/usr/include/tao/RTScheduling/ is in libtao-dev 6.0.1-3.
This file is owned by root:root, with mode 0o755.
..
/usr/include/tao/RTScheduling/Current.h
/usr/include/tao/RTScheduling/Distributable_Thread.h
/usr/include/tao/RTScheduling/RTScheduler.h
/usr/include/tao/RTScheduling/RTSchedulerA.h
/usr/include/tao/RTScheduling/RTSchedulerC.h
/usr/include/tao/RTScheduling/RTSchedulerS.h
/usr/include/tao/RTScheduling/RTScheduler_Initializer.h
/usr/include/tao/RTScheduling/RTScheduler_Loader.h
/usr/include/tao/RTScheduling/RTScheduler_Manager.h
/usr/include/tao/RTScheduling/RTScheduler_Manager.inl
/usr/include/tao/RTScheduling/RTScheduler_includeA.h
/usr/include/tao/RTScheduling/RTScheduler_includeC.h
/usr/include/tao/RTScheduling/RTScheduler_includeS.h
/usr/include/tao/RTScheduling/Request_Interceptor.h
/usr/include/tao/RTScheduling/ThreadAction.h
/usr/include/tao/RTScheduling/rtscheduler_export.h