One of the best things you can do for yourself is get a copy of every lab result you get and start keeping your own history.
"So, should I not increase dose if T3 or T4 are normal and TSH is sky high? "
No, not necessarily. It depends where in the range you are.
How do you feel? Are you feeling very hypo?
Oh, I went from 50 to 75 for one week and now she is saying go right on up to 100 since my TSH is confirmed at 40
So, should I not increase dose if T3 or T4 are normal and TSH is sky high?
Hm, T3 and T4 are "within range" but I don't recall exactly what they were.
While increases are typically done in 25 mcg increments, or sometimes, even 12.5 mcg increments, it's, generally, okay to do a 50 mcg increase for someone who is young and has no heart or other issues and whose thyroid hormone levels are very low.
What are your FT3 and FT4 levels, with reference ranges? Those are what should determine your increase. TSH should not be the sole basis for increasing/decreasing medication.
What's your FT3 and FT4 doing? With reference ranges, please...