/usr/include/babeltrace/ is in libbabeltrace-dev 1.5.5-1.
This file is owned by root:root, with mode 0o755.
..
/usr/include/babeltrace/babeltrace.h
/usr/include/babeltrace/clock-types.h
/usr/include/babeltrace/context.h
/usr/include/babeltrace/ctf/
/usr/include/babeltrace/ctf-ir/
/usr/include/babeltrace/ctf-ir/clock.h
/usr/include/babeltrace/ctf-ir/event-class.h
/usr/include/babeltrace/ctf-ir/event.h
/usr/include/babeltrace/ctf-ir/field-types.h
/usr/include/babeltrace/ctf-ir/fields.h
/usr/include/babeltrace/ctf-ir/stream-class.h
/usr/include/babeltrace/ctf-ir/utils.h
/usr/include/babeltrace/ctf-writer/
/usr/include/babeltrace/ctf-writer/clock.h
/usr/include/babeltrace/ctf-writer/event-fields.h
/usr/include/babeltrace/ctf-writer/event-types.h
/usr/include/babeltrace/ctf-writer/event.h
/usr/include/babeltrace/ctf-writer/stream-class.h
/usr/include/babeltrace/ctf-writer/stream.h
/usr/include/babeltrace/ctf-writer/writer.h
/usr/include/babeltrace/ctf/callbacks.h
/usr/include/babeltrace/ctf/events.h
/usr/include/babeltrace/ctf/iterator.h
/usr/include/babeltrace/error.h
/usr/include/babeltrace/format.h
/usr/include/babeltrace/iterator.h
/usr/include/babeltrace/list.h
/usr/include/babeltrace/trace-handle.h