In a washer room no sink !!
Will it break the bank to put one in?
Depends what you call recent, IIRC the dedicated single receptacle exceptions to receptacles that otherwise required GFCI protection pretty much disappeared completely in 2005 NEC. Unless you are in a jurisdiction that is way behind on adopting current editions, it has been about 9 years now.IIRC, in one of the more recent editions of the NEC if not the current, it also didn't need a GFCI if 1) it was a single outlet receptacle and 2) a dedicated circuit; no matter where the sink was.