Pulse tig would be fine for that, although access is the biggest challenge I can see. It's not like it's 'structural' as such - you're only filling the divot in to smooth things off. I'm not sure why you would need a reamer for this job as well?
As far as laser welding - it's pretty good but I've had two mauser extractors built up and the same results as the laser welding apparently. I'd respectfully suggest the results are more indicative of the skill of the welder doing the work and also how well they know their gear. A good tig welder can weld two razor blades together autogenous (without filler) and that's also what a good laser welding fella can do.
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