inspect.signature throws exceptions when things are imported in TYPE_CHECKING

[FabriceSalvaire]

Bug report

Bug description:

I am trying to generate stub files but inspect.signature throws exceptions when things are imported in TYPE_CHECKING. I tried to set globals but it doesn't help.
I don't see any hints in https://docs.python.org/3/library/inspect.html#inspect.signature and https://docs.python.org/3/library/annotationlib.html#annotationlib.get_annotations

CPython versions tested on:

3.15

Operating systems tested on:

Linux

[JelleZijlstra]

Use annotations_format=annotationlib.Format.FORWARDREF.