Help docs! Would it make sense to take levothyroxine if you have hyperthyroidism?

No. There are some conditions that start as hyperthyroid and then become hypothyroid. But one lab is not enough to define hyperthyroidism or hypothyroidism, usually diagnosed with a thyroid panel, not just TSH. Sometimes patients take too much levothyroxine and need to decrease dose. Doctors determine this with lab work. See your doctor.