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Boil the kettle. Heat oven to 120C/100C fan/gas 1/2 and put an ovenproof plate inside to warm up. Fill a wide-based saucepan one-third full of water from the kettle and bring to the boil. Add the broccoli and cook for 2 mins. Add the tomatoes, return to the boil and cook for 30 secs. Lift out with tongs or a slotted spoon and place on the warm plate in the oven while you poach the eggs.
Return the water to a gentle simmer. Break the eggs into the pan, one at a time, and cook for 2 1/2 - 3 mins or until the whites are set and the yolks are runny.
Divide the flatbreads between the two plates and top with the broccoli and tomatoes. Use a slotted spoon to drain the eggs, then place on top. Sprinkle with the seeds and drizzle with the oil. Season with a little black pepper and the chilli flakes, and serve immediately.