Heat broiler. Arrange the pita halves cut-side up on a broilerproof sheet pan. Drizzle with 2 tbl of the oil and broil until crisp, 2-3 min.
Top with the red peppers, artichokes, almonds, cheddar, and oregano. Broil until the cheese has melted, 2-3 min.
Divide the green beans among bowls. Drizzle with the lemon juice and the remaining 1 tbl. of oil. Season with 1/4 tea. salt and 1.8 tea pepper.
Serve with the pizzas.