/usr/include/PackageKit/ is in libpackagekit-glib2-dev 1.1.9-1ubuntu2.
This file is owned by root:root, with mode 0o755.
..
/usr/include/PackageKit/packagekit-glib2/
/usr/include/PackageKit/packagekit-glib2/packagekit.h
/usr/include/PackageKit/packagekit-glib2/pk-bitfield.h
/usr/include/PackageKit/packagekit-glib2/pk-category.h
/usr/include/PackageKit/packagekit-glib2/pk-client-helper.h
/usr/include/PackageKit/packagekit-glib2/pk-client-sync.h
/usr/include/PackageKit/packagekit-glib2/pk-client.h
/usr/include/PackageKit/packagekit-glib2/pk-common.h
/usr/include/PackageKit/packagekit-glib2/pk-control-sync.h
/usr/include/PackageKit/packagekit-glib2/pk-control.h
/usr/include/PackageKit/packagekit-glib2/pk-desktop.h
/usr/include/PackageKit/packagekit-glib2/pk-details.h
/usr/include/PackageKit/packagekit-glib2/pk-distro-upgrade.h
/usr/include/PackageKit/packagekit-glib2/pk-enum-types.h
/usr/include/PackageKit/packagekit-glib2/pk-enum.h
/usr/include/PackageKit/packagekit-glib2/pk-error.h
/usr/include/PackageKit/packagekit-glib2/pk-eula-required.h
/usr/include/PackageKit/packagekit-glib2/pk-files.h
/usr/include/PackageKit/packagekit-glib2/pk-item-progress.h
/usr/include/PackageKit/packagekit-glib2/pk-media-change-required.h
/usr/include/PackageKit/packagekit-glib2/pk-offline.h
/usr/include/PackageKit/packagekit-glib2/pk-package-id.h
/usr/include/PackageKit/packagekit-glib2/pk-package-ids.h
/usr/include/PackageKit/packagekit-glib2/pk-package-sack-sync.h
/usr/include/PackageKit/packagekit-glib2/pk-package-sack.h
/usr/include/PackageKit/packagekit-glib2/pk-package.h
/usr/include/PackageKit/packagekit-glib2/pk-progress.h
/usr/include/PackageKit/packagekit-glib2/pk-repo-detail.h
/usr/include/PackageKit/packagekit-glib2/pk-repo-signature-required.h
/usr/include/PackageKit/packagekit-glib2/pk-require-restart.h
/usr/include/PackageKit/packagekit-glib2/pk-results.h
/usr/include/PackageKit/packagekit-glib2/pk-source.h
/usr/include/PackageKit/packagekit-glib2/pk-task-sync.h
/usr/include/PackageKit/packagekit-glib2/pk-task.h
/usr/include/PackageKit/packagekit-glib2/pk-transaction-list.h
/usr/include/PackageKit/packagekit-glib2/pk-transaction-past.h
/usr/include/PackageKit/packagekit-glib2/pk-update-detail.h
/usr/include/PackageKit/packagekit-glib2/pk-version.h