I stick with https://www.nerdfonts.com/font-downloads, I need the glyphs. This would be a good candidate for nerdification.
For Kitty, just install the Symbols Nerd Font (it's a fontset that contains only nerd symbols).
For Wezterm, you don't need to do anything, the glyphs are already built in.
There are non-ligature and non-monospace (for icons only - everything else is monospace) versions.