BLT Eggs Benedict with Roasted Potato Hash

Name: BLT Eggs Benedict with Roasted Potato Hash
Ingredients: 10 fingerling potatoes; 2 cloves garlic, smashed; 4 sprigs thyme; Kosher salt; Pinch crushed red pepper flakes; Extra-virgin olive oil; 2 tablespoons grated Parmesan; 1/2 small bunch chives, thinly sliced; 2 plum tomatoes, sliced 1/4-inch thick; 12 slices bacon; 1/4 cup plus 2 tablespoons white vinegar; 4 large eggs; 4 slices Pullman bread, cut into rounds using a ring cutter; 1/2 cup clarified butter, melted; 1/2 shallot, minced; 1 bay leaf; 5 black peppercorns; 3 egg yolks; Juice of 1 lemon; 1 cup sliced iceberg lettuce