### 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.
panel->set_theme_type_variation(SNAME("TooltipPanel"));
	
	
	Control *base_tooltip = tooltip_owner->make_custom_tooltip(tooltip_text);
	
	if (!base_tooltip) {
		gui.tooltip_label = memnew(Label);
		gui.tooltip_label->set_theme_type_variation(SNAME("TooltipLabel"));
		gui.tooltip_label->set_auto_translate(gui.tooltip_control->is_auto_translating());
		gui.tooltip_label->set_text(tooltip_text);
		base_tooltip = gui.tooltip_label;
		panel->connect("mouse_entered", callable_mp(this, &Viewport::_gui_cancel_tooltip));
	}
	base_tooltip->set_anchors_and_offsets_preset(Control::PRESET_FULL_RECT);
	panel->set_transient(true);
	panel->set_flag(Window::FLAG_NO_FOCUS, true);
	panel->set_flag(Window::FLAG_POPUP, false);
	panel->set_flag(Window::FLAG_MOUSE_PASSTHROUGH, true);
	panel->set_wrap_controls(true);
	panel->add_child(base_tooltip);
	panel->gui_parent = this;
	gui.tooltip_popup = panel;
	tooltip_owner->add_child(gui.tooltip_popup);
	Point2 tooltip_offset = GLOBAL_GET("display/mouse_cursor/tooltip_position_offset");
	Rect2 r(gui.tooltip_pos + tooltip_offset, gui.tooltip_popup->get_contents_minimum_size());
	r.size = r.size.min(panel->get_max_size());
	Window *window = gui.tooltip_popup->get_parent_visible_window();
	Rect2i vr;
	if (gui.tooltip_popup->is_embedded()) {
		vr = gui.tooltip_popup->get_embedder()->get_visible_rect();