Copper line for refrigerator being used as a ground...
You need to find out exactly what that wire is from, disconnect it, and if it is ground to an electrical device, and the device has no ground, you need to disconnect it to, and pull new wire and provide a ground as required.
This sounds really wrong, if you are not capable of sorting this out, you might want to have an electrician at least have a look at it.
Once that is resolved, pex or poly line would be the way to go.
When its all said and done there is usually more said than done
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