How do I stop my Kenmore coldspot side by side refrigerator model #106.54536400 from dripping at the door water spout?

A hissing or a sizzling or a buzzing sound or arching noise could be heard on self-defrosting models. This is made by when the water drips on the defrost heaters. On new refrigerators it is not unusual for the door to whistle or squeak. This happens because the gasket rubber material around inner perimeter of the door is sealing really tightly.

U have a restriction in drain tube under evaporator coil. So every time it goes into a defrost instead of going down the drain tube it is running over and out the front of fridge

Should be the water valve in the back. Over time the seals break down our debre in water will cause to leak. Sometimes new water filters will also cause small issues but shouldn't last long.

On the bottom rear of the refrigerator as you are looking at it from behind the left side where the water is feeding into there should be a double valve. 1 is for the water and the other to the icemaker. Many times that valve won't shut off, however the switch that dispenses the water is evidentially bad and needs to be checked if it is stuck open.

look for all/any drain holes and blow out/syringe with clorine bleach ,then check door seals for any air leaks.water in fridge is mainly condensation from warm food/replacement air when you open door.

Water dispensers don't work like a faucet. When depressed a circuit is made electrically to the water valve in the bottom back of the machine. Water is, if working normally, either 100% on or 100% off.
If you ask for water, and the supply is normal, but fails to stop except for dribble, then the dual valve in the back of the machine is not sealing properly, and a new valve will have to be fitted.

water started dripping from the bottom of the freezer door.

working fine but water keeps dripping on the top shelth.

Try to search for the solution within the manual: Kenmore Coldspot Model 106 Manual

The solenoid valve needs replacing, located at the back of the refrigerator. If you have well water you will need to install a filter on the supply line.