I just thought I would add a couple of comments.
First, yeah, the supplied compressor should work without the goo. In fact, I would not use the goo unless it was absolutely necessary. Tire changers/fixers hate that stuff. Just inflate the tire and get to a garage as soon as possible. I have read many articles on the use of goo or anything that's similar such as fix-a-flat. While there is no real conscience as to the harm it may or may not do, the list of possible damage is long and not worth taking the chance in my opinion. Two of the most worrisome things for me is...if the tire fixer does not clean the goop out thoroughly, it may cause the tire to become unbalanced and the tire pressure sensor may not provide accurate measurements.
The other comment I would like to make is tire pressure and the easiest way to maintain the correct pressure as the seasons change. This is the first car I have had that monitors air pressure. Up until now, I just eyeballed my tires and put in some air if they looked a little low. lol...I know, not a very good practice. I always knew that temperature can affect tire pressure, I just didn't realize how much until I got these automatic tire pressure readings on my dash. Roughly speaking, a 10 degrees temperature difference equals about 1 pound of tire pressure difference. While it's impossible to always have the perfect tire pressure it's very important to add air when it gets colder and release air when it gets warmer. In other words, if your tire pressure is correct when it's 90 degrees, it will be underinflated by about 6 pounds at 30 degrees or visa versa. That's enough to cause poor handling and unnecessary tire wear.
When I realized this, I looked for a way to inflate my tires without the hassle of going to a gas station and spending quarters to inflate my tires. The supplied inflater would work, but it's kind of a hassle to use. There are many tire inflaters out there. Most require you to plug it into the accessory plugin or in a wall socket. However, there are some that are self-contained....they use a rechargeable battery pack much like a cordless drill. I won't post a direct link, but if you are interested in one...just Google cordless tire inflator...there are many to choose from. They are super easy to use and accurate. I keep it in my car at all times for both emergencies and to add a pound or two when necessary.