Sauté half a finely chopped shallot in a knob of butter. Add the bulgur and let it become translucent over medium heat. Season with a pinch of coarse salt. Deglaze with water to cover and let it reduce, stirring until the liquid evaporates, about 10 minutes.
Peel the white asparagus and cut off the tough ends. Wash the green asparagus tips. Melt 0.7 oz of butter in a pan and add the asparagus. Season with salt and pepper, cover, and cook for 5 to 6 minutes over low heat. Cut the white asparagus into cubes and mix them with the bulgur. Set aside the green asparagus tips.
Sauté the other half of the finely chopped shallot in a pan with a knob of butter. Add the cockles and white wine. Cover and let them open, about 1 minute. Collect the cooking juice, pour it into a saucepan, and add the cream. Let it reduce over low heat. Add the chouchen and let it reduce again. Keep warm.
Steam the hake fillets for 10 minutes.
Blend the chouchen sauce with an immersion blender, incorporating 0.35 oz of butter.
Plate the bulgur on a warm plate. Add the hake fillet, the cockle meat (placed on a razor clam shell), the sauce, and the green asparagus tips. Decorate with small seasonal leaves.
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