Dear A,
My cogratulations to your graduation. As regarding for the next steps, first you need to get some career experience (whether this engineering company, ideally with some project management work, or bank or any other sector), you need to show some career traction or profile, and afterwards you may apply to consulting.
If you need any support in order to get the first job or guidance on how to get into consulting, reach out to me, since I have already helped several dozens of people in the Middle East to get their jobs, in particular in UAE and Suadi Arabia.
Best,
André