The Fan works the other way around., it doesn't push air out it draws it in.
Ideally you want > 3" (76mm) Clearance … but no less than 1" (25mm).
This said you know the Wraith Spire is only ~80mm Height (110x110x80mm), like half the height you think it is.
The Wraith Prism is taller at 95mm and Wraith Ripper is 140mm (although as a note the Ripper is a Vertical Airflow as opposed to Horizontal).
200mm Clearance should frankly be fine for any fan.