Preheat and prep: Heat the oven to 375°F (190°C). Grease a 9x13-inch baking dish with oil or cooking spray.
Cook the sausage: Warm 1 tablespoon oil in a skillet over medium heat.
Add the sausage and break it up as it cooks. Brown until no longer pink, about 6–8 minutes. Transfer to a paper towel–lined plate.
Sauté the vegetables: In the same pan, add the remaining oil, onion, and peppers.
Cook until they soften, 4–5 minutes. Add broccoli and a pinch of salt and cook 2–3 minutes more. Stir in garlic for the last 30 seconds.
Fold in spinach just to wilt. Remove from heat.
Whisk the custard: In a large bowl, whisk eggs, heavy cream, and cottage cheese until smooth. Season with remaining salt, pepper, smoked paprika, and red pepper flakes if using.
Assemble: Spread the cooked sausage evenly in the baking dish.
Top with the sautéed vegetables. Pour the egg mixture over everything and sprinkle cheese on top.
Bake: Place the dish on the center rack and bake for 28–35 minutes, until the center is just set and the top is lightly golden. A knife inserted near the center should come out mostly clean.
Rest and serve: Let it rest 5–10 minutes before slicing.
Top with fresh herbs if you like.