I just had a wonderful result repairing an old bureau (with mirror) where the laminate exterior had gone bad, i.e., was coming up off the underlying wood on the surface of the main drawer.
Not shilling for a particular product, but I used Gorilla brand wood glue. (I'm sure that Elmers would work just as well here. Or perhaps readers of this site already know how to make their own? Horses' hooves? Not going there…)
Anyway, two possible points of interest to your blog-readership.
How to apply a clamp - and what kind to a large drawer. Didn’t want to take it apart…
Working with glue is messy, and it extrudes from the seams once the clamp is applied.
Great work repairing your bureau drawer, and thanks for sharing the story, Neill!