Owning a car is a constant cycle of maintenance, and the alternator and battery are the parts that keep you moving when the temperature drops. Ignoring a weak battery is a gamble that usually ends with a tow truck when the first real frost hits.
You want to get this done before the weather turns because shops are less stressed and prices are more predictable. The total cost typically sits around $650, so aim to get the work finished by late autumn.
The 0% intro APR is a deadline, not free money. If you have a balance left when the 15 months end, you will start paying interest on whatever remains, which makes the repair much more expensive than you planned.