That looks like Hashitoxicosis. Usually due to leakage of active Hashimoto's thyroiditis but in some cases Graves antibodies can show up as well with Hashimoto's thyroiditis.
Thyroid Research and Practice - Hashitoxicosis: A clinical perspective...
"Chronic autoimmune thyroiditis is the most common cause of hypothyroidism worldwide. Sometimes, it is associated with a transient hyperthyroid phase. This hyperthyroid phase, called Hashitoxicosis (the term generally refers to a combination of thyrotoxicosis/hyperthyroidism in the setting of ongoing autoimmune thyroiditis), is self limiting, and lasts for a period of a few weeks to some months. During this time, classical symptoms of mild to moderate hyperthyroidism may co-exist with a diffuse, firm, painless goiter. Thyroid scintigraphy may show normal or a slightly increased uptake. Anti-thyroid antibodies are often positive, and ultrasound with Doppler is a useful test. A combination of clinical features, thyroid function tests, and appropriate radiology will help make the diagnosis."
What are the reference ranges for the Free T4 and Free T3? Reference ranges vary from lab to lab and have to come from your own report.
Also, have you been tested for the actual thyroid antibodies to determine if you have Hashimoto's or Graves Disease?
The antibodies to confirm Hashimoto's are Thyroid Peroxidase Antibodies (TPOab), sometimes known as Microsomal Antibodies, and Thyroglobulin Antibodies (TgAb). The definitive test for Graves Disease is Thyroid Stimulating Immunoglobulin (TSI).
Your symptoms of cold intolerance, weight gain, fatigue, and hair loss are consistent with hypothyroidism. We would expect your TSH to be higher with Free T4 as low as yours appears to be, but that will depend on the reference range.
You may also have Central or Secondary hypothyroidism, which is a problem with the pituitary/hypothalamus axis in which there isn't enough TSH to adequately stimulate the thyroid. But it might not matter if your thyroid is under attack and can't respond anyway. We just don't your doctors to overlook the possibility since some of them are prone to concentrate on the TSH and yours is what most would consider "pristine"...