Your MacBook Air identity is not based on the operating system that you are running, but rather by its market introduction date string. You find that by selecting menu > About This Mac, and looking at the information in parenthesis on the product description line of that panel.
With the information from the above parenthesis, you use exclusively Safari to visit How to get old versions of macOS, check your hardware compatibility against what is required by Catalina, and if there is a match, then you visit the Mac App Store link to get the installer download. If your Air is not compatible with Catalina, you need to verify it against the hardware requirements for Mojave, and so forth until you are compatible.
You want to perform a Time Machine backup before any operating system upgrade. You also want to run the free Go64 application to see what 32-bit applications you currently have installed, as these will not be supported in Catalina. Likewise, you need to check with each third-party vendor, printer, and scanner vendor to see that you have product support in Catalina.