An air pump rightly goes with your tubeless tire. Without an air pump, you will not be able to make the maximum of your tubeless tire. So, even if you could have reached the garage a few miles ahead, you will be stranded without an air pump.
It is not only recommended that you carry an air pump but also a puncture kit for your tubeless tires. You can easily buy a puncture kit from a local shop or from websites like eBay.