And it’s kind of disappointing. Highlight for spoiler:
During the Drill Machine sequence as the Enterprise comes out of its barrel role amidst destruction of the other Federation ships above Vulcan, we cut to an interior Enterprise bridge over the shoulder of Kirk that is looking out through the front viewscreen. In space, R2-D2 is floating in the debris from about the top middle of the screen to the bottom right.
An carbon sickness-calibur screenshot can be found at Oh No They Didn’t.