Make the pancake dough. Combine the flour with salt and warm water in a large bowl and mix until a rough dough forms. Lightly dust a clean work counter with flour and transfer the dough to the counter. Knead the dough until smooth, about 7-8 minutes. Drizzle a clean bowl with 1 tablespoon oil and place the dough inside. Cover with plastic wrap and let rest for 1 hour.
In a small bowl, combine ⅓ cup flour with 3 tablespoons olive oil, salt, and the za'atar seasoning. Set aside.
Preheat oven to 425 degrees F.
Prepare the eggplant dip. Pierce the eggplant with a fork on all sides. Cut the top of the garlic head off and drizzle with 1 tablespoon oil. Wrap the garlic with aluminum foil and place on a baking sheet along with the eggplant and bell pepper. Roast the garlic head and bell pepper for 25-30 minutes or until the garlic is softened and the bell pepper is charred. Roast the eggplant for 45 minutes - 1 hour or until softened, turning the eggplant every 15 minutes.
Place the bell pepper in a bowl and cover with plastic wrap. Let sit for 10 minutes. Remove the cover and peel off the skin. Discard the seeds and stem.
Squeeze out the garlic cloves and discard the skin.
Cut the eggplant in half and scoop out the flesh with a spoon. Put the eggplant flesh in a food processor along with the roasted bell pepper, garlic, ¼ cup olive oil, tahini, and lemon juice. Pulse the mixture until well combined but still slightly chunky. Season the dip with salt and pepper and set aside.
Divide the dough into 6 pieces. Lightly dust a clean work counter and roll out each piece into a rectangle about 1/16-inch thick. Spread 2 teaspoons of the za'atar seasoning mix evenly over the dough. With the long side facing you, roll the dough into a log. Grab one end of the log and wrap it into a circle. Place it on a baking sheet and repeat with the remaining dough. Cover and let rest for 30 minutes.
Gently flatten out the dough with the palm of your hand and roll it out into a 7 or 8-inch circle. Heat 2 tablespoons oil in a saute pan over medium-high heat and cook the pancake until browned. Flip the pancake over and cook until browned, gently pressing down on the pancake with a spatula to evenly fry the pancake. Remove from heat and repeat with the remaining pancakes.
Cut the pancakes into quarters and sprinkle with chopped parsley and sea salt. Serve warm with the roasted eggplant dip.