### 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)

void _gui_remove_focus_for_window(Node *p_window);
	void _gui_unfocus_control(Control *p_control);
	bool _gui_control_has_focus(const Control *p_control);
	void _gui_control_grab_focus(Control *p_control);
	void _gui_grab_click_focus(Control *p_control);
	void _post_gui_grab_click_focus();
	void _gui_accept_event();
	bool _gui_drop(Control *p_at_control, Point2 p_at_pos, bool p_just_check);
	friend class AudioListener2D;
	void _audio_listener_2d_set(AudioListener2D *p_listener);
	void _audio_listener_2d_remove(AudioListener2D *p_listener);
	friend class Camera2D;
	void _camera_2d_set(Camera2D *p_camera_2d);
	friend class CanvasLayer;
	void _canvas_layer_add(CanvasLayer *p_canvas_layer);
	void _canvas_layer_remove(CanvasLayer *p_canvas_layer);
	void _drop_mouse_over();
	void _drop_mouse_focus();
	void _drop_physics_mouseover(bool p_paused_only = false);
	void _update_canvas_items(Node *p_node);
	friend class Window;
	void _sub_window_update_order();
	void _sub_window_register(Window *p_window);
	void _sub_window_update(Window *p_window);
	void _sub_window_grab_focus(Window *p_window);
	void _sub_window_remove(Window *p_window);
	int _sub_window_find(Window *p_window);
	bool _sub_windows_forward_input(const Ref<InputEvent> &p_event);
	SubWindowResize _sub_window_get_resize_margin(Window *p_subwindow, const Point2 &p_point);
	virtual bool _can_consume_input_events() const { return true; }