Godot export release doesn't pack enough data from C#

### Tested versions

Godot 4.4.dev4.mono

### System information

Ubuntu 24.04

### Issue description

I'm exporting a project using Docker, which invokes Godot through the terminal with the following command:

```bash
godot.4.4.dev4.mono "path-to-my-project.godot" --export-release "Headless" --headless --quit
```

However, when I run the app, it doesn't behave as expected
### Steps to reproduce

**Reproduce via UI:**

1. Open the MRP project and create the export folder.
2. Export the project with the "Export All" -> "Release" option.
- Alternatively, click "Export Project..." and uncheck the "Export with Debug" option.

**Reproduce via command line:**

Run the following command:

```bash
./Godot_v4.4-dev_mono_linux.x86_64 "/home/ubuntu/GodotProjects/azheir/azheir/project.godot" --headless --export-release Headless --quit
```

### Minimal reproduction project (MRP)
[azheir.zip](https://github.com/user-attachments/files/17776222/azheir.zip)

To verify if the project export was successful, simply run the executable. It should print **Hello world** on startup.