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1
Heat the oil or butter in a heavy-based saucepan over medium-low heat. Add the sliced onions and cook, stirring regularly, for a minimum of 30 minutes until deeply caramelised and reduced to a mahogany-coloured mass. The onions are ready when they offer almost no resistance and carry a rich, sweet, roasted smell.
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2
Add the carrots and potatoes to the pot, stir to combine with the onions, then pour in the water or dashi. Bring to a simmer and cook, partially covered, until the vegetables are just tender — a skewer should pass through a carrot piece with slight resistance.
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3
Remove the pot from the heat. Add the grated apple and the broken curry roux blocks. Stir steadily until every block has dissolved completely into the liquid, producing a smooth, thick, glossy sauce. Return to low heat and simmer for 10 minutes, stirring frequently. This is where the dish lives or dies: the sauce must be thick enough to mound on rice without running — it should coat the back of a spoon heavily and fall in slow, ribbon-like sheets, not pour. A thin, watery sauce is the defining failure of the dish.
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4
Set up a three-stage breading station: plain flour, beaten egg, and panko. Season the cutlets, dust in flour, pass through the egg, then press firmly into the panko so the crumbs adhere in a compact, even layer. The coating should feel dry and sturdy to the touch, with no bare patches.
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5
Heat the frying oil in a deep pan or wok to 170 °C. Lower the breaded cutlets in carefully and fry, turning once, until the panko is uniformly golden and the internal juices run clear — approximately 4–5 minutes for pork, 4 minutes for chicken. Drain on a rack, never paper, to preserve the underside crust. The coating should be audibly crisp when tapped with tongs.
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6
Slice each cutlet crosswise into 2 cm strips immediately before plating. Mound hot rice to one side of a deep plate or bowl. Ladle the curry sauce generously over the rice, then lay the sliced katsu beside or atop the sauced rice. Place a portion of fukujinzuke to the side. Drizzle tonkatsu sauce over the katsu if using. Serve at once — the crunch is a property of freshness only.