Graves' Disease Support Group
Graves-Basedow disease is a medical disorder that may manifest several different conditions including hyperthyroidism (over activity of thyroid hormone production), infiltrative exophthalmos (protruberance of one or both eyes and associated problems) and infiltrative dermopathy (a skin condition usually of the lower extremities). This disorder is the most common cause of...

I am sorry you are having issues. It sounds like that perhaps you are over medicated (hypO) to have the weight gain happening and dose reductions are needed.
What are the lab reference ranges for the Free T4? The TSH cannot be used to dose when there are positive thyroid antibodies affecting the TSH to keep it low.
Have you ever had another thyroid lab test of the Free T3 to see how this is for the Propranolol that is being taken?
Most people do better with taking just enough MMI to keep the Free T4 at more towards the upper third range of the lab reference range. The Free T3 is best kept at mid range. So if the Propranolol is taken for the T3, it could be time for a dose reduction.
Once the labs are where one feels best there at for the least amounts of meds, the weight should come off.
{{{hugs}}}