A classic fine dining dish with roots in French culinary tradition. Whole lobster is steamed and the meat is removed and combined with a rich béchamel sauce enhanced with mushrooms, shallots, garlic, and brandy. Tempered egg yolks add luxurious richness and silky texture. The mixture is returned to the lobster shell, topped with Gruyère and Parmigiano Reggiano cheese, and broiled until golden and bubbly.