Chicken Crepe Riviera

Name: Chicken Crepe Riviera
Ingredients: 1 cup milk; 0.5 cup all-purpose flour; 2 eggs; 1 tablespoon butter, at room temperature; 6 leaves fresh basil leaves, minced; 1 pinch salt; 1.5 pounds chicken tenderloins, diced; 0.25 cup grapeseed oil; 1.5 tablespoons balsamic vinegar; 1 head broccoli, chopped; 1 tablespoon butter; 2 cloves garlic, minced; 2 Roma tomatoes, chopped; 0.5 (8 ounce) package sliced portobello mushrooms; 0.75 cup heavy cream; 2 tablespoons semi-soft cheese with garlic and herbs (such as Allouette®); 1 tablespoon pesto