Any supplements can help? Are you saying increasing CO2 is the solution? Maybe buteyko breathing will help? Or acetazolamide?
Bag breathing and buteyko will all help a lot, but from personal experience, they only help while doing the exercises and for a few minutes afterwards. Might be different for you though.
Peat says CO2 is the solution to basically every degenerative health issue & that the purpose of taking thyroid is to make CO2. Enough CO2 will turn off the adrenals, increase progesterone/thyroid/testosterone activity and decrease estrogen, but this is one of those things that works in theory but not in practice because its basically impossible to make yourself hypoventilate 24/7 to the degreee necessary to build up the required amount of CO2, which is why improving thyroid function via diet/supplement/moving to high altitude is necessary
I've tried acetazolamide and didn't really find it helpful