### 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)

#include "csharp_script.h"
#include "godotsharp_dirs.h"
#include "managed_callable.h"
#include "mono_gd/gd_mono_cache.h"
#include "signal_awaiter_utils.h"
#include "utils/macros.h"
#include "utils/naming_utils.h"
#include "utils/path_utils.h"
#include "utils/string_utils.h"
#ifdef DEBUG_METHODS_ENABLED
#include "class_db_api_json.h"
#endif
#ifdef TOOLS_ENABLED
#include "editor/editor_internal_calls.h"
#include "editor/script_templates/templates.gen.h"
#endif
#include "core/config/project_settings.h"
#include "core/debugger/engine_debugger.h"
#include "core/debugger/script_debugger.h"
#include "core/io/file_access.h"
#include "core/os/mutex.h"
#include "core/os/os.h"
#include "core/os/thread.h"
#include "servers/text_server.h"
#ifdef TOOLS_ENABLED
#include "core/os/keyboard.h"
#include "editor/editor_file_system.h"