Oven Warm-Up & Tortilla Toast : Heat oven to 400°F (205°C) with a parchment-lined sheet pan inside. On a dry griddle over medium, toast tortillas 45–60 seconds per side until pliable with light golden spots. Stack and cover with a towel.
Steam-Wilt the Greens : Add the tomato oil to the griddle/pan. Add spinach and ¼ cup water/broth; cook 4–5 minutes, stirring, until glossy and collapsed and most liquid has evaporated. (The splash of liquid softens the greens and prevents sticking.)
Flavor Build : Stir in garlic, lemon zest, and scallions; cook 2 minutes until fragrant. Stir in the chopped sun-dried tomatoes and cook for another 1 minute. Season with oregano, basil, Aleppo, salt, and pepper. Stir in lemon juice. Spread the mixture into three neat mounds about 7–8 in (18–20 cm) across.
Blanket with Whites : Whisk egg whites (and the optional whole egg). Pour a thin layer over each spinach mound so the eggs reach the edges. Cook over medium-low 5–6 minutes until opaque and the edges lift easily; centers should read 160°F (71°C) or feel set.
Sheet-Pan Flip Assist : Scatter feta over the egg rounds. Lay one tortilla on each round and press 10–15 seconds. Invert each onto the hot sheet pan so tortillas face down, filling up.
Fold & Seal : Return to the oven 1 minute to re-soften tortillas. Fold the bottom third up over the filling, then fold the sides inward to form an open-ended envelope. Press seam-side down on the pan 45–60 seconds to hold shape.
Oven Finish & Rest : Bake wraps 3–4 minutes at 400°F (205°C) until the bottoms are lightly crisp and seams secure. Rest 3 minutes; serve warm with lemon wedges if desired.