Creamy Mushroom Pasta

Name: Creamy Mushroom Pasta
Cuisine: Italian
Ingredients: 1 Pound long pasta (such as linguine, fettuccine, or spaghetti); 5 Tablespoons olive oil (divided); 4 Tablespoons unsalted butter (divided); 1 1/2 Pounds mixed mushrooms (such as shiitake, baby bella, or oyster, cleaned); 1 Shallot (minced); 2 Cloves garlic ( minced); 3-4 Sprigs fresh thyme (minced); 1/2 Cup white wine; 3/4 Cup heavy cream; 1 Tablespoon grain mustard; Salt and pepper (to taste); Fresh parsley (roughly chopped); Pecorino Romano (grated)