What would be leaking if there is coolant on the passenger side motor mount only? The water pump area is dry and the LIM gasket is in good condition.

Head Gasket, LIM Gasket, Water Pump, Bypass Hose, Radiator Hose.

Where does the bypass hose connect to, that you area listing? Is it the skinny hose looping under the exhaust?

Bypass hose is on front side of motor top, small S shape almost about 4" long out of top of water pump tube to tube that runs under intake to back side of motor intake.

Well it's strange. It only leaked for a day and not very much. So I hope it does not come back.

Just keep tabs on the coolant levels....

Just replace passenger side engine mount.Was original hydraulic filled mount.
But It can be any of :
Same side engine components(gasket,harmonic balancer seal,power steering pump pipe connection or pulley seal)
Water hose or pump
Water reservoir with pumps

Try to locate area of wetness upper or lower level