### 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)

Size2i get_size_2d_override() const;
	void set_size_2d_override_stretch(bool p_enable);
	bool is_size_2d_override_stretch_enabled() const override;
	void set_update_mode(UpdateMode p_mode);
	UpdateMode get_update_mode() const;
	void set_clear_mode(ClearMode p_mode);
	ClearMode get_clear_mode() const;
	virtual Transform2D get_screen_transform_internal(bool p_absolute_position = false) const override;
	virtual Transform2D get_popup_base_transform() const override;
	virtual bool is_directly_attached_to_screen() const override;
	void _validate_property(PropertyInfo &p_property) const;
	SubViewport();
	~SubViewport();
};
VARIANT_ENUM_CAST(Viewport::Scaling3DMode);
VARIANT_ENUM_CAST(SubViewport::UpdateMode);
VARIANT_ENUM_CAST(Viewport::PositionalShadowAtlasQuadrantSubdiv);
VARIANT_ENUM_CAST(Viewport::MSAA);
VARIANT_ENUM_CAST(Viewport::ScreenSpaceAA);
VARIANT_ENUM_CAST(Viewport::DebugDraw);
VARIANT_ENUM_CAST(Viewport::SDFScale);
VARIANT_ENUM_CAST(Viewport::SDFOversize);
VARIANT_ENUM_CAST(Viewport::VRSMode);
VARIANT_ENUM_CAST(SubViewport::ClearMode);
VARIANT_ENUM_CAST(Viewport::RenderInfo);
VARIANT_ENUM_CAST(Viewport::RenderInfoType);
VARIANT_ENUM_CAST(Viewport::DefaultCanvasItemTextureFilter);
VARIANT_ENUM_CAST(Viewport::DefaultCanvasItemTextureRepeat);
#endif