### 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)

Rect2 swrect = Rect2i(sw->get_position(), sw->get_size());
					if (!sw->get_flag(Window::FLAG_BORDERLESS)) {
						int title_height = sw->get_theme_constant(SNAME("title_height"));
						swrect.position.y -= title_height;
						swrect.size.y += title_height;
					}
					if (swrect.has_point(viewport_pos)) {
						viewport_under = sw;
						viewport_pos -= sw->get_position();
					}
				}
				if (!viewport_under) {
					
					viewport_under = embedder;
				}
			} else {
				
				Vector2i screen_mouse_pos = DisplayServer::get_singleton()->mouse_get_position();
				DisplayServer::WindowID window_id = DisplayServer::get_singleton()->get_window_at_screen_position(screen_mouse_pos);
				if (window_id != DisplayServer::INVALID_WINDOW_ID) {
					ObjectID object_under = DisplayServer::get_singleton()->window_get_attached_instance_id(window_id);
					if (object_under != ObjectID()) { 
						Window *w = Object::cast_to<Window>(ObjectDB::get_instance(object_under));
						if (w) {
							viewport_under = w;
							viewport_pos = screen_mouse_pos - w->get_position();
						}
					}
				}
			}