Hide Cygwin/X taskbar

[Ghaan Torham]

Is it possible at the moment to hide Cygwin/X taskbar window somehow?
(I can hide its taskbar icon). I run TinyFugue via rxvt and I want to
run it on the desktop like this -> http://www.ghaan.net/cygwin.jpg

I can remove the taskbar icon, window border, but I'd like to remove
from taskbar completely (also the taskbar window) and disable it for
alt+tab Windows switching, so in fact the window would be completely
disabled against moving and only way to get focus would be to click on
Cygwin window on the desktop.

Thanks for help and tips in advance.

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