I did not realize a Flatpak exists (apparently for several years): https://flathub.org/apps/io.podman_desktop.PodmanDesktop

It's an electron app, so if you're on Wayland executing like this will make it look decent: flatpak run io.podman_desktop.PodmanDesktop --enable-features=UseOzonePlatform --ozone-platform=wayland (after also enabling the wayland socket permission).