C172 pilot reported taxiway excursion onto grass area while turning on a wet taxiway. Pilot regained control and returned to paved surface. Post flight inspection revealed damage to propeller.

Narrative

On Day 0; I rented the aircraft aforementioned from flight school for a VFR flight in the vicinity between XB30 to XE00. The runway and taxiway conditions were wet according to the XA:21 meteorological report; in which the airport reported heavy rain and thunderstorms; ending at XA:47. Preflight and runup checks were completed as normal and all systems showed safe parameters.Coming to a full stop landing after performing 11 touch and go practice approaches; ZZZ Ground Control instructed to taxi back to spot X ramp via: taxiway 1; 2; Runway XX; and taxiway 3 to ramp parking. When turning right into taxiway 3 from Runway XX; I missed the corner entrance of taxiway 3 and overrun the grass area further ahead of the same taxiway; as a result of aircraft speed and wet taxiway conditions that affected traction and consequently rate of turn.I instantly applied idle power and right brake to increase the rate of turn; but the aircraft momentum allowed it to come back at the taxiway pavement. Engine and rudder controls were still operating normally; therefore I proceeded to park the aircraft at the ramp area. After grounding the aircraft and notifying the flight school; significant damage was visible to the propeller blade during an inspection with the flight school's mechanic.