Steak in Red Wine Sauce

Name: Steak in Red Wine Sauce
Prep time: 15 min
Cook time: 27 min
Total time: 42 min
Cuisine: American
Ingredients: 1 thick-cut (about 1 1/2-inch-thick) New York strip or ribeye steak (about 18 ounces); 1 large shallot; 1 clove garlic; 1 1/4 teaspoons kosher salt, divided; 4 tablespoons (1/2 stick) unsalted butter, divided; 2 (5-inch) sprigs fresh rosemary or thyme; 1 tablespoon balsamic vinegar; 3/4 cup beef broth; 1/2 cup dry red wine, such as Malbec or Cabernet Sauvignon; 1/4 teaspoon freshly ground black pepper