Aromatic Sweat (8–10 minutes): Warm the olive oil over low–medium heat. Add onions and 2 tablespoons water, cover, and sweat until translucent and sweet, stirring occasionally. Stir in the garlic and cook 1 minute.
Pepper Sizzle & Steam (6–8 minutes): Add bell peppers. Cover for 3 minutes to steam, then uncover and cook 3–5 minutes more over medium heat to concentrate juices. If browning threatens, splash in a tablespoon of water and scrape up any fond.
Herb & Paprika Bloom (30 seconds): Stir in smoked paprika, oregano, thyme, and bay leaves until fragrant.
Zucchini–Eggplant Softening (8–10 minutes): Add zucchini and eggplant with a few twists of black pepper (and a tiny pinch of salt if using). Cover to trap steam; stir occasionally. Use small splashes of water instead of more oil to prevent sticking.
Tomato Melt & Chickpea Silk (15–20 minutes): Add tomatoes and bring to a lively simmer. Stir in the chickpea purée until fully dissolved into the sauce. Simmer gently, uncovered, stirring every few minutes, until vegetables are tender and the ragout is glossy and thick. Off the heat, stir in the sherry vinegar and lemon zest.
Nest & Set the Eggs (6–8 minutes): Make six shallow wells with a ladle. Crack one egg into each. Cover and cook on low until whites are set and yolks are still soft, about 6–8 minutes.
Green Finish (30 seconds): Remove bay leaves. Scatter parsley over the top.
Rest & Serve (3 minutes): Let the pan rest off heat briefly for gentle carryover cooking. Serve straight from the pan.