Seems like the Kitty icon displays in the tasklist only if I use Ctrl+Shift+n to open new_os_window. I tested this with the binary install and with building from source. The kitty.desktop file works fine and it displays correctly in the Xfce menu.
Before:

After using Ctrl+Shift+n the new window has the correct icon:

Seems like the Kitty icon displays in the tasklist only if I use
Ctrl+Shift+nto opennew_os_window. I tested this with the binary install and with building from source. Thekitty.desktopfile works fine and it displays correctly in the Xfce menu.Before:
After using
Ctrl+Shift+nthe new window has the correct icon: