Can My Thyroid Still Produce Hormones Despite Hypothyroidism And Hashimoto’s, Given My Supplements Like L-tyrosine And Iodine?

I m diagnosed with hypothyroidism and hashimoto s since July 2023. This my second round, because I was diagnosed first time between 2002-2005,but cured in few months with levothyroxine. Currently I m in subclinical hyperthyroidism stage with couple of symptoms. TSH 0,14 (0,5-4) original tsh was 7,04 T4V 18 (11-23) original T4 was 12 T3V (2,6-6,3) Tpoab was last October 950 Ferritin 58 (15–125) I might have night time heart beats and night time sweating. Not every night, but occasionally. I get little bit sweaty while walking outside even it would be only +18 or under degrees. My current medication teva levothyroxine dose is 125microg. I also take 0,5g iodine in kelp format. 500mg x 2 day L-tyrosine. L-tyrosine is for my digestion plus T4 and T3 conversion. Without tyrosine my conversion won t be working. Is there chances that my own thyroid still produce a thyroid hormone, because I have heard that not all hypothyroidism patients experience any effect to their T4 and T3 conversion with L-tyrosine and iodine combination? I m also type 1 diabetic since 2000.