@Expert_Knob_Twiddler this container image isn’t built for JetPack (those are prefixed with l4t, like l4t-jetpack, l4t-cuda, ect)
On JetPack 5, CUDA/cuDNN/TensorRT/ect get installed into the container (unlike on JetPack 4 where they were mounted from the host device). My recommendation would be to start with l4t-base and install your desired version of CUDA Toolkit into it. You could also attempt mounting your /usr/local/cuda-xx.x directory into the container.
I’ve personally only used containers with GPU acceleration that are derived from the l4t-base container (which is based on Ubuntu 20.04 for JetPack 5 - Ubuntu 22.04 support is slated for JetPack 6). I imagine there are various hiccups that you could encounter attempting to rebase it against 22.04, including the fact that you are deviating from the tested/supported versions included in JetPack.
I recall on JetPack 4, some users dist-upgrading their l4t-base with apt with varying degrees of success. Good luck and let us know how it goes!