Cut broccoli into 1 inch florets. In a large mixing bowl, toss the broccoli with 2 tbsp olive oil, 1 tsp salt, and 1 tsp black pepper.
Air Fry broccoli at 400°F for 9-10 Minutes, or until charred and crispy. Set aside.
While the broccoli is frying, prepare the croutons. Slice sourdough bread into 1 inch cubes. Add cubed sourdough to the same large mixing bowl (4 cups total) with 2 tbsp olive oil, 1 tsp salt, and 1 tbsp black pepper. Toss to combine.
Air fry the sourdough at 350°F for 10-13 minutes, until firm and golden brown. Set aside.
While the sourdough is baking, prepare the dressing. Mince 4 anchovy filets and 3 garlic cloves. Add minced anchovies and garlic to a large mixing bowl with 1 tbsp Dijon mustard, 2 tsp honey, 1/2 cup red wine vinegar, and the remaining 1/4 cup olive oil. Whisk vigorously to combine. Add salt to taste.
Cut one half of a small red onion into thin slices. Slice 1 cup Castelvetrano olives in half. Gently tear mint leaves and dill fronds. Torn herbs should measure to approximately 1 cup.
Add sliced onions and olives to the large mixing bowl with the prepared dressing. Allow the onions and olives to macerate for 3-5 Minutes, enhancing the flavors.
Add the roasted broccoli, sourdough croutons, and torn herbs to the large mixing bowl with the dressing, sliced onions, and sliced olives. Thoroughly mix to combine.
Plate the tossed salad. Top with dollops of goat cheese and any leftover herbs. Enjoy!