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I say just make a slice on the nut on the shock mount. It doesn't have to cut all the way through just enough to get past half way the thickness of the nut and then use a small chisel to finish it off. This should relieve the pressure off the nut and with the use of a vise grip you should be able to unscrew it. If not, then make another slice on the opposite side, use a chisel and the nut should be in two pieces. Remember you will make the cut on the face and NOT on the side of the nut. See pics. You also make the cut on the pointed side of the nut so as to give you more working space or area. I'm not sure what size bolt that is but if it looks like a regular stainless steel bolt, you can cut a little deeper but that will also cut through the threads. If this happens, just use a thread chaser or die to clean it up and reuse it or get another bolt.
As for the other bolt in a very tight space, patience is your friend on this one. You will just have to drill it out. First try to smooth the top with a dremel tool or even sand paper to make it even as much as possible. Using a center punch, punch it in the center. Start with a pilot drill bit, using an extension (rigid type NOT FLEXIBLE) for drill bits to get access. Drill about half an inch into it and then switch to a larger drill bit and larger until it is all gone. If the bolt is stainless you will need high carbon drill bits to do the job or use cobalt drill bits instead. Again nice and slow will do it. Goodluck.