Remove from heat and squeeze the juice of half the lime over the mixture, then the second half if you like more. Let cool slightly while you get ready to assemble your burritos.
Assemble your burritos: If your tortillas are unbendy from the package, you can warm them briefly in a dry skillet or for 15 seconds in the microwave to soften them. If they seem dry, I might spritz them lightly with water before warming.
Arrange first tortilla on counter and spoon about 3/4 cup of the filling in the lower third, closest to you. Sprinkle with 1/4 cup jack cheese and 2 tablespoons cotija. (If you like to make some burritos spicier than others, you can shake hot sauce on at this point.) Fold the bottom of the tortilla over the filling, fold in the sides, and roll it up, setting it to cool seam side-down. Repeat with remaining tortillas, filling, and cheese.
To eat right away: Go for it! but I love to brown it in a pan on both sides for some added texture and to ensure the cheese gets melty. Heat a skillet with a thin layer of oil over medium heat and add burritos you’re ready to eat. Cook until browned and crisp on both sides and dig in.
To freeze for later: Wrap burritos individually in foil (best for oven reheating) or plastic and pack in a freezer bag with all air pressed out. Burritos keep in the freezer a few months, or for as long as your freezer allows them to without imparting a “freezery” taste.
To reheat from frozen in an oven: Heat oven to 375°F. Heat foil-wrapped burrito for 40 to 50 minutes. To check for warmth, stick a toothpick or skewer into the center of a burrito and keep it there for 10 seconds. If the toothpick is warm when it’s remove, the burrito is too. If not, give it more time.
To reheat from frozen in a microwave: Unwrap burrito and microwave on a plate for 3 to 5 minutes, turning over once midway. To check for warmth, stick a toothpick or skewer into the center of a burrito and keep it there for 10 seconds. If the toothpick is warm when it’s remove, the burrito is too. If not, give it more time.
Both methods: For that extra crisp once warmed, follow the skillet instructions under “To eat right away” above.