### 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)

#ifdef DEBUG_ENABLED
	
	if (p_object->get_script_instance()) {
		CSharpInstance *csharp_instance = CAST_CSHARP_INSTANCE(p_object->get_script_instance());
		CRASH_COND(csharp_instance != nullptr && !csharp_instance->is_destructing_script_instance());
	}
#endif
	StringName type_name = p_object->get_class_name();
	const ClassDB::ClassInfo *classinfo = ClassDB::classes.getptr(type_name);
	
	
	
	
	while (classinfo && (!classinfo->exposed || classinfo->gdextension || ignored_types.has(classinfo->name))) {
		classinfo = classinfo->inherits_ptr;
	}
	ERR_FAIL_NULL_V(classinfo, false);
	type_name = classinfo->name;
	bool parent_is_object_class = ClassDB::is_parent_class(p_object->get_class_name(), type_name);
	ERR_FAIL_COND_V_MSG(!parent_is_object_class, false,
			"Type inherits from native type '" + type_name + "', so it can't be instantiated in object of type: '" + p_object->get_class() + "'.");
#ifdef DEBUG_ENABLED
	CRASH_COND(!r_script_binding.gchandle.is_released());
#endif
	GCHandleIntPtr strong_gchandle =
			GDMonoCache::managed_callbacks.ScriptManagerBridge_CreateManagedForGodotObjectBinding(
					&type_name, p_object);
	ERR_FAIL_NULL_V(strong_gchandle.value, false);