So, if it is unlikely for most of us that we will be able to find and bridge the R313 transistor, then there are only two other solutions that I was able to find. TJig, which is about $60, or send phone to Samsung for warranty service (if still under warranty). My phone is still under warranty and I just sent my phone in to Samsung. The question remains, "will Samsung be able to see if a hard bricked phone is customized or has a flash count?" or do they even look. If phone hard bricked, one can boot the phone into download mode with the right equipment. Download mode reveals the flash count. If Samsung checks flash count, then I assume TJig may be my only option. Or maybe Samsung will offer to unbrick my "out of warranty" phone for less than the price of a TJig. Hard to say. I will post my results when I get them.
If you are out of warranty, you may try calling around to service providers. The S3 is still the most popular phone on the planet; there is a good chance that a serve provider somewhere has a TJig and would charge you $20 or so to fix your phone with it.
Please add to this post if you can contribute. Especially if you have gone the warranty route and can report what happened.