### 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)

if (gui.subwindow_drag != SUB_WINDOW_DRAG_DISABLED) {
		ERR_FAIL_COND_V(gui.currently_dragged_subwindow == nullptr, false);
		Ref<InputEventMouseButton> mb = p_event;
		if (mb.is_valid() && !mb->is_pressed() && mb->get_button_index() == MouseButton::LEFT) {
			if (gui.subwindow_drag == SUB_WINDOW_DRAG_CLOSE) {
				if (gui.subwindow_drag_close_rect.has_point(mb->get_position())) {
					
					gui.currently_dragged_subwindow->_event_callback(DisplayServer::WINDOW_EVENT_CLOSE_REQUEST);
				}
			}
			gui.subwindow_drag = SUB_WINDOW_DRAG_DISABLED;
			if (gui.currently_dragged_subwindow != nullptr) { 
				_sub_window_update(gui.currently_dragged_subwindow);
				gui.currently_dragged_subwindow = nullptr;
			}
		}
		Ref<InputEventMouseMotion> mm = p_event;