Pork Schnitzel with Mushroom Gravy

Name: Pork Schnitzel with Mushroom Gravy
Ingredients: 6 4-ounce boneless pork loin chops; 1/2 tsp. kosher salt, plus more to taste; Black pepper, to taste; 1 c. all-purpose flour; 2 large eggs; 2 tbsp. milk; 1 1/2 c. seasoned breadcrumbs; Vegetable oil, for frying; 4 tbsp. salted butter; 8 oz. white and/or cremini mushrooms, thickly sliced; 1 shallot, finely chopped; 1/2 tsp. kosher salt; 2 tsp. fresh thyme, chopped; 1/4 c. all-purpose flour; 1 1/2 cups low-sodium chicken broth; 1/2 c. heavy cream; 1/4 c. fresh parsley, chopped; 1 tbsp. fresh lemon juice, plus wedges for serving; Green salad, for serving