Decisions about med and dosage should be made mostly based on symptoms. You stated, "now started feeling at least some glow in my hair & body which was never observed." I am not quite sure what that means, but it sounds like an improvement. Do you have any other symptoms? When you were originally diagnosed and started on medication, what was the identified cause? Was it Hashimoto's Thyroiditis?
Have you been tested for Vitamin D, B12 and ferritin?
It seems a bit strange that your levels would increase that much from 3 months ago. Were the tests done by the same lab? Are you doing anything different as to when you take your med?
I would not focus on the FT3 to FT4 ratio as a criterion for success. When taking T4 med, it usually requires FT4 to be in the upper end of the range, in order to get FT3 high enough. We usually suggest that FT4 should be at least mid-range, and FT3 in the upper third of its range, or as needed to relieve symptoms. So rather than focus on FT3 and FT4 levels and their ratio, it is far better to focus on getting relief from hypothyroid symptoms. So, if you are feeling well with those results, why change anything?
Since hypo patients are so frequently deficient in Vitamin D, B12 and ferritin, have you tested for those? If not, then you should do so and then supplement as needed to optimize. D should be at least 50 ng/mL, B12 in the upper end of the range, and ferritin should be at least 100.
Was your medication increased since the last test results? If so what was the prior dosage?
Medication dosage should be increased enough to eliminate any signs/symptoms of hypothyroidism, without creating any signs/symptoms of hyperthyroidism. So the decision on your medication dosage should be dependent on how you feel.