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Sprinkle both sides of steak with 3 teaspoons of the Montreal Steak Seasoning. Brush vegetables with 1 teaspoon of the oil. Grill steak over medium heat 5 to 7 minutes per side or until desired doneness. Grill vegetables 6 to 8 minutes or until tender-crisp. Cut steak and vegetables into bite-size pieces. Mix cheese and remaining 1 teaspoon Seasoning in small bowl.
Stretch or roll pizza dough on floured baking sheet to a 12- to 14-inch round, about 1/4-inch thick. Brush top of dough with remaining 1 tablespoon oil. Place oiled-side down on the grill. Close lid. Grill over medium heat 1 to 2 minutes or until grill marks appear on the bottom of the crust. Carefully flip crust over using tongs or spatula.
Layer crust with 1/2 of the cheese, grilled steak, vegetables and remaining cheese. Close lid. Grill 3 to 4 minutes longer or until cheese is melted and crust is browned. (Check pizza often to avoid burning. Rotate pizza, if necessary.) Slide pizza onto baking sheet. Slice and serve immediately.