Darryl
Try a wood patch !
I tried super glue on one like it , that I had just put up with for years and then decided to fix , the first draw after the super glue she exploded !!!!!!!!!!!!!
I think it changed the compression load to far all at once !
It was not bamboo backed so maybe yours will handle the glue , I just did not want to share my bad times ,for your consideration !
Hope what ever you decide brings a smile !
Guy