### 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.
ERR_MAIN_THREAD_GUARD;
	Transform2D xform = get_screen_transform_internal();
	Vector2 gpos = xform.xform(p_position);
	Input::get_singleton()->warp_mouse(gpos);
}
void Viewport::_gui_sort_roots() {
	if (!gui.roots_order_dirty) {
		return;
	}
	gui.roots.sort_custom<Control::CComparator>();
	gui.roots_order_dirty = false;
}
void Viewport::_gui_cancel_tooltip() {
	gui.tooltip_control = nullptr;
	if (gui.tooltip_timer.is_valid()) {
		gui.tooltip_timer->release_connections();
		gui.tooltip_timer = Ref<SceneTreeTimer>();
	}
	if (gui.tooltip_popup) {
		gui.tooltip_popup->queue_free();
	}
}
String Viewport::_gui_get_tooltip(Control *p_control, const Vector2 &p_pos, Control **r_tooltip_owner) {