Stuck brass in die, no rim or brass to drill, tap & turn out with threaded tool/bolt.
Don't scratch the nice smooth polished insides of the die with hardened cutting tools like taps & screw extractors causing ugly rough surfaces.
Many stuck case removers come with a extended hex nut having a threaded hole that fits the threaded end of the expander button & primer push out pin. The hex nut when turned pulls the expander with pin thru top of die, this will expand the brass neck thus compounding the stuck case problem. If possible, unscrew the expander/pin using needle nose pliers from die bottom. then remove threaded expander stem. This should enable a view of the stuck brass from die top. Then chemically attack the brass (copper & zinc) with a bore cleaning solution, like used inside of steel rifle barrels, containing ethanolamine, like Hoppe's foam. Let it soak overnight. Then neutralize using water & use a oversize bronze bore brush to drag the busted brass out of die - put rod thru die then screw on brush, then pull.
If this don't work send the die back to maker. Don't damage the steel die, despite being hardened it can be scratched.