### 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)

Vector<uint8_t> data;
		_load_image_data(splash_bg_color_image, data);
		store_image(SPLASH_BG_COLOR_PATH, data);
	}
	
	
	for (int i = 0; i < icon_densities_count; ++i) {
		if (main_image.is_valid() && !main_image->is_empty()) {
			print_verbose("Processing launcher icon for dimension " + itos(launcher_icons[i].dimensions) + " into " + launcher_icons[i].export_path);
			Vector<uint8_t> data;
			_process_launcher_icons(launcher_icons[i].export_path, main_image, launcher_icons[i].dimensions, data);
			store_image(launcher_icons[i], data);
		}
		if (foreground.is_valid() && !foreground->is_empty()) {
			print_verbose("Processing launcher adaptive icon foreground for dimension " + itos(launcher_adaptive_icon_foregrounds[i].dimensions) + " into " + launcher_adaptive_icon_foregrounds[i].export_path);
			Vector<uint8_t> data;
			_process_launcher_icons(launcher_adaptive_icon_foregrounds[i].export_path, foreground,
					launcher_adaptive_icon_foregrounds[i].dimensions, data);
			store_image(launcher_adaptive_icon_foregrounds[i], data);
		}
		if (background.is_valid() && !background->is_empty()) {
			print_verbose("Processing launcher adaptive icon background for dimension " + itos(launcher_adaptive_icon_backgrounds[i].dimensions) + " into " + launcher_adaptive_icon_backgrounds[i].export_path);
			Vector<uint8_t> data;
			_process_launcher_icons(launcher_adaptive_icon_backgrounds[i].export_path, background,
					launcher_adaptive_icon_backgrounds[i].dimensions, data);
			store_image(launcher_adaptive_icon_backgrounds[i], data);
		}
	}
}
Vector<EditorExportPlatformAndroid::ABI> EditorExportPlatformAndroid::get_enabled_abis(const Ref<EditorExportPreset> &p_preset) {