### Godot version

Godot 4.1 Release Candidate 1

### System information

Godot v4.1.rc1.mono - Windows 10.0.19045 - Vulkan (Forward+) - dedicated NVIDIA GeForce RTX 3080 (NVIDIA; 31.0.15.1694) - AMD Ryzen 7 3800X 8-Core Processor (16 Threads)

### Issue description

Godot 4.1 RC1 does not update the [Export]ed members or the name of a type/class in inspector when
- ... creating a new class.cs file that inherits from node/resource
- ... renaming a class from A.cs to B.cs
- ... removing and adding the class to a Node/Resource
- ... adding enum values to an existing enum (doesnt matter if its [Flags])
- ... adding/removing [Export] on any member variable
- ... (and probably more use cases)
![image](https://github.com/godotengine/godot/assets/45302427/d11a515e-47b6-40a8-af81-670407bfda1a)

It only works when Project > "Reload Current Project"
![image](https://github.com/godotengine/godot/assets/45302427/8de25a6f-d851-4d58-881b-673060d89741)


### Steps to reproduce

Create a new .cs file that inherits from a Node or Resource 
Assign it a Node/Resource
Add any sort of variables to the .cs file
Add the [Export] attribute to these variables/members
Build the Code using Alt+B
Watch what happens in the inspector: Nothing!
If nothing happens: Project > Reload Current Project

Test Project attached below

### Minimal reproduction project

[inspector-update-fails.zip](https://github.com/godotengine/godot/files/11886640/inspector-update-fails.zip)

r_script_binding.inited = true;
	r_script_binding.type_name = type_name;
	r_script_binding.gchandle = MonoGCHandleData(strong_gchandle, gdmono::GCHandleType::STRONG_HANDLE);
	r_script_binding.owner = p_object;
	
	RefCounted *rc = Object::cast_to<RefCounted>(p_object);
	if (rc) {
		
		
		
		
		rc->reference();
		CSharpLanguage::get_singleton()->post_unsafe_reference(rc);
	}
	return true;
}
RBMap<Object *, CSharpScriptBinding>::Element *CSharpLanguage::insert_script_binding(Object *p_object, const CSharpScriptBinding &p_script_binding) {
	return script_bindings.insert(p_object, p_script_binding);
}
void *CSharpLanguage::_instance_binding_create_callback(void *, void *p_instance) {
	CSharpLanguage *csharp_lang = CSharpLanguage::get_singleton();
	MutexLock lock(csharp_lang->language_bind_mutex);
	RBMap<Object *, CSharpScriptBinding>::Element *match = csharp_lang->script_bindings.find((Object *)p_instance);
	if (match) {
		return (void *)match;
	}
	CSharpScriptBinding script_binding;
	return (void *)csharp_lang->insert_script_binding((Object *)p_instance, script_binding);
}
void CSharpLanguage::_instance_binding_free_callback(void *, void *, void *p_binding) {