I haven't operated the 777 but on all the swept wing types flown, we have applied sufficient into wind roll control to prevent the upwind wing from lifting.
NO BANK, just enough control to keep wings level. We were aware of the control movement which would cause spoilers to extend and usually avoided entering that range.
Once airborne AND with an assymetric engine failure, 5 deg bank into the live engine is usually permissible. I believe that some regulatory authorities take this into account when establishing Vmca.
However, your instructor will be qualified to train on your specific type. What does your flying manual say?
777 trainers - what's the gen?