Normals do not work properly with Shape Keys

[HyacinthArtist]

Godot version

3.5 and 3.5.1

System information

Windows 11, GLES3, NVIDIA GeForce RTX 3070 (472.12)

Issue description

Normals do not appear to work properly with Shape Keys, it breaks apart at the seams and warps in an unsightly way, I have tried this on 3.5 and 3.5.1 and I get the same problem, I do not get this strange warping in Blender, or even Godot 4.0

Here is a video/gif showing the problem https://i.imgur.com/TlyPqpi.mp4

I've been working on a very large game and the ability to have a custom character is a very important part of it. I have tried different ways of importing and nothing seems to make any difference. I'm not looking to swap to 4

In the below zip, all you need to do is go to shape keys and slide the 0 over to 1 and you should see all the many problems appear. The model is slightly different from the above GIF, I changed the seams on the back, but there are still many problems
Thank you for your time!

Steps to reproduce

I have a human model with baked in normals, and I have shape keys to change the gender of the character, I export as a GLTF, I import and apply the correct materials, and when I change the shape keys, that's when the problem starts.

Minimal reproduction project

Godot Shape Keys Problem.zip

[Calinou]

• Related to Normal map glitches, depth map crashes the driver when blend shape influence set to 1 #42620.

See the common workarounds listed in #63198.