### 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_MAIN_THREAD_GUARD;
	Transform2D xform = get_screen_transform_internal();
	Vector2 gpos = xform.xform(p_position);
	Input::get_singleton()->warp_mouse(gpos);
}
void Viewport::_gui_sort_roots() {
	if (!gui.roots_order_dirty) {
		return;
	}
	gui.roots.sort_custom<Control::CComparator>();
	gui.roots_order_dirty = false;
}
void Viewport::_gui_cancel_tooltip() {
	gui.tooltip_control = nullptr;
	if (gui.tooltip_timer.is_valid()) {
		gui.tooltip_timer->release_connections();
		gui.tooltip_timer = Ref<SceneTreeTimer>();
	}
	if (gui.tooltip_popup) {
		gui.tooltip_popup->queue_free();
	}
}
String Viewport::_gui_get_tooltip(Control *p_control, const Vector2 &p_pos, Control **r_tooltip_owner) {