Just me, but that is what I would use, the stainable glue. I have not had the luck, that many have had with the CA glues. So I stay away from them. But, if it works for you, the is what is important. I have a very good way of over kill when it comes to repairs like this. I would glue it in as has been suggested and then once it is really firm, like after several days of drying. If you feel it may happen again on this joint, I would thin the wood in the barrel channel and below the stock line and glue in a backer piece of maple. You may not need this at all, but like I said, I always seem to over do it.