In the Dahan Insurrection scenario, if Bringer of Dreams and Nightmares moves Dahan do they do real damage or shadow damage?

In the Dahan Insurrection scenario, if Bringer of Dreams and Nightmares moves Dahan do they do real damage or shadow damage?

They deal real damage.
It is the scenario that is causing the damage, not Bringer of Dreams and Nightmares, so its special rule does not apply.