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Nice idea about the variety of possible Doctors.  What could also be
included in the buy-back using the 'new life' token is the application
of generation of new potential powers for the new Doctor.  And would this
apply to the Master?.

This can be a simple list of possible 'king' types.  If they are to be
selected randomly, the number of them ought to reflect a multiple of a
common die(6).  These different 'king' types can be of a wide variety,
from the simple stepping 'king' to the powerful leaping 'emperor'.

But might this regeneration reflect any of the common Chess moves.  For
example: Pawn, Knight, Bishop, Rook, Queen or King.  That makes six. ;-)

But rather than a random selection of the potential types, the player
might have a list of potentials to choose from.  And each could only be
chosen once.  Such can be up to the discretion of the player, or the
opponent.

With the 'new life' token and the changing nature of the goal piece,
this game would be very interesting play.