I am finally able to do some measurements, though so far the images are so low res that these are mostly worthless measuremenes, surely lacking in precision. So this is mostly for fun.
First, using the panorama image of the shipyard with visible cranes and GE for measurement of nearby buildings present in both satellite images and the panorama image, i calculated the width of the crane to be 155 m. The width of the right side leg of the crane at its base (the eastern leg of the crane) is roughly 36.5 meters. Keep in mind that just because I go below a whole meter to describe the length, the precision of this could still be not just meters but possibly +/- 10 meters, due to various reasons.
The length of the module section is some 17.5 meters, and the width at its highest part is some 37.5 meters. Width of the cavity within the module is therefore 24 meters. Again, this could all be very much wrong... as the next paragraph will show.
Then, independently, using the latest image and what seems to be a person present, and assuming 1.75 m as height of the person, I got a whole different set of figures. i got the height of the cavity in the module to be 6.35 m, i got the width at the highest part to be 49 meters and i got width of the cavity to be ~33 meters. (it's hard to tell if side wall structures around cavity are both equally wide. it would appear they are not)
Hopefully there will be a satellite image available to us soon, at least with the crane present, if not the module itself.
For comparison, width the Kuznetsov carrier at the hangar deck height level seems to be roughly 42 meters.