Reviewed the problems on AppliancePartsPro’s website, and found out that the most likely cause of limited, to no Cold water was the Hot/Cold water inlet valve. I ordered the part from AppliancePartsPros.com and it was here in 2 days.
I followed the repair video provided by APP and it made the process go smoother.
Will use AppliancePartsPros.com again in the future. Highly recommended.