TRT typically lowers blood pressure, so TRT is not causing your high blood pressure. Your blood pressure readings shouldn’t be causing dizziness, so something else is causing it.
If you have high blood pressure, which you don’t, then blood pressure medicine may be the next step.
I used to get blood pressure increases after my injections, turned out to be low ferritin. TRT for some reason suppresses my ferritin.
What are your ferritin levels?