When I have to extract bolt that has snapped off flush, I usually find a nut that is around the same size or perhaps marginally smaller, place it over the snapped end of the bolt and weld the nut to the bolt (inside the nut). Fill the inside of the nut with weld and then, before it cools down too much, put a spanner or socket on the nut and wind the bolt out - it will nearly always come out with this process.
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