Today I got some super glue from the dollar store because my special (and expensive) plastic glue from UHU does not work for softer plastic/ harder rubber. During my apprenticeship for dental techniques I was taught how to apply glue correctly. It's a science of its own.
There are strong glues out there like epoxy glues with 2 components or as mentioned above
Gorilla Glue.
What I found out today is, that you don't need to spend 4 bucks on a tiny tube of super glue that will harden within months. It has often happened to me that I used a drop only once and the glue inside the tube was hard by the second application.
The tube on the left was only 50 cents, the one on the right costs almost 10 times as much for ten times the amount, so they cost the same, but UHU Plast doesn't get the job done. So sometimes it matters which specific material you need to fix. The special plastic glue solves part of the rubber so it never cures.
Finding the right super glue isn't easy, that's why it's great that you started this topic,
Mandalore25. Cheers!