Braised Beef with Gravy-Like Sauce and Vegetables

lbs beef ((e.g. chuck, shanks or brisket, cut into 2-inch pieces))

olive oil

butter

button mushrooms ((rinsed, whole))

carrots ((medium, peeled and cut into large pieces))

leeks ((white and light green parts only, sliced 1/4" thick))

vidalia onion ((large, peeled and chopped))

shallots ((peeled and cut in halves))

garlic cloves ((minced))

garlic heads ((optional))

all purpose flour

beef broth ((or beef stock, heated))

red wine vinegar

Kosher salt ((to taste))

black pepper ((plus more to taste))

nutmeg

Chopped fresh herbs ((for garnish))