This is the struggle I’ve had for years!! I completely understand the frustration with the weight gain! I finally found a doctor to treat my thyroid. I am currently on NP thyroid which is a natural desiccated thyroid like armor thyroid. It contains t4 and t3. (Only 5 weeks in and no weight loss though)
You may need to request to have your t3 tested as well. With your tsh high- your pituitary gland is trying to stimulate your thyroid (obviously can’t anymore) Your t4 is low so I imagine t3 is as well- which would be the biggest cause in the drop in metabolism. I’d just try to push your doctor to adjusting things a bit more- then pulling back if your levels get too high. They really like to take it slow but they may be willing to listen and be a bit more aggressive with treatment. Worth a shot!
~“We believe that we are all saved the same way, by the undeserved grace of the Lord Jesus.” Acts 15:11~ *NLT