If you want to add "New Window with Profile..." to WezTerm, you can probably hack something into either `launch_menu` [1] (for starting different shells), or `augment-command-palette` [2] (for adding items to the command palette).
1. https://wezfurlong.org/wezterm/config/lua/config/launch_menu...
2. https://wezfurlong.org/wezterm/config/lua/window-events/augm...
Yeah, it takes some screwing around, but programming extremely specific features just the way you want them is peak WezTerm experience.