In a large heavy-bottomed saucepan with a tight fitting lid, heat the oil over medium-high heat. Add the rice and fry, stirring frequently, until rice is light golden and translucent, about 6 minutes. Reduce the heat to medium and add garlic and half of the minced jalapeños; cook stirring constantly until fragrant, about 30 seconds. Stir in the tomato and onion puree, chicken broth, tomato paste, and salt, stirring until thoroughly combined. Increase the heat to medium-high and bring to a boil. Cover the pan, reduce the heat to a low simmer, and cook until the liquid is absorbed and the rice is tender, about 20 minutes. Remove from the heat, uncover, and fluff the rice with a fork. Cover and let rest for 10 minutes.