1. Sprinkle steak evenly with 1/4 teaspoon salt, pepper, and allspice. Heat a grill pan over medium-high heat. Coat pan with cooking spray. Add steak to pan; cook 4 minutes on each side or until desired degree of doneness. Place steak on a cutting board; let stand 5 minutes. Cut across the grain into thin slices.
2. Bring remaining 1/4 teaspoon salt, milk, stock, and paprika to a boil in a medium saucepan over medium-high heat. Gradually add polenta, stirring constantly with a whisk. Reduce heat to low; cook 5 minutes or until thick, stirring frequently. Remove pan from heat; stir in cheese and thyme.
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