I have tried epoxy on just about every kind of plastic and it works on some types and not on others. You can always give it a try but slower set is usually the strongest. JB weld may work but get the overnight set for maximum strength.
I used to fix refer liners and the glue usually had a lot of MEK to melt the plastic.
A glue type called Weldon #16 seems to be the hottest glue for plastic that I have used. Sort of the same as model airplane glue back when we made plastic models and the glue smelled of solvent.
If you use that type of glue it is still best to let set overnight for maximum strength as it melts the plastic.
You may also be able to do some reinforcement with a longer screw past the break or make an insert out of a hollow metal tube,wood or plastic.
Bruce