### 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;
	if (use_taa == p_use_taa) {
		return;
	}
	use_taa = p_use_taa;
	RS::get_singleton()->viewport_set_use_taa(viewport, p_use_taa);
}
bool Viewport::is_using_taa() const {
	ERR_READ_THREAD_GUARD_V(false);
	return use_taa;
}
void Viewport::set_use_debanding(bool p_use_debanding) {
	ERR_MAIN_THREAD_GUARD;
	if (use_debanding == p_use_debanding) {
		return;
	}
	use_debanding = p_use_debanding;
	RS::get_singleton()->viewport_set_use_debanding(viewport, p_use_debanding);
}
bool Viewport::is_using_debanding() const {
	ERR_READ_THREAD_GUARD_V(false);
	return use_debanding;
}
void Viewport::set_mesh_lod_threshold(float p_pixels) {
	ERR_MAIN_THREAD_GUARD;
	mesh_lod_threshold = p_pixels;
	RS::get_singleton()->viewport_set_mesh_lod_threshold(viewport, mesh_lod_threshold);
}
float Viewport::get_mesh_lod_threshold() const {