  We propose new solutions to ultradiscrete Painlev\'e equations that cannot be
derived using the ultradiscretization method. In particular, we show the third
ultradiscrete Painelev\'e equation possesses hypergeometric solutions. We show
this by considering a lift of these equations to a non-archimedean valuation
field in which we may relax the subtraction free framework of previous
explorations of the area. Using several methods, we derive a family of
hypergeometric solutions.
