The best easiest & cheapest way to travel between Makkah & Azizia is as follows:

Take a taxi from.the main road to Makkah, ask the taxi to take you to the Tauhid nafaq or the zam zam nafaq, this will bring you straight to the tunnells under the haram.
The Tauhid nafaq will bring you to a tunnel under the haram, come up the escalator and ypu will comeout on the marble area just in front of the Dar Al Tauhid hotel, (STORAGE LOCKER 5 ON THE HARAM MARBLE)
The same would apply to the zam zam nafaq but would bring you out on front of the clock tower (STORAGE LOCKER 1 ON THE HARAM MARBLE)
To return to azizia, go back down the escalators in front of Dar al Tauhid or the Zam Zam towers and the taxis will be lined up there, tell the taxi you would like to go to Azizia Shimalia, (maybe use nooris supermarket/ zain as a landmark)
N.B DURING SALAH TIMES THESE ROADS MAYBE CLOSED AND YOU WILL HAVE TO WAIT FOR THE TUNNELS TO OPEN AGAIN

IF YOU TAKE A TAXI FROM ANYWHERE ELSE IT WILL COST MORE AND TAKE EVEN LONGER TIME WISE , THE NAFAQS IS A DIRECT ROAD BETWEEN AZIZIA AND MAKKAH

Use only taxis (usually white car with اجره wriiten on the door), do not use private unbranded taxis or Uber as they not allowed past one of the tunnels, and you will have to work quite a distance to get to the Haram