/usr/include/mutter/clutter-1.0/clutter/deprecated/ is in libmutter-dev 3.22.3-2.
This file is owned by root:root, with mode 0o755.
..
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-actor.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-alpha.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-animatable.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-animation.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-animator.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-backend.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-behaviour-depth.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-behaviour-ellipse.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-behaviour-opacity.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-behaviour-path.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-behaviour-rotate.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-behaviour-scale.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-behaviour.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-bin-layout.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-box.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-cairo-texture.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-container.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-frame-source.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-group.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-input-device.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-keysyms.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-list-model.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-main.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-media.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-model.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-rectangle.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-score.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-shader.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-stage-manager.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-stage.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-state.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-table-layout.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-texture.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-timeline.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-timeout-pool.h
/usr/include/mutter/clutter-1.0/clutter/deprecated/clutter-util.h