### 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)

co->_mouse_enter();
								} else {
									F->value = frame;
									
									if (mm.is_valid() && mm->get_device() == InputEvent::DEVICE_ID_INTERNAL) {
										send_event = false;
									}
								}
								HashMap<Pair<ObjectID, int>, uint64_t, PairHash<ObjectID, int>>::Iterator SF = physics_2d_shape_mouseover.find(Pair(res[i].collider_id, res[i].shape));
								if (!SF) {
									physics_2d_shape_mouseover.insert(Pair(res[i].collider_id, res[i].shape), frame);
									co->_mouse_shape_enter(res[i].shape);
								} else {
									SF->value = frame;
								}
							}
							if (send_event) {
								co->_input_event_call(this, ev, res[i].shape);
							}
						}
					}
				}
			}
			if (is_mouse) {
				_cleanup_mouseover_colliders(false, false, frame);
			}
		}
#ifndef _3D_DISABLED
		CollisionObject3D *capture_object = nullptr;
		if (physics_object_capture.is_valid()) {