This is when smart gets stupid. I'm a bit worried about this with my nest and other smart devices, but even with normal air conditioners there are a few stupid simple problems that will cost you hundreds of dollars! A couple of weeks ago my AC blower fan stopped working, the compressor would run. I went up and found out that the capacitor was bad, and took a picture of it, buying a replacement. Took about 15 minutes…
Everyone reading this should find out what capacitor they need and buy one off Amazon, they're all I've done this repair myself, it takes maybe <15 minutes and is almost impossible to mess up. Even if you were find spending a couple hundred dollars to have someone come out and do it, you'd still go hours at least without AC. Which depending on the time of year can be miserable.
You don't need the same model number as the original cap, it just has to have the same voltage rating, capacitance, and number of terminals. You might have to get creative with the mounting solution if the new cap is different than the old one in terms of shape or size.
Also, pro-tip: when you replace a the cap in the outside unit, install it upside-down so that water doesn't pool on top of the cap and rust it out from the top.
I have a gas furnace and I also keep a spare ignitor handy. It's not a matter of "if" those go bad, it's "when."