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Try not to use an easy out. Their wedgeing action just locks the stud tighter. And if they break off you will need a diamond burr to grind it out.
Use a good penetrating oil and heat..... for a couple of days.
you may be able to grab the small in with some vice grips to unscrew it.
If all else fails ... center punch the center of the stud and drill a small hole through the stud to lubricate the backside.
Barry
First thing I would do is remove all of the orange RTV and replace it with the proper gaskets. They are still available new and are inexpensive and will seal better in the long run.
Secondly, remove the coolant line and see if there is any part of the stud sticking out. If so, you may be able to heat the area around the stud and remove it with needle nose vice grips. If not, you're only option is to either drill it yourself or take it to a machine shop and have it done. Or replace the manifold with a good used unit.
I got a few of these handy extractors at Lowe's and they work just fine.
I used a center punch to make sure the drill bit stays in place and very carefully drilled a small hole maybe 1/8" deep, then used one of those handy guys i bought with my small impact driver and it came right out.