Hi Manuel, can you try a render to MagixAVC with Mainconcept? Does that work? You can keep GPU acceleration on in preferences/ video. It's only NV Encoder templates that are an issue with older drivers (if that's the problem you are facing).
You can download an earlier build of VP 23 from here. First uninstall VP 23.356 from add/remove programs.
I just tried a single clip (XAVXS)4K and rendered it to Magix HEVC 4K NVENC and it worked fine. (I am still on V23 356). I'm not sure that the render template for HEVC is broken. The P2200 GPU is based on Pascal architecture some versions do not encode H265 4K. The P2200 is not listed in the Nvidia encoding matrix.