For xUbuntu 24.04 run the following:
Keep in mind that the owner of the key may distribute updates, packages and repositories that your system will trust (more information).
echo 'deb http://download.opensuse.org/repositories/home:/Pharaoh_Atem:/libcamera/xUbuntu_24.04/ /' | sudo tee /etc/apt/sources.list.d/home:Pharaoh_Atem:libcamera.list
curl -fsSL https://download.opensuse.org/repositories/home:Pharaoh_Atem:libcamera/xUbuntu_24.04/Release.key | gpg --dearmor | sudo tee /etc/apt/trusted.gpg.d/home_Pharaoh_Atem_libcamera.gpg > /dev/null
sudo apt update
sudo apt install libcamera