In Python the __module__ attribute stands for the module name where a class or function is defined. However, modules themsevles do not have such attribute.
We propose to add a new attribute to LazyImport so that getting __module__ on the class does not trigger resolution of the lazily imported object.
This would solve #31643
Depends on #31650
Component: misc
Issue created by migration from https://trac.sagemath.org/ticket/31656