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1
Partially freeze the beef until firm to the touch, then slice to under 2 mm on a cold board. Set aside. Consistent sub-2 mm thickness is the precondition for every subsequent step.
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2
Combine dashi, mirin, soy sauce, and sake in a wide, shallow pan. Bring to a gentle simmer over moderate heat. The liquid should tremble rather than boil; the smell is sweet, savoury, and alcoholic at first, softening as the sake reduces.
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3
Add the sliced onion to the simmering tare. Cook until the onion turns translucent and loses its raw sharpness but retains discernible bite — not fully soft. This is where the dish lives or dies: onion cooked to mush surrenders the textural contrast that defines gyudon; onion still raw carries an unresolved sharpness that the tare cannot correct. The correct moment is translucency with resistance under the back of a spoon.
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4
Lay the paper-thin beef slices across the surface of the simmering tare in a single, loose layer. They will cook in seconds. Watch for the colour to change from red to pale grey-brown across the entire surface — remove from heat the instant no pink remains. Do not stir vigorously; the slices are fragile.
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5
Skim any accumulated fat from the surface of the tare continuously during and immediately after cooking. Remove the pan from heat and rest, uncovered, for 30 seconds. The beef will absorb the tare more completely in this brief off-heat pause; the sauce should coat a spoon in a thin, glossy film.
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6
Divide steamed rice between four bowls, filling each to a generous depth. Ladle the beef and onion over the rice, then spoon tare over the top until the rice at the bowl's edge is lightly moistened but not flooded. The ratio of sauce to rice is confirmed by taste: sweet-savoury umami should be present throughout without pooling at the base.
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7
Place a mound of beni shoga to one side of each bowl and serve immediately. The vinegary acidity of the garnish is essential to the flavour architecture; its sharp, pickled scent signals the acid counterbalance before the first mouthful.