Unfortunately superglue has a low success rate with such things and has eliminated the possibility of solvent welding because it has contaminated the joint. It also limits the likelihood that epoxy will work without extra reinforcement.
If the plastic is ABS it can easily be solvent welded which can be done using clear PVC primer. Because it introduces zero foreign material if it doesn’t hold for some reason you can repair it with another attempt. Next is epoxy for plastic. Epoxies are extremely strong if they have a rough surface to adhere to and if they are actually mixed properly. If the joint is too badly compromised and needs extra reinforcement strips of fiberglass cloth can be saturated in epoxy and applied to the backside.