KinematicCharacterController gets stuck inside the collider when free falling

[VergilUa]

Got an issue with a following setup:

1. CC setup with collider set as cuboid;
2. Translation is set downwards (see as falling) and horizontal is set towards collider / wall;
3. CC gets pushed upwards only, instead of upwards and right (opposite side) of to depenetrate.
4. Which results in a CC getting stuck like so:

Zoomed in, it looks like this:

Any suggestions how to workaround this?

I've tried adjusting character offset to larger value, but that messes up the autostepping and still does not seems to be reliable enough.