In a ramekin or very small jar, combine the chile pepper, vinegar, maple syrup, and sprinkle with a pinch of salt and set aside to macerate, for 10 minutes (or longer), stirring once or twice (or shaking the jar up and down a few times).
Prep the broccoli: Cut off the tough one or two inches from the bottom of the broccoli stalk. Use a vegetable peeler to peel the first layer of the broccoli stalk. Cut the broccoli into small-to-medium sized florets. Slice the stems thinly into rounds.
Cook the chickpeas: Heat a large frying pan over medium-high heat with 1 tablespoon of the oil. Once hot, add the chickpeas and spread out in a single layer. Cook undisturbed for 2 to 3 minutes to allow some browning. Toss and cook for another 3 minutes, or until brown and blistered in spots. Add ½ teaspoon kosher salt, cumin, coriander, and Za’atar, and toss well to coat the chickpeas. Cook for 2 minutes to allow flavors to blend, then take off the heat and hit with a squeeze of lemon juice.
Meanwhile, cook the broccoli on a different burner: In a large cast-iron skillet, heat the remaining 2 ½ tablespoons of the oil over high heat. Once you start to see light wisps of smoke, add the broccoli florets and stems in an even layer as much as possible. Season with a bit of salt. Cook undisturbed for 2 to 3 minutes to char, then stir/flip, and cook for 1 to 2 minutes more until broccoli is nicely charred. Turn off the heat and squeeze just a bit of lemon juice on top.
Make the yogurt sauce: Mix together the yogurt, garlic, lemon zest, 1 tablespoon of lemon juice, cumin, coriander, a few pinches of salt, and pepper to taste. Taste, adding more salt, pepper, or lemon juice as desired.
To serve: Smear some yogurt sauce on the bottom of two or three plates, plate some chickpeas and broccoli on top of each, and spoon some of the pickled peppers on top along with a few spoons of the pickling liquid. Scoop up with bread of choice.