Extracting dextromethorphan polistirex from delsym

I have taken some time to think through a hypothetical process for extracting DXM. To do this, I would use a 1000ml extraction funnel. First, I would pour a 5 oz bottle of delsym into the funnel and then add about the same amount of cold water. After thoroughly mixing them, I would wait approximately 5-6 hours to allow a couple of layers to form. The layer at the bottom should contain the DXM. Next, I would release the DXM from the funnel by turning the valve and letting it collect in a silicone tray positioned below. Finally, I would place the tray in a dehydrator to turn the substance into powder. Keep in mind that this is purely theoretical and should not be attempted.

Feel free to share your thoughts on this topic. I'm genuinely interested in hearing from anyone.