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This is a neat idea! I particularly like the care that was taken to avoid
allowing indirect checks by double-moves. (IE, the King being in check by
a combination of both the opposing player's moves.)
<p>
I'll note pedantically that while this game might have been inspired by
Alice Chess, it doesn't have the defining (to me) characteristic of Alice
Chess that moving forces a change between boards. I would describe this
more as a two level 3D Chess variant.
<p>
Chancellor and Marshall are both common names for Rook+Knight. The
common name for Bishop+Knight is Cardinal, although Archbishop and
Princess are used in a fair number of games as well (although Archbishop
is also used for other Bishop variants).
<p>
A game with 6x7 square boards, double-moves and swapping pieces? This
game vaguely resemble a distant cousin of
<a href='..//42.dir/mulligan-stew.html'>Mulligan Stew Chess</a>.