This file is indexed.

/usr/share/gdm/greeter/applications/gnome-shell.desktop is in gdm3 3.18.3-0ubuntu2.

This file is owned by root:root, with mode 0o644.

The actual contents of the file can be viewed below.

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[Desktop Entry]
Type=Application
Name=GNOME Shell
Comment=Window management and compositing
Exec=gnome-shell --mode=gdm
X-GNOME-Autostart-Notify=true
X-GNOME-AutoRestart=true
X-Ubuntu-Gettext-Domain=gdm