I put my Profurl together with the mast out. Not so much tricky but attention to detail is needed and it's time consuming. The sections can bolt to a sleeve, so only undo one side at each join or you might lose the sleeve. We used Loktite Blue on every single Torx screw and there is a lot of sections, sleeves and screws. Insulating screw coating or goo. I was thinking at the time I would not want to have to disassemble it.

Disassembly and reassembly would be the sort of job I would hate to do with the mast in. its longer than the mast when disconnected and hanging, so you need to support it properly so you don't bend it.
I'd drop the mast out. Would be a mongrel of a thing with it in.
Typical profurler schematic below. More complex than it looks.
Cheers!
SB