### 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)

OS::get_singleton()->shell_open(vformat("%s/contributing/development/compiling/compiling_with_script_encryption_key.html", VERSION_DOCS_URL));
}
void ProjectExportDialog::_enc_pck_changed(bool p_pressed) {
	if (updating) {
		return;
	}
	Ref<EditorExportPreset> current = get_current_preset();
	ERR_FAIL_COND(current.is_null());
	current->set_enc_pck(p_pressed);
	enc_directory->set_disabled(!p_pressed);
	enc_in_filters->set_editable(p_pressed);
	enc_ex_filters->set_editable(p_pressed);
	script_key->set_editable(p_pressed);
	_update_current_preset();
}
void ProjectExportDialog::_enc_directory_changed(bool p_pressed) {
	if (updating) {
		return;
	}
	Ref<EditorExportPreset> current = get_current_preset();
	ERR_FAIL_COND(current.is_null());
	current->set_enc_directory(p_pressed);
	_update_current_preset();
}
void ProjectExportDialog::_script_encryption_key_changed(const String &p_key) {