4 teaspoons extra virgin olive oil, divided
1 large yellow onion, finely chopped
2 large cloves garlic, finely chopped
5 ½ cups chicken broth
1 cup diced, canned tomatoes
1 whole skinless, bone-in, chicken breast, cut into two halves (1 ½ pounds)
4 corn tortillas
Salt to taste
3 large carrots, peeled, cut into small, bite-size pieces
2 ½ cups roughly chopped red cabbage (about 1/3 of a head)
¼ cup fresh lime juice (1 to 2 limes), plus more if needed
¼ cup chopped cil...