Glue for inside tupperdor

I have these Spanish cedar trays inside my tupperdor, and one of them broke as you can see. I'm wondering what kind of glue would be good to glue it back together, but not have an effect on the sticks in there from chemical smells and whatnot.
0
Comments
@ScotchnSmoke sux lots of large wéiners. And tons of small ones.