzle one tablespoon of chili crisp generously over the eggs and yogurt in each bowl, allowing it to pool in the divots. Garnish with fresh dill or scallions and a pinch of flaky sea salt. Serve immediately with warm sourdough or pita bread.