Reminds me of a brake cable bracket.
Same. That bracket (in the center) looks like the one that connects front / rear sections together (e.g.; two cables, one from each end). My Sierra has one; guessing the 360s use the same arrangement (haven't looked lately). Generally, the rear assembly branches out to a 'Y' arrangement to effect equal actuation of the rear brakes on each side.
Maybe some better pictures would help but following that "cable" would probably yield some answers.
Yeah... zooming out can sometimes be beneficial... as well as ancillary shots, when possible. It may be difficult to trace the cable remnants, but you should be able to find something. The cables are likely unsheathed for a good portion of their runs (so just a twisted wire arrangement). If you wanted a working e-brake, you should be able to purchase replacement sub-assemblies.
A lot of people would probably leave it, vs. the expense of replacing it, tbh, given its limited function (and this is coming from someone who much prefers a hand-operated e-brake and uses the ones on his vehicles religiously).