Position a broiler pan on the rack closest to the broiler and preheat to high for at least 10 minutes.
Pulse the anchovies, garlic, Dijon mustard, herbes de Provence, salt and pepper in a small food processor. Add the olive oil and pulse to mix. Rub the paste all over the steak.
Carefully pull the preheated pan from the broiler, set the steak in the center of the rack (it should sizzle when it hits the pan), and return to the broiler. Cook until the meat feels firm but still gives gently when pressed, 8 to 10 minutes for medium rare. (If your pan rack has preheated properly, it will not be necessary to turn the meat. However, if your broiler doesn't have a high output of heat, turn the meat 3/4 of the way through cooking to finish off the other side.)
Remove the meat from the broiler, remove it to a cutting board and let it rest for 5 to 10 minutes. Thinly slice the meat, against the grain, set on a platter. Serve warm with lemon wedges.
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