### Godot version

4.0.3-stable

### System information

Windows 10

### Issue description

In some projects ViewportTexture remains pink and doesn't render viewport content after upgrading from 4.0.2-stable to 4.0.3-stable. If a pair of files viewport.h/viewport.cpp are downgraded back to what they were in 4.0.2-stable, problem goes away.

This is how it looks in 4.0.3-stable:
![4 0 3_stable_viewport_4 0 3](https://github.com/godotengine/godot/assets/1449921/44c191a9-4b67-4b02-90b6-4ab615f62a73)

And this is how it looks if viewport.h/viewport.cpp are downgraded back to what they were in 4.0.2-stable.
![4 0 3_stable_viewport_4 0 2](https://github.com/godotengine/godot/assets/1449921/f5abc605-f129-4222-9c0e-e9a07621dd9d)



### Steps to reproduce

Unfortunately, I cannot come up wit a simple demo project reproducing the problem. It exists in some projects and doesn't exist in others.


### Minimal reproduction project

Cannot produce a simple project reproducing the problem. In simple projects it works fine.
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()) {