بسم الله الرحمن الرحيم
It appears from the question that the drops come after toilet for 30 or 45 minutes and thereafter no drop comes till you go to toilet for the second time i.e. the drops don’t come regularly. Thus if the case is so then you are not a Shariah mazur and when you are not excused person then your wudhu shall break if drop comes after you make wudhu and you will have to make fresh wudhu. You should urinate 45 minutes prior to Fajr salah as you do in other salah so that the drop stops by then and you may wash the private parts or the place where the urination is smeared and make wudhu and then offer salah with jamat.
However, consult any expert Hakim for the treatment of your problem so that it is solved.
Allah knows Best!
Darul Uloom Deoband