Can an increase of thyroid medication lower your iron and ferritin levels?

I wanted to ask this question as I have had blood test results where I increased either levothyroxine or liothyronine then my iron and ferritin decreased a lot. Did this happen to anyone?

Also, if TSH, Free T4, and Free T3 are all in the optimal range, can iron/ferritin levels in the lower ranges cause fatigue?