Frankly I have a problem with one of your problem as described. Who on the planet Earth creates a container with GCC, may I guess, to compile programs? and then complains about make being located in another container. If you miss some utility just convert the apptainer container to a sandbox, install utilities you need and convert the sandbox to .sif as needed.

Also the whole point of building the program using compilers/libraries in the container is to use such container to run the aforementioned program in that very environment and not worry about libraryX or utility Y not installed in some box in a galaxy far, far away...