Non-standard BLAS extension GEMMT was added in the latest version of OpenBLAS:
#3796
But this function is not mentioned in the wiki for OpenBLAS extensions:
https://github.com/xianyi/OpenBLAS/wiki/OpenBLAS-Extensions
It's also currently missing from the cblas.h header shipped by libopenblas-openmp-dev in debian12, but readelf confirms that the .so file contains the cblas and fortran variants of this new addition.