/usr/lib/x86_64-linux-gnu/libgtk-3.so.0 is in libgtk-3-0 3.10.8-0ubuntu1.4.
This file is owned by root:root, with mode 0o777.
It is a symlink to /usr/lib/x86_64-linux-gnu/libgtk-3.so.0.1000.8
/usr/lib/x86_64-linux-gnu/libgtk-3.so.0.1000.8