Bain Dubai has been hiring actively. The Middle East is busy with Vision 2030 and big transformation projects. But they hire in waves, not continuously.
Several months with no feedback is usually not a good sign. But the fact that they gave you the test means they were considering you. Whether that window is still open, only the recruiter knows.
Send one short email to the recruiter. Something like "I completed the assessment on [date] and wanted to check on my application status. I'm still very interested in Bain Dubai." Don't follow up more than once.
If you don't hear back within a week, that's your answer. Move on and reapply next cycle.
If it doesn't work out, you can always try again. Middle East MBB offices are open to repeat applicants. I've worked with many people who got in on their second or third try. The key is showing growth between attempts.
Follow up once, get your answer, and plan from there.