Patent application WO2015127263 (pamphlet 131) referencing PCT/US2015/016897 has the exploded diagram (photos) of the Lugano device. Newer line drawings have replaced the grainy B&W photos, but the original version should be still in the image file somewhere.
The wires are described as being braided in the Lugano report, but as 15 Ga in the patent application. My guess is that the braided wire is effectively/roughly 15 Ga, since 3 mm diameter wires would be very hard to make with acceptable resistance characteristics. 15 Ga wire is difficult to imagine coming in the resistance specified, even as braided smaller diameter wires, so there is some uncertainty in the actual wire size used. The wire does seem to be fairly substantial compared to what most replicators have been using.
I can't tell if the image is just too pixelated or if the braids are actually visible in the image.