### 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_READ_THREAD_GUARD_V(SDF_SCALE_100_PERCENT);
	return sdf_scale;
}
Transform2D Viewport::get_screen_transform() const {
	ERR_READ_THREAD_GUARD_V(Transform2D());
	return get_screen_transform_internal();
}
Transform2D Viewport::get_screen_transform_internal(bool p_absolute_position) const {
	ERR_READ_THREAD_GUARD_V(Transform2D());
	return get_final_transform();
}
void Viewport::update_mouse_cursor_state() {
	
	Window *base_window = get_base_window();
	if (base_window) {
		base_window->update_mouse_cursor_state();
	}
}
void Viewport::set_canvas_cull_mask(uint32_t p_canvas_cull_mask) {
	ERR_MAIN_THREAD_GUARD;
	canvas_cull_mask = p_canvas_cull_mask;
	RenderingServer::get_singleton()->viewport_set_canvas_cull_mask(viewport, canvas_cull_mask);
}
uint32_t Viewport::get_canvas_cull_mask() const {
	ERR_READ_THREAD_GUARD_V(0);
	return canvas_cull_mask;
}
void Viewport::set_canvas_cull_mask_bit(uint32_t p_layer, bool p_enable) {