Good news flu. This is an easy job with tig. Yep, you get to buy a new tool! 🙂
Weld a much larger bolt to that stud and after letting some penetrating oil soak you should be able to put a wrench/impact on you new welded bolt and walk it out.
Looks like a trunk lid or a hood. Either way, you have to be very careful about applying high heat as you will warp the sheet metal.