Both the woman and ABC News admitted the authenticity of the video.
Source? I'm not seeing anything in either link that says ABC news admitted the authenticity of the video.
From the first link in the OP
In statements following the videos release, Robach and ABC News said that the 2015 story failed to reach their editorial standards.
"As a journalist, as the Epstein story continued to unfold last summer, I was caught in a private moment of frustration," said Robach. "I was upset that an important interview I had conducted with Virginia [Giuffre] didnt air because we could not obtain sufficient corroborating evidence to meet ABCs editorial standards about her allegations. My comments about Prince Andrew and her allegation that she had seen Bill Clinton on Epsteins private island were in reference to what Virginia [Giuffre] said in that interview in 2015. I was referencing her allegations not what ABC News had verified through our reporting."