BCG has an office Abu Dhabi. When I left in 2018 the office was not as big as Dubai but still sizeable (I'd say c.a. 80 consultants) and my guess is that it grew a lot over the last couple of years.
In terms of staffing (i.e. mix of industries, type of client, etc), Dubai and Abu Dhabi were pretty much overlapping with a big portion of their consulting staff deployed in Saudi where BCG used to have (and still has) a good share of the business.
Hope it helps