Those medications are different brand names of levothyroxine which is a drug that makes your thyroid levels go up. Hypothyroid people take that drug. I have Graves disease hyperthyroidism and take the opposite drug methimazole which lowers the thyroid hormones.

PS:. I have both Graves and hashimoto antibodies so my thyroid is pulled in both directions. I have gone into hypothyroidism while on too high of dose of methimazole and then went into thyroid storm when they reduced my methimazole dose too much too fast. But I've never had to go on levothyroxine to correct it. If my thyroid levels get low/hypo, I stop taking my methimazole until they get back up. I've never supplemented with levothyroxine. My body naturally rests as hyperthyroid, I don't need to help it get back there. Then once it's no longer hypo, I take a lower dose of methimazole. And honestly with that drug, I ended up taking a low dose every other day.

Do you still have your thyroid gland or was it removed?