Your idea is a good one, file then glue your chip back in, then blend everything. Good save on recovering that chip, otherwise the repair would be more complicated.
Does the tang require a lot of effort to pull free of the wood when you lift it out? If so before you do the repair do some wall scraping on the inside of the inlet. In other words loosen it up so that the tang still has a nice fit but lifts immediately out with very little resistance, when removed. I do all inlets this way, tang, trigger plates, etc. I do not want to have to use force to pull those out of their inlets, of course I do want them to fit well in the inlet without gaps. It is a close thing, to get the inlet just right so the part is easy lifting with no "tug."
Be sure your glue is completely dry before working the area.
dave
dave