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With all due respect to the guys that like their screw extractors, if the bolt itself wasn't strong enough to come out without breaking, how do you expect the smaller easy out to get it out? OK, I've said my piece on that, and back to the problem. A drill bit normally will not drill another drill bit (or easy out). What I'd do to save that situation is grind away the aluminum alongside the broken bolt, remove the bolt sideways through the ground slot you made, then take it to a qualified aluminum welder to fill in the slot. Then redrill and tap the hole.
Had a similar problem with the exhaust to block bolts on a 15hp. Drilled the center, then upped bit size and ended up helli coiling. Not perfectly central but did the job. S/S is a bugger to drill out of ali though. Drill press helps.
How would you use a drill press on this particular job ???-----Shop will likely slice the housing.-----Pull the bolt out sideways.------Fill cavity by welding.---Redrill and tap to be like new.