Metal screw stuck in middle of deep plastic (resin) hole
I would push the screw out the way it went in. That is I would use something soft like a wooden dowel to push against the point of the screw. It may help to first drill a small pilot hole in the end of the dowel that the point of the screw can go into, then turn the dowel clockwise as you push it in. turning the dowel has a chance to turn the screw and this will help the screw head move out of the hole.