One-Pot White Wine Pasta with Mushrooms and Leeks

Ingredients

• tablespoons extra-virgin olive oil
• pound cremini mushrooms, trimmed and sliced
• tablespoons unsalted butter
• medium leeks, trimmed and thinly sliced , about 1 1 /2 cups
• medium garlic cloves, thinly sliced
• teaspoons kosher salt, divided
• pound short pasta, such as penne, casarecce, or pipe rigate
• water
• low-sodium vegetable broth
• dry white wine
• heavy whipping cream
• grated Parmigiano-Reggiano cheese , plus more for serving
• tablespoons chopped fresh dill
• tablespoons chopped fresh flat-leaf parsley
• teaspoon grated lemon zest plus 1 1/2 teaspoons fresh juice
• teaspoon black pepper