Lemony bean ragout with crispy fried haloumi

Name: Lemony bean ragout with crispy fried haloumi
Ingredients: 2 packets haloumi cheese (each 8 12 ounces); 1 pound green beans, trimmed and cut into bite size pieces (or asparagus); 2 cups blanched and peeled fava beans, or about 10 ounces frozen fava beans, or frozen baby lima beans, if you can't find any fava beans; 2 cups fresh or frozen peas; 1 clove garlic, finely minced; 1/2 cup extra-virgin olive oil (divided); 2 lemons; 10 sprigs mint, finely chopped (substitute: small bunch parsley, chives, or dill)