### 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)

Transform2D get_screen_transform() const;
	virtual Transform2D get_screen_transform_internal(bool p_absolute_position = false) const;
	virtual Transform2D get_popup_base_transform() const { return Transform2D(); }
	virtual bool is_directly_attached_to_screen() const { return false; };
#ifndef _3D_DISABLED
	bool use_xr = false;
	friend class AudioListener3D;
	AudioListener3D *audio_listener_3d = nullptr;
	HashSet<AudioListener3D *> audio_listener_3d_set;
	bool is_audio_listener_3d_enabled = false;
	RID internal_audio_listener_3d;
	AudioListener3D *get_audio_listener_3d() const;
	void set_as_audio_listener_3d(bool p_enable);
	bool is_audio_listener_3d() const;
	void _update_audio_listener_3d();
	void _listener_transform_3d_changed_notify();
	void _audio_listener_3d_set(AudioListener3D *p_listener);
	bool _audio_listener_3d_add(AudioListener3D *p_listener); 
	void _audio_listener_3d_remove(AudioListener3D *p_listener);
	void _audio_listener_3d_make_next_current(AudioListener3D *p_exclude);
	void _collision_object_3d_input_event(CollisionObject3D *p_object, Camera3D *p_camera, const Ref<InputEvent> &p_input_event, const Vector3 &p_pos, const Vector3 &p_normal, int p_shape);
	struct Camera3DOverrideData {
		Transform3D transform;
		enum Projection {