While the chicken is cooking on its first side (or do this before you cook the chicken) - in a smaller pan put the rest of the oil and 1 tablespoon of butter on slightly less than medium high heat. When the butter melts add peppers, 1/4 teaspoon of the lemon pepper and 1/2 the dill. After a minute add the zucchini, the rest of the lemon pepper and dill. Continue sautéing stirring every so often for 3 minutes. (Probably, or nearly, time to flip n cover the chicken! ) Using a slotted spoon, transfer the veggies to a small bowl leaving as much of the oil butter mixture in the pan for the mushrooms. Add a tablespoon of butter to the pan once melted add mushrooms and turn down to medium heat. Stir often. Once the mushrooms have taken on a beautiful sheen, cover and turn off the heat. Leave them covered in the pan and do not combine them with the other veggies. This technique lets them sweat out the juices but does not reduce their volume.