### 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)

#else
		add_message(EXPORT_MESSAGE_WARNING, TTR("Code Signing"), TTR("Could not start osslsigncode executable. Configure signtool path in the Editor Settings (Export > Windows > osslsigncode), or disable \"Codesign\" in the export preset."));
#endif
		return err;
	}
	print_line("codesign (" + p_path + "): " + str);
#ifndef WINDOWS_ENABLED
	if (str.find("SignTool Error") != -1) {
#else
	if (str.find("Failed") != -1) {
#endif
		add_message(EXPORT_MESSAGE_WARNING, TTR("Code Signing"), vformat(TTR("Signtool failed to sign executable: %s."), str));
		return FAILED;
	}
#ifndef WINDOWS_ENABLED
	Ref<DirAccess> tmp_dir = DirAccess::create_for_path(p_path.get_base_dir());
	err = tmp_dir->remove(p_path);
	if (err != OK) {
		add_message(EXPORT_MESSAGE_WARNING, TTR("Code Signing"), vformat(TTR("Failed to remove temporary file \"%s\"."), p_path));
		return err;
	}
	err = tmp_dir->rename(p_path + "_signed", p_path);
	if (err != OK) {
		add_message(EXPORT_MESSAGE_WARNING, TTR("Code Signing"), vformat(TTR("Failed to rename temporary file \"%s\"."), p_path + "_signed"));
		return err;
	}
#endif
	return OK;
}
bool EditorExportPlatformWindows::has_valid_export_configuration(const Ref<EditorExportPreset> &p_preset, String &r_error, bool &r_missing_templates, bool p_debug) const {