This is a mishap from the hosts then, because no matter how you look at it, it's not a 2 cycle CD
You used N1.
Not sure if it's counting from when the ability is used or the phase thereafter, but either way, say the night is included in the CD it would look like
N1-D2 (1 cycle)
N3-D3 (2 cycle)
which means 2 cycle CD and you wouldn't be able to use it before N4.
@Reborn