You ever hear of that thought question “Does soap get dirty”?

if the sock did get clean, then the stuff making the sock dirty… went somewhere. I submit that not only did your sock not get clean, it made the other clothes not clean, too.

No

if your hands were covered in mud and you dried the mud, would your hands be clean or covered in dried mud?

Nn…ooo???

It’ll make it warm and dirty.

Do you really need that sock clean? Hand-wash it in the sink with soap or detergent, wring it, then add it to the dryer.