### Tested versions

Godot Engine v4.2.stable.official.46dc27791

### System information

Windows 10

### Issue description

When exporting to web, Godot fails with this error in the console:

> scene/main/window.cpp:884 - Attempting to make child window exclusive, but the parent window already has another exclusive child. This window: /root/@<!-- -->EditorNode@<!-- -->17120/@<!-- -->Panel@<!-- -->13/@<!-- -->ProjectExportDialog@<!-- -->559/@<!-- -->VBoxContainer@<!-- -->137/@<!-- -->AcceptDialog@<!-- -->411, parent window: /root/@<!-- -->EditorNode@<!-- -->17120/@<!-- -->Panel@<!-- -->13/@<!-- -->ProjectExportDialog@<!-- -->559, current exclusive child window: /root/@<!-- -->EditorNode@<!-- -->17120/@<!-- -->Panel@<!-- -->13/@<!-- -->ProjectExportDialog@<!-- -->559/@<!-- -->ProgressDialog@<!-- -->17444

![a](https://github.com/godotengine/godot/assets/2000051/bf9d22aa-d3fe-4e11-bff6-c387e740fe90)

This happens for newly created empty projects.


### Steps to reproduce

1. Open the attached project (or create a new project).
2. Project->Export->Export All
3. Observe the console error.  No output files are generated.


### Minimal reproduction project (MRP)

[export_test.zip](https://github.com/godotengine/godot/files/13574810/export_test.zip)

".jpg", ".jpeg", ".png", ".gif",
		".wav", ".mp2", ".mp3", ".ogg", ".aac",
		".mpg", ".mpeg", ".mid", ".midi", ".smf", ".jet",
		".rtttl", ".imy", ".xmf", ".mp4", ".m4a",
		".m4v", ".3gp", ".3gpp", ".3g2", ".3gpp2",
		".amr", ".awb", ".wma", ".wmv",
		
		".webp", 
		".cfb", 
		".scn", 
		".ctex", 
		
		nullptr
	};
	for (const char **ext = unconditional_compress_ext; *ext; ++ext) {
		if (p_path.to_lower().ends_with(String(*ext))) {
			return false;
		}
	}
	
	if (p_data.size() >= 4 && p_data[0] == 'R' && p_data[1] == 'S' && p_data[2] == 'C' && p_data[3] == 'C') {
		
		return false;
	}
	
	return true;
}
zip_fileinfo EditorExportPlatformAndroid::get_zip_fileinfo() {