To make the aioli, with the back of a knife, crush the garlic. Gradually work the salt into the crushed garlic to make a paste. Place in a medium bowl. Whisk the eggs and lemon juice with the garlic paste to incorporate. Add the cayenne. Slowly whisk in the olive oil, a little at a time, and continue with the extra-virgin olive oil, whisking until the mixture is emulsified. Add the water 1 to 2 teaspoons at a time to thin the sauce to drizzling consistency. Cover and refrigerate until ready to use. (Use within 24 hours.
Arrange half of the sliced beef across the bottom of the plate. Toss the arugula with chopped plum tomatoes, aioli, salt and freshly ground black pepper. Place a mound in the middle of the plate and garnish with black olives and capers, and drizzle with additional sauce, as desired. Sprinkle with hot sauce and top with the cheese.
*RAW EGG WARNING
The American Egg Board states: "There have been warnings against consuming raw or lightly cooked eggs on the grounds that the egg may be contaminated with Salmonella, a bacteria responsible for a type of foodborne illness. Healthy people need to remember that there is a very small risk and treat eggs and other raw animal foods accordingly. Use only properly refrigerated, clean, sound-shelled, fresh, grade AA or A eggs. Avoid mixing yolks and whites with the shellÖ"
Yield: 4 to 6 servings