Hm, Like Steve I also can't recall having issues with the carbon brushes.
Looking at my pics, i thinks there's just one way to do it: Install the rotor first into the section with the brushes, and slide the black housing over your assy. This gives you full access to manipulate the brushes around the copper segments on the rotor. You may get soem difficulty aligning the end of the rotor axle to catch it seat deep inside the housing, as the permanent magnets will likely pull the rotor to one side.
I must have managed it somehow without too much fuss, otherwise I'd have a picture from that build step... and I do not.
If this doesn't work, then you may pull the plate with brushes from it's housing; i see in my pics that it has some freedom, while still being attached by some wires. This may just give you enough room to slide the plate with the 3 carbon brushes over the axle. But I'm not sure if that will work.
Last resort would be to unsolder the 2 brown wires, and stacking everything up with the black housing on the bottom, drop the rotor in, place the plate with brushes, feed the wires through the alu housing part, and drop the alu housing part over the axle to sandwhich the plate with brushes. But I'm sure i didn't do it that way.
Here's some pics with other views of the parts involved.