### Godot version

v4.1.dev.custom_build [18112ba36]

### System information

Linux Mint 21.1, NVIDIA GeForce GTX 1050 Ti,  Vulkan API 1.3.205

### Issue description

This is a regression from #64388. 

Textures seem to be used differently in 2D and 3D. They are rendered using the `RID` in 3D, and changing the `viewport_path` will cause the `RID` to change.

https://github.com/godotengine/godot/assets/30386067/ad393fe8-50c1-4a89-870d-58d4e224bcc6


### Steps to reproduce

1. Download and import MRP.
2. Open 1.tscn, and try to switch the `viewport_path` of the `MeshInstance3D:mesh:material:albedo_texture` in the MeshInstance3D node.
3. After switching, the MeshInstance3D is rendered as white in the editor;
4. Close and then reopen 1.tscn.

### Minimal reproduction project

[ViewportTexture-change-viewport_path.zip](https://github.com/godotengine/godot/files/11509010/ViewportTexture-change-viewport_path.zip)

ERR_READ_THREAD_GUARD_V(false);
	return use_xr;
}
void Viewport::set_scaling_3d_mode(Scaling3DMode p_scaling_3d_mode) {
	ERR_MAIN_THREAD_GUARD;
	if (scaling_3d_mode == p_scaling_3d_mode) {
		return;
	}
	scaling_3d_mode = p_scaling_3d_mode;
	RS::get_singleton()->viewport_set_scaling_3d_mode(viewport, (RS::ViewportScaling3DMode)(int)p_scaling_3d_mode);
}
Viewport::Scaling3DMode Viewport::get_scaling_3d_mode() const {
	ERR_READ_THREAD_GUARD_V(SCALING_3D_MODE_BILINEAR);
	return scaling_3d_mode;
}
void Viewport::set_scaling_3d_scale(float p_scaling_3d_scale) {