The constantly dripping water is a sure sign of bad water inlet valve.
There are two different valves listed for your model number. If the serial number starts with 10 and up to 19 the correct valve is
Part number: AP4026239
If it's 20 and up
Part number: AP4026989
Here are the breakdown diagrams and 02-Cabinet parts for Maytag LAT8626AAE - AppliancePartsPros.com
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