Heat a medium skillet over medium high heat for about 3 minutes. Meanwhile, prepare spice mix by combining all spices in a small bowl. Stir to combine.
Add ground beef to skillet and brown, breaking up meat with a wooden spoon, until no longer pink, about 3 minutes. Add the refried beans, water, and spice mix, lower heat slightly, and cook until flavors meld, stirring occasionally, about 4 minutes. Turn off heat, and cover skillet.
Heat each tortilla directly over the burner of a medium gas flame, turning two or three times with tongs, until puffed, speckled and pliable, about 45 seconds. (Alternatively, heat in a dry pan on an electric stove.) Repeat with remaining tortillas. Lay tortillas on a cutting board.
Place 1/2 cup beef and bean mixture, 2 tablespoons cheese, 1 tablespoon sour cream, and a generous squeeze of lime down the center of each tortilla. Fold in the edges and roll up, burrito-style. Place seam side down on a plate. Repeat with remaining burritos.
Serve burritos with plates of shredded lettuce and mashed avocado, both spritzed with lime.