If this is a new gun (as opposed to a new to you gun) you may want to put a few hundred rounds through it before doing anything.
The rationale behind shooting the new gun as it is would be to get familiar with the new gun and determine whether the tune being considered is desired or required at this point.On the better guns little accuracy is gained from a tune, if any. They may be smoothed a little, though they are usually quite good to start. The power level will not change greatly. The greatest benefit is eliminating spring noise, which doesn't really affect operation or accuracy.The new gun should be cleaned to remove manufacturing debris. Beyond that, shooting the gun and breaking it in will probably have a greater effect on accuracy than an owner tune up. A tune can not replace a break in.
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My rebuild was annoying and I had issues but it is mostly done.I'm still having some issues with the safety resetting ie I have to cock it twice but I might be to blame as I went a bit nuts with the clear tar and perhaps gummed things up a bit. Short of that I managed to loose a nut that was part of the trigger. It's the one for the rear trigger guard. None of the strip down advice I read mentioned that it might come loose.I think I'll have to fashion a replacement out of brass.Oh well, I guess it turned out ok considering the hurried windows of time I had to work on it.