Here are your parts.
Replacement parts for General Electric GSD6660G00SS Dishwasher | AppliancePartsPros.com

Did you see how the repairman diagnosed the problem.

There are 3 devices involved with fill.
1. the control board.
2. the water valve.
3. the overfill switch.

Check the float on the overfill assembly. Sometimes it can get stuck in the up position. If it is then usually cleaning it will fix the problem.

If the overfill switch is being activated, check for 120 volts across the fill valve when it should be on.

If there is no voltage, check across the fill valve/overfill switch (they are wired in series).
If there is no voltage there, then the control board is probably toast.
If there is voltage, then check across the overfill switch. If there is voltage across the switch then the switch is shot.

If there is 120 volts across the fill valve then either the fill valve needs replacing or it's filter needs cleaning.
There is a screen filter built into the input side of the valve. Remove the valve from the unit and check/clean the screen filter.
Do not permanently remove the screen filter from the valve as it is there to keep crud out of the valve which could hold it open and cause a flood.