I have a question about the damage type of a leaping Chaos Bolt (XGtE, p. 151; GGtR, p. 67).
The first step of the spell description is rather clear as to choosing damage type:
the target takes 2d8 damage. Choose one of the d8s. The number it rolled determines the type of damage
and following that, it adds
If you roll the same number on both d8s, the chaotic energy leaps from the target to a different creature
Finally, it adds
Make a new attack roll against the new target, and make a new damage roll, which could cause the chaotic energy to leap again.
It is clear that this 2nd (or later) damage roll follows the same rule about leaping on doubles. It's not perfectly clear to me, because it's not restated, whether you also re-apply the "choose damage type from one of the d8s" mechanic from the first target.
I'm thinking you probably choose a new damage type each time, but I'm not sure if that's RAW or RAI or just what I'm thinking.
Basically, do you choose the damage type randomly once per casting, or once per target?