/usr/include/libnormaliz/ is in libnormaliz-dev-common 3.5.1+ds-4.
This file is owned by root:root, with mode 0o755.
..
/usr/include/libnormaliz/HilbertSeries.h
/usr/include/libnormaliz/cone.h
/usr/include/libnormaliz/cone_property.h
/usr/include/libnormaliz/convert.h
/usr/include/libnormaliz/general.h
/usr/include/libnormaliz/integer.h
/usr/include/libnormaliz/libnormaliz.h
/usr/include/libnormaliz/map_operations.h
/usr/include/libnormaliz/matrix.h
/usr/include/libnormaliz/my_omp.h
/usr/include/libnormaliz/nmz_integrate.h
/usr/include/libnormaliz/normaliz_exception.h
/usr/include/libnormaliz/sublattice_representation.h
/usr/include/libnormaliz/vector_operations.h
/usr/include/libnormaliz/version.h