Regardless of the endoscopy results you will need to try strictly gluten free diet for at least 3-6 months. Strongly suspect you will find it essential (it's much easier than it sounds!)
Improving your dire vitamins, being strictly gluten free and helping gut heal will all help.
Bone broth is good
But you need Levo dose high enough to get TSH right down too.
Dr Toft, past president of the British Thyroid Association and leading endocrinologist, states in Pulse Magazine,
"The appropriate dose of levothyroxine is that which restores euthyroidism and serum TSH to the lower part of the reference range - 0.2-0.5mU/l.
In this case, free thyroxine is likely to be in the upper part of its reference range or even slightly elevated – 18-22pmol/l. Most patients will feel well in that circumstance.
But some need a higher dose of levothyroxine to suppress serum TSH and then the serum-free T4 concentration will be elevated at around 24-28pmol/l.
This 'exogenous subclinical hyperthyroidism' is not dangerous as long as serum T3 is unequivocally normal – that is, serum total around T3 1.7nmol/l (reference range 1.0-2.2nmol/l)."
You can obtain a copy of the article by emailing firstname.lastname@example.org print it and highlight question 6 to show your doctor.
Once you get TSH right down and FT4 right at top of range, FT3 may remain too low. With Hashimoto's our conversion can be poor because a lot of conversion should happen in the gut and gut doesn't work properly. Catch 22
May need addition of small dose of T3, but not before do all other things first
Good daily probiotic. Fermented foods like kefir etc etc
The gut is key