Step 4: Make the Gravy: In the same skillet, melt the butter over medium heat. Stir in the flour and cook for 1-2 minutes to create a roux. Gradually whisk in the beef broth until smooth. Add Worcestershire sauce, dried thyme, salt, and black pepper. Bring the gravy to a simmer and cook for 3-4 minutes, or until thickened.
Step 5: Bake: Pour the gravy over the hamburger steaks in the baking dish. Cover the dish with foil and bake in the preheated oven for 30-35 minutes, or until the hamburger steaks are cooked through and tender.
Step 6: Serve: Serve the Amish Hamburger Steak Bake hot, with plenty of gravy spooned over each steak.
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