I had spent a while looking for this particular song. I went through a playlist of the official OST for Judgment (Judge Eyes), but I couldn't find it. So I did a quick recording while in PS4 Remote Play and this is the result.
I don't know the name of the actual song, but I figure Cornered works since it's mostly played during information reveals. I'll update the description accordingly if I ever find out more information. As for now, enjoy this version. I tried to edit it down a bit so it actually feels like an OST song.
I don't own the song. All rights go to SEGA and Ryu Ga Gotoku Studios.