Can not select the "default GPU" in MXLinux

Your low-end nvidia gpu likely doesn’t support listing processes using nvidia-smi.
In offload mode, you can run applications on the nvidia gpu like given in the link:
__NV_PRIME_RENDER_OFFLOAD=1 __GLX_VENDOR_LIBRARY_NAME=nvidia glxinfo | grep vendor
If you want to set the nvidia gpu as primary, create
/etc/X11/xorg.conf.d/10-nvidia-primary.conf

Section "OutputClass"
    Identifier "nvidia"
    MatchDriver "nvidia-drm"
    Driver "nvidia"
    Option "PrimaryGpu" "yes"
EndSection

and set your DM/WM to run

xrandr --setprovideroutputsource modesetting NVIDIA-0 && xrandr --auto

on startup.