The piece of evidence that would most likely weaken the hypothesis that humans and chimpanzees share a more recent common ancestor compared to gorillas is:
Fossils of humans appear in deeper sedimentary rock layers compared to fossils of chimpanzees.
This evidence suggests that humans might be older and, if they are found in deeper layers, it implies they diverged earlier than chimpanzees, contradicting the cladogram's depiction of a more recent common ancestor between humans and chimpanzees.