Good pic!
It appears most if not all of the rear interior wall contains the "cold plate" as it seems like all of the condensation is back there.
Based on that I would expect the plumbing between the cold plate, compressor and evaporator would be along the bottom.
I presume this unit does not have a condenser under the floor, so it likely does use the exterior sheet metal for that function.
But I don't think I've seen that type of fridge using the
top sheet metal for condenser service - typically it's the sides and rear.
This is clearly important but should be easy enough to determine: turn it off long enough to reach room temperature on all sides, then turn it on and let it run for awhile (leave the door open if necessary) and compare the warmth on each side, the rear, and the top.
Last, the lighted thermostat may be the tricky bit: there'll be power to the thermostat and the light, and perhaps even a wire or capillary tube running to the evaporator for a sensor, and it's not uncommon for that/those to run across the top of mini-fridges. I think I'd be most worried about this part, so I hesitate to recommend drilling a small (1/8"d) hole from the inside up then probing around feeling for anything other than foam before carefully widening the hole until you can see inside. But that's what I'd probably try
Cheers!