
1¾ cups all-purpose flour, plus additional for dusting
¼ cup semolina flour, plus additional for dusting
½ teaspoon coarse kosher salt, plus additional for pasta water
3 large eggs, at room temperature
2 to 4 tablespoons water, divided
1 tablespoon olive oil
1 tablespoon salted butter
¾ cup chopped celery
½ cup chopped shallot
½ cup chopped carrot
1 pound 80% lean ground lamb
1 large clove garlic, minced
½ teaspoon coarse kosher salt
½ teaspoon fresh grated nutmeg
¼ teaspoon ground white pepper
½ cup white wine vinegar
3 cups vegetable stock
2 tablespoons tomato paste
2 sprigs fresh thyme, plus additional for garnish
2 tablespoons chopped fresh mint, plus additional for garnish
Grated Pecorino Romano cheese, for serving