Forgot 2 readings somehow.
Thyroglobulin antibody is still 4 iu/ml
Thyroid peroxidase ab is now >900 iu/ml
What are the reference ranges for the Free T4's? Reference ranges vary from lab to lab and have to come from your own reports.
Your TPOab indicates that you have Hashimoto's Thyroiditis, which is an autoimmune thyroid condition, in which the body determines that the thyroid is foreign and produces antibodies to destroy it. Many of us on the forum have Hashimoto's, as it's the most common cause of hypothyroidism in the developed world.
Instead of doing T3 uptake, which is obsolete, your doctor should be ordering Free T3, which is the hormone that's actually used by individual cells in the body. Free T3 correlates best with symptoms.
Free T4 is a "storage hormone" and must be converted to Free T3 prior to use; it's entirely possible that you aren't converting adequately, which could be the reason your Free T4 continues to rise with med increases, but so does your TSH and your symptoms are not resolving.
I'm not sure why the doctor is ordering TSI every time there's blood work, since that's the definitive test for Graves Disease and there's no reason, whatsoever, to believe you have that.
From the tests your doctor is ordering, it appears that s/he might not be well versed in thyroid and it could be in your best interest to find a different doctor.
Ranges are as follows.
TSH .4 - 4.5
Thyroglobulin High >1.0
Peroxidase ab high > 9.0
What is the reference range for the Free T4? That's the most important of the tests done.
T3 uptake is an obsolete test.
As is the Total T4 that was tested.
While Total T3 was not tested, it too is outdated test.
you really want Free T4 and Free T3 tests. So make sure and DEMAND and do not take no for an answer for BOTH of the free hormone (meaning unbound by protein and therefore "free").