### 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.
mm->set_position(pos);
			Control::CursorShape cursor_shape = Control::CURSOR_ARROW;
			{
				Control *c = over;
				Vector2 cpos = pos;
				while (c) {
					if (!gui.mouse_focus_mask.is_empty() || c->has_point(cpos)) {
						cursor_shape = c->get_cursor_shape(cpos);
					} else {
						cursor_shape = Control::CURSOR_ARROW;
					}
					cpos = c->get_transform().xform(cpos);
					if (cursor_shape != Control::CURSOR_ARROW) {
						break;
					}
					if (c->data.mouse_filter == Control::MOUSE_FILTER_STOP) {
						break;
					}
					if (c->is_set_as_top_level()) {
						break;
					}
					c = c->get_parent_control();
				}
			}
			ds_cursor_shape = (DisplayServer::CursorShape)cursor_shape;
			bool stopped = over->can_process() && _gui_call_input(over, mm);
			if (stopped) {
				set_input_as_handled();
			}
		}