### 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)

SUB_WINDOW_DRAG_DISABLED,
		SUB_WINDOW_DRAG_MOVE,
		SUB_WINDOW_DRAG_CLOSE,
		SUB_WINDOW_DRAG_RESIZE,
	};
	enum SubWindowResize {
		SUB_WINDOW_RESIZE_DISABLED,
		SUB_WINDOW_RESIZE_TOP_LEFT,
		SUB_WINDOW_RESIZE_TOP,
		SUB_WINDOW_RESIZE_TOP_RIGHT,
		SUB_WINDOW_RESIZE_LEFT,
		SUB_WINDOW_RESIZE_RIGHT,
		SUB_WINDOW_RESIZE_BOTTOM_LEFT,
		SUB_WINDOW_RESIZE_BOTTOM,
		SUB_WINDOW_RESIZE_BOTTOM_RIGHT,
		SUB_WINDOW_RESIZE_MAX
	};
	struct SubWindow {
		Window *window = nullptr;
		RID canvas_item;
	};
	
	VRSMode vrs_mode = VRS_DISABLED;
	Ref<Texture2D> vrs_texture;
	struct GUI {
		
		bool forced_mouse_focus = false; 
		bool mouse_in_viewport = true;
		bool key_event_accepted = false;
		HashMap<int, ObjectID> touch_focus;