Sheet Pan Fried Rice

Name: Sheet Pan Fried Rice
Ingredients: 1 cup long-grain white rice; 1 1/2 cups plus 2 tablespoons water , divided; 1 cup mild kimchi , drained and chopped, plus 2 tablespoons juice; 1/4 cup tahini; 2 1/2 tablespoons tamari or soy sauce, divided; 1 tablespoon gochujang paste; 1 tablespoon rice vinegar; 1 tablespoon sugar; 1 clove garlic , pressed; 3 tablespoons avocado or canola oil , divided; 1 block extra firm tofu , drained; 4 cups broccoli florets; 1 large carrot , thinly sliced; 2 teaspoons toasted sesame oil