### 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)

if (p_target_sdk == -1) {
		p_target_sdk = DEFAULT_TARGET_SDK_VERSION;
	}
	String exe_ext = "";
	if (OS::get_singleton()->get_name() == "Windows") {
		exe_ext = ".bat";
	}
	String apksigner_command_name = "apksigner" + exe_ext;
	String sdk_path = EDITOR_GET("export/android/android_sdk_path");
	String apksigner_path = "";
	Error errn;
	String build_tools_dir = sdk_path.path_join("build-tools");
	Ref<DirAccess> da = DirAccess::open(build_tools_dir, &errn);
	if (errn != OK) {
		print_error("Unable to open Android 'build-tools' directory.");
		return apksigner_path;
	}
	
	Vector<String> dir_list = da->get_directories();