### 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)

GDCLASS(SubViewport, Viewport);
public:
	enum ClearMode {
		CLEAR_MODE_ALWAYS,
		CLEAR_MODE_NEVER,
		CLEAR_MODE_ONCE
	};
	enum UpdateMode {
		UPDATE_DISABLED,
		UPDATE_ONCE, 
		UPDATE_WHEN_VISIBLE, 
		UPDATE_WHEN_PARENT_VISIBLE,
		UPDATE_ALWAYS
	};
private:
	UpdateMode update_mode = UPDATE_WHEN_VISIBLE;
	ClearMode clear_mode = CLEAR_MODE_ALWAYS;
	bool size_2d_override_stretch = false;
	void _internal_set_size(const Size2i &p_size, bool p_force = false);
protected:
	static void _bind_methods();
	virtual DisplayServer::WindowID get_window_id() const override;
	void _notification(int p_what);
public:
	void set_size(const Size2i &p_size);
	Size2i get_size() const;
	void set_size_force(const Size2i &p_size);
	void set_size_2d_override(const Size2i &p_size);