Where on the lid is the crack?
Super Glues and epoxies can be hard to work with plus they can make quite a mess.
And many plastics are not suitable for gluing. Matching plastic to glue is problematic. Manufacturers who use plastic in products do not want those items to be glue-able /repairable. Will not go into that TLDR rant....
However, just for the record as a reference:
https://besttoolexpert.com/glue-for-plastic/
There are other similar links to be found.
What you might find more viable is the Crystal Clear Gorilla Tape.
It is becoming my "go to" choice for repairs such as cracks.
However, you must be careful as the clear tape does capture and show fingerprints on the sticky side.