One possibility is f the surrounding tower, lop it off, cut a slot in the easy out with a dremel cut off wheel. hopefully could get the easy-out to back out of the needle with a screw driver, If I was careful the tower could be JB welded back on.....
that was the first solution that came to my mind too !
cutting , sawing or grinding a slot with a mini grinder or hacksaw would release the compression on the screw and easyout .
Why not use low temperature aluminium welding rod to repair it rather than JB it will be a permanent welded repair then