Samsung RS265TDPN ice maker not dispensing enough water (with beep)

I have a Samsung RS265TDPN refrigerator which stopped producing ice last week. I've scoured the internet to figure out the exact cause, but I'm not quite sure and hoping someone here can help. Here's the situation:

I thaw out the bin and perform a reset. The ice dispenser arms and the bin bar move as expected. Then when water starts coming out it goes for about 2 seconds then stops and the fridge makes a single beep. Nothing then happens (no ice is dispensed, no additional water is dispensed).

Water pressure is not the issue, and the water dispenser for those two seconds is at a good level (it's not trickling out by any means). As all the physical traits are working properly, I'm guessing it's a sensor, but not sure if it's a sensor on the water valve, the dispenser, or the fridge's motherboard (hoping it's not this).

Has anyone come across this issue and identified which part is causing the water to shut off prematurely and make the fridge beep?

Parts (based on my research):

Ice dispenser - DA97-11092B

Water Valve - DA97-07827B