Unable to replicate First/Second 3D shader, FastNoiseLite change?

[NohbdyHub]

Your Godot version:
Godot v4.3.stable

Issue description:
Using the settings in the documentation, the Normalmap generated by NoiseTexture2D does not correspond to the Noise used for the plane's height. I have yet to test an older Godot version

To reproduce:
Follow current documentation (PlaneMesh with 32x32 subdivisions, copy shader code at end of documentation, set Noise/Normalmap parameters as below, which should be the same as the documentation.)

URL to the documentation page:
https://docs.godotengine.org/en/stable/tutorials/shaders/your_first_shader/your_first_3d_shader.html

[NohbdyHub]

Issue also applies to Godot v4.0.4.stable. The setup in the documentation seems to work without issue in Godot 3.6.

[tetrapod00]

Related: #8077, #8553