C# Plugin Compilation Errors Trigger Persistent "Cyclic Resource Inclusion"

### Tested versions

Reproducable 4.2.2 and 4,3,beta

### System information

Windows 11 - Godot Engine v4.2.2 OpenGL API 3.3.0

### Issue description

Creating or enabling C# plugins in Godot consistently triggers a "cyclic resource inclusion" error:

```ERROR: Another resource is loaded from path 'res://addons/Test/Test.cs' (possible cyclic resource inclusion). ```
This error persists even after recompiling the plugin with errors and attempting to create or re-enable other plugins.

### Steps to reproduce

1. Create a new C# plugin within Godot.
2. Introduce an error in the plugin's code, causing a compilation failure.
3. Attempt to create additional plugins or re-enable the existing plugin.
4. The "cyclic resource inclusion" error message will appear.

### Minimal reproduction project (MRP)

[GodotPluginTest.zip](https://github.com/user-attachments/files/15792763/GodotPluginTest.zip)

Additional Information:

The error seems to be triggered by a previous compilation failure in the C# plugin.
Clearing the plugin's cache or restarting Godot does not resolve the issue.
The error message suggests a circular dependency in resource loading, but the exact cause remains unclear.