I noticed that our automatic icemaker is not making ice.

I checkd the tube that goes from the water pipe into the pump on the back of the fridge. It had a steady stream of water coming from it.

I checked the tube going from the pump into the icecube tray. There was no water coming out of this tube.

I proceeded to check for blockages in the tube that filles the ice tray and removed the ice tray to thaw it out.

After I thawed out the ice tray and dried it off, I reattached it, it had power because of the LED light was lit, there were no blockages, but still no ice.

Im thinking there might be something wrong with the pump, but I'm not to savvy about appliance repair. I would like other opinions about my troubleshooting before I run out to buy a new pump

Thank you for your time
John