Quizel, Unsubtle Copier

Whenever a player casts a noncreature spell, both
you and that spell's controller secretly pick a
number from 1-3. Both players reveal their number
and if they are the same number, copy that spell.
This ability triggers only once per player per turn.
{2}{b}: Regenerate Quizel.
What's yours is mine and what's mine is also mine.