Thank you J.Belknap,
At 3,000 km after the repair the vehicle stopped counting…but keeps driving.
Now I have another issue with the vehicle – my DSC unit had started malfunctioning lighting up my dashboard with warning lights, switching the transmission into fail safe mode, and making the temperature gauge go crazy. So I removed the DSC and sent it out for repair. I keep driving the car with four warning lights on and speedometer disabled (use the GPS as the speed indicator), but the tranny behaves now (does not go to the failsafe mode) and the temperature gauge is back to normal. I think I killed the DSC by jump-starting the vehicle after I had drained the battery at my last camping/fishing outing.
…Almost started forgetting to pay extra attention to the oil pressure gauge. The pressure, however, is fine – the warning light goes out right after the engine cranks and never goes up even at idling.