### Godot version

4.2.dev3.official

### System information

Godot v4.2.dev3 - Windows 10.0.19045 - GLES3 (Compatibility)

### Issue description

The toggle button "Show Built-In Actions" in the "Input Map" tab of the Project Settings window does not keep its ON state after restarting the editor - it always resets to being OFF.

This is different than the behaviour of the "Advanced Settings" toggle button in the "General" tab of the Project Settings - this one does keep its state between editor restarts.

I'm not sure if what I am reporting is an issue or the intended behaviour.

### Steps to reproduce

1. Create a new project.
2. Go to Project -> Project Settings -> Input Map and toggle "Show Built-In Actions" button to ON.
3. Restart the Godot editor.
4. Check if the setting was kept or changed.

### Minimal reproduction project

N/A
String error = _check_new_action_name(p_name);
	add_button->set_tooltip_text(error);
	add_button->set_disabled(!error.is_empty());
}
bool ActionMapEditor::_has_action(const String &p_name) const {
	for (const ActionInfo &action_info : actions_cache) {
		if (p_name == action_info.name) {
			return true;
		}
	}
	return false;
}
void ActionMapEditor::_add_action(const String &p_name) {
	String error = _check_new_action_name(p_name);
	if (!error.is_empty()) {
		show_message(error);
		return;
	}
	add_edit->clear();
	emit_signal(SNAME("action_added"), p_name);
}
void ActionMapEditor::_action_edited() {