If neither bit works and you are dealing with smaller screws, the Alden Grabit screw extractors only need a little depression to grab and the back of an allen or torx or even a phillips is usually enough or you can drill it a little deeper with the other side of the tool. The hole is nothing like what is needed by most extractors. I have seen similar tools under brand names like Master Mechanic and Speedout but have not tried them but they look identical.
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