Hello and welcome – wow, that has to be incredibly frustrating to go through at 17. Graves’ *can* recur after thyroidectomy or RAI if there is living tissue left behind. This is a case study that appears really similar to your situation – where the surgeon specifically made the decision to leave a tiny amount of tissue behind in order to avoid laryngeal nerve injury.
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6988647/
We are fellow patients here, so can’t tell you which choice to make, although hopefully, others who have had a similar experience will chime in. You might also check out our groups on Facebook (search for @GDATF and then click “Join Group” in the top right-hand corner) or on oneGRAVESvoice.com – as those forums tend to be more active than this one.