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Start with the cowpeas. Rinse them under cold running water, rubbing them between your palms for a couple of minutes until the water runs clean. Cover them in a heavy pot with cold water by about three fingers' width, bring to a rolling boil, then immediately drain and rinse well — this first boil draws out the oligosaccharides that make legumes hard on digestion, and my grandmother did this long before anyone called it food science. Return to the pot with fresh cold water and bring to a gentle simmer. Cook for around 45 to 50 minutes until they yield softly when you press one between your fingers — tender but still holding their shape. Drain and set aside.
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While the cowpeas are doing their thing, cut your beef chuck into roughly 4cm chunks — keep them generous or they'll disappear into the braise. Pat them completely dry with paper towel; moisture is the enemy of a good sear. Heat a generous pour of olive oil in a large heavy pot over medium-high heat until it shimmers, then brown the beef in two batches — never crowd the pan, or you'll steam the meat instead of caramelising it, and you'll lose all that deep flavour the Maillard reaction gives you. About 3 to 4 minutes per side, until the pieces are deeply golden and the smell in your kitchen turns rich and nutty. Set them aside on a plate.
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In the same pot, add a little more olive oil and tip in your diced onions. Cook over medium heat, stirring every couple of minutes, for about 6 to 7 minutes — you want them soft, just beginning to colour at the edges, smelling sweet rather than sharp. Then add the minced garlic and watch it closely; it only needs about a minute before that unmistakable perfume rises from the pan. Garlic burns fast in hot oil, so add it at the very end of the onion stage and don't walk away.
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Roughly chop your fresh tomatoes into chunks and add them to the pot along with the browned beef, the drained cowpeas, and about 500ml of cold water. Tuck in a fresh thyme sprig, a good teaspoon of sea salt, and a crack of black pepper, then stir everything together. Bring to a gentle simmer — you want only a few lazy bubbles breaking the surface, not a rolling boil, which will toughen the meat and cloud the broth. Cover and braise quietly for 35 to 40 minutes.
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About 20 minutes into the braise, nestle the raw chicken drumsticks into the pot among the meat and beans. They'll finish cooking alongside everything else in the remaining 20 minutes. Dark meat is forgiving — it handles slow heat without drying out, which is exactly why drumsticks belong here rather than breast. The chicken is ready when the meat pulls away from the bone easily and a knife slides through the thickest part with almost no resistance; if you have a thermometer, you're looking for 75°C at the centre.
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In the last 10 minutes, add the drained pre-cooked fava beans and french beans. They just need to warm through — adding cooked legumes late keeps them intact and nutritionally sound, rather than turning them to mush. The stew at this point will look a little soupy, and that is exactly where you want it — the liquid should coat the ingredients generously without drowning them.
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Just before you bring it to the table, stir through the drained pre-cooked chrysanthemum greens gently and let them warm for about 2 minutes — they'll darken slightly and their subtle, pleasantly bitter note will cut right through the richness of the meat and beans. These greens are delicate, so treat them with care and never add them too early or they'll go grey and lose everything that makes them interesting. Finish with a squeeze of fresh lemon juice, taste the broth, and adjust salt or lemon as needed — the acid should be present but quiet, just a brightness in the background rather than the main voice.