### 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)

Vector2 pos = p_pos;
	String tooltip;
	while (p_control) {
		tooltip = p_control->get_tooltip(pos);
		
		PopupMenu *menu = Object::cast_to<PopupMenu>(this);
		if (menu) {
			tooltip = menu->get_tooltip(pos);
		}
		if (r_tooltip_owner) {
			*r_tooltip_owner = p_control;
		}
		
		if (!tooltip.is_empty()) {
			break;
		}
		
		if (p_control->data.mouse_filter == Control::MOUSE_FILTER_STOP) {
			break;
		}
		if (p_control->is_set_as_top_level()) {
			break;
		}
		
		pos = p_control->get_transform().xform(pos);
		p_control = p_control->get_parent_control();
	}
	return tooltip;
}
void Viewport::_gui_show_tooltip() {