As Ralph stated, the MX-5 doesn't come with a spare, so we get a kit with a can of goop and an electric pump, but you don't have to hook up the can if you just want to inflate your tire with simple air.
I have a tiny electric compressor I travel with on all our road trips, and also a can of Slime Spair. Was "caught" with a flat in our car in the middle of Wyoming on a Saturday morning last July, and this tiny compressor, took it from 0 to 30 PSI within four months, and was able to find a service station to fix it (yeah luck). Does not take up much space and a lot easier than pumping up a 285/25/R19 tire by hand. And when we take a different car on a road trip, that little compressor always comes along. Stays home for around town driving for always AAA and similar.