If the copied permanent is affected by a type-changing effect, Moritte may enter the battlefield with different permanent types than the copied permanent currently has. Use the characteristics of Moritte as it enters the battlefield, not of the copied permanent, to determine whether it enters with an additional counter on it. Notably, if Moritte copies a permanent that's normally not a creature but has been made a creature by another effect, Moritte enters as a noncreature permanent that doesn't get +1/+1 counters or have changeling.