Heat olive oil in a stockpot over medium-high heat. Add onion, bell pepper, mushrooms, and garlic; sauté 5 minutes. Stir in rice and next 4 ingredients (through thyme); bring to a boil. Cover, reduce heat, and simmer 10 minutes.
Stir in tomato, green peas, olives, 2 tablespoons parsley, black pepper, and artichoke hearts. Cook 3 minutes or until rice is tender and mixture is thoroughly heated. Garnish with additional chopped fresh parsley, if desired.
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