You should not put food in a clothes dryer because of bacterial contamination.
If you need the spinach to be dried, you will need a food dehydrator.
If it is to be used in filling, most fillings don’t require the spinach to be dried; just excess water removed.
I don’t think spinning the spinach works well at all. I prefer to press the water out.
I use a ricer to squeeze out most of the water. In commercial kitchens they press in a chinois (conical) strainer with a pestle.
After pressing, layer between paper towels on a baking sheet, and press out any remaining water between the paper towels.
My ricer is for residential use, so it’s small, but they make them for commercial use; check restaurant supply stores
Example of a chinois (conical) strainer and pestle. The come in different sizes; you will have to look for one in a restaurant supply store since they are not commonly used in the home kitchen anymore.