So your TSH is good - below 1 where most of us feel best. Your FT4 is good - in the upper third of it's range, where most of us feel best.
BUT we don't know how well you convert T4 to T3 and it's FT3 that will tell us that, not total T3.
Looking at your previous post, you had your thyroid removed and you probably would benefit from combined Levo/T3 treatment, but you need to know your FT3 to know that.
So it's all pointing to getting FT3 tested.
Did you ask for vitamins and minerals to be tested, as suggested? Vit D, B12, folate and ferritin all must be optimal (not just in range) for thyroid hormone to be able to work and good conversion to take place.
Some medications interfere with Levo.
"The selective serotonin reuptake inhibitor (SSRI) sertraline (ZOLOFT), widely prescribed for depression, has been associated with a decrease in the effect of levothyroxine. Further studies are needed on this, and on any similar effects of other SSRIs."
There doesn't seem to be any reported interactions between pregabalin and Levo but I would leave as long as possible not just an hour between them.
You could also check for interactions with your inhalers and Levo. I use two inhalers and keep my Levo and T3 well away from them, Levo taken early hours of the morning when I get up for the loo, any time between about 2.30 and 6.30am, T3 about 7-8am, inhalers 1-2 hours after T3.