### 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)

return !source.is_empty();
}
String CSharpScript::get_source_code() const {
	return source;
}
void CSharpScript::set_source_code(const String &p_code) {
	if (source == p_code) {
		return;
	}
	source = p_code;
#ifdef TOOLS_ENABLED
	source_changed_cache = true;
#endif
}
void CSharpScript::get_script_method_list(List<MethodInfo> *p_list) const {
	if (!valid) {
		return;
	}
	const CSharpScript *top = this;
	while (top != nullptr) {
		for (const CSharpMethodInfo &E : top->methods) {
			p_list->push_back(E.method_info);
		}
		top = top->base_script.ptr();
	}
}
bool CSharpScript::has_method(const StringName &p_method) const {