[Stable Update] 2022-06-12 - Kernels, Systemd 251, GNOME 42.2, KDE Gear 20.04.2, NVIDIA, Mesa, Pulseaudio, Pipewire, LibreOffice

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I’d suggest:

  • install the free driver
  • remove the non-free driver
  • update
  • install LTS kernel
  • reboot to LTS kernel
  • remove 5.16 kernel
  • install non-free driver
  • remove free driver
  • reboot

In case things go south, you may want to prepare a plan B beforehand: