The video tutorials are made only for libraries available for wide public and distributed without any specific restrictions.
But, at principle, there is nothing magic on the library integration and you can find set of snapshots of the directory structure and compiler settings at dedicated STL user guide.
Just copy paste all the content of the ...Middlewares\ST\STM32_Safety_STL directory into your project one, add all the source files from the SRC dir into your project, include the library INC dir into your project additional directories, force your linker to include STL as an additional library (to include the object file from LIB dir) and follow all the other steps described at chapter "Steps to build an application from scratch" at STL user manual to parametrize the library, those are mostly application dependent actions. Once you do this you can build up your own sequence of API calls within your program flow. Don't forget to apply proper post build CRC tool command, too.
At case of concrete problem pls address it to your local FAE.
Best regards,
Petr