Cheesy Chickpea Omelets

Name: Cheesy Chickpea Omelets
Ingredients: 2 cups (185 grams) chickpea flour; 3 tablespoons nutritional yeast; 1 teaspoon baking powder; 1 teaspoon smoked paprika; Kosher salt; 3 tablespoons apple cider vinegar; 2 tablespoons Dijon mustard; 1 tablespoon honey; Freshly ground black pepper; 1 radicchio head, quartered, cored, leaves separated; 1 fennel bulb, halved and thinly sliced, reserving any fronds; 1/4 cup extra-virgin olive oil, divided, plus more for serving; 6 ounces smoked Gouda, Pepper Jack, or Muenster cheese, grated (about 2 loosely packed cups); Flaky sea salt, for serving