Yes keep trying for tyre replacement from Goodyear, with help of dealer. NCT5 is decent tyre. Tyre upgrade is always an option. And if side area of tyre is damaged, better to put spare tyre, even though it one size shorter and no alloy, that is safer option. Unless you plan to use spare tyre more, no need to spend money on that upgrade, that tyre will be hardly used, in whole life of your car.