I would never mess with T3 unless one is under the direct care of a Board Certified Endocrinologist. The idiot bodybuilding community uses it improper to "get shredded" and they don't realize the damage they are doing to their otherwise normal thyroid.
T4, on the other hand, can be self managed with blood work. Those that use HGH, even low doses, should get their T4 levels checked and supplement as needed. T4 is the reserve...your body converts it to T3. So taking even slightly high doses of T4 isn't messing with your thyroid because your body simply won't convert that excess T4 into T3. No harm done.
But let's say your T4 levels are low...then you will likely feel very sluggish because your body is trying to convert T4 to T3 but doesn't have enouhg T4. In this case..I would supplement safely with T4....NOT T3. Said another way, taking T4 doesn't do shit when it comes to speeding up your metabolism...T3 does...but fucks with your thyroid.