I watch a lot of YouTube videos on guitar repair. Luthiers often use routered in quarter inch well fitting slab sawn hardwood “splines” to reinforce broken headstocks. If I were tasked to fix this one, I would probably go that route after talking with the owner about covering the repair with a plain rawhide wrap laced up on the bottom or a thin brass overlay (or partially inlet) and tacked to the stock. By covering it rather than trying to make it invisible, you could make a much sturdier repair with double splines about an inch or so apart on top and one or two on the bottom.
If the owner insists on a more invisible repair, pre-glue the joint - and then after, add one deep spline under the trigger guard rail and perhaps install one under a longer wrist inlay on top. But this wouldn’t be nearly as strong as gluing the neck joint - and after drying, adding 3 or 4 splines, glued proud and filed back to surface level. Note that almost all Luthier’s use wood glue for these repairs and not epoxy. Even for headstocks breaks that are sometimes under as much as 180 pounds of extra string tension. Also surgical tubing is often the preferred method of clamping a rounded glue joint. My 2 cents.