Spiral climb,
I do not work at EK but I know a few people who do. I know a couple on the A330 and evidently you move to the A340-500 as FO within 1-2 years and you could be seated in an A380 within 2-3 years of start. The growth seems to be on the Airbus side with the many A380s (potentially 100+ A380s) and A350s on the way... The A330s will be phased out in a few years.
Given your experience in the Airbus, what's the attraction to the 777 fleet at EK? Are you already tired of the sidestick?