Editor Viewport Settings is Forgetful! (Not saved in any manner)

### Tested versions

Reproduced in Godot v4.2.2.stable

### System information

Godot v4.2.2.stable - Windows 10.0.19045 - Vulkan (Forward+) - dedicated NVIDIA GeForce RTX 3070 Ti (NVIDIA; 31.0.15.3623) - 12th Gen Intel(R) Core(TM) i9-12900K (24 Threads)

### Issue description

Change the view settings to have a View Z-Near of 0.01 and a View Z-Far of 500.
Open another scene and it will reset to the defaults.

### Steps to reproduce

1. Open "scene a" and change the view settings to have a View Z-Near of 0.01 and a View Z-Far of 500.
2. Open "scene b" and look at the view settings, it will reset to the defaults.

### Minimal reproduction project (MRP)

N/A

Reproduce the issue in the Godot editor using two scenes, changing View Z-Near to 0.01 and View Z-Far to 500 before switching scenes. Trace the editor viewport settings handling; done means those values remain when moving between scenes.

Written by the indexing model from the issue text.