Terminal for Wayland. Programs run in a background server, so they keep running after you detach a window, and you can attach again from another window, over ssh or from a console.
Warning
Caret runs only on Wayland, with no X11 support, and needs a Vulkan 1.3 driver. Mesa's software driver works on a machine without a suitable GPU.
On Fedora, from Copr:
sudo dnf copr enable sachesi/software
sudo dnf install caret
On Arch Linux, from the AUR: caret.
docs/installing.md has the openSUSE, Debian and Ubuntu packages, and how to build it yourself.
Caret is free software under the GPL, version 3 or later.