How to update my 10.10.5 OS X Yosemite?

The model year of a MacBook Air is available at Apple menu > About This Mac.

A mid 2009 MacBook Air can be upgraded to El Capitan 10.11.6 but no later version. See: How to download macOS - Apple Support

A late 2010 through mid 2011 MacBook Air can be upgraded to High Sierra 10.13.6 but no later version. See: How to download macOS - Apple Support

A mid 2012 MacBook Air can be upgraded to Catalina 10.15.7 but no later. See: How to download macOS - Apple Support

A mid 2013 and early 2014 MacBook Air can be upgraded to the latest version of Big Sur macOS 11 but no later. See: How to download macOS - Apple Support

An early 2015 and a 2017 MacBook Air can be upgraded to the latest version of Monterey macOS 12. See: How to download macOS - Apple Support

A 2018 or later MacBook Air can be upgraded to the current version of Ventura macOS 13. See: How to upgrade to macOS Ventura - Apple Support

..AshtonB55..

There are specific download links to get an upgrade for later macOS versions.

• How to download macOS - Apple Support

//support.apple.com/en-us/HT211683

And those are specific with details to get a download from this site.

Some of those are too new for an older mac OS to use; however 10.15.7 has a

few problems with hoping to get and use that. ~ You may need to choose a

not quite so new macOS, such as Mojave 10.14.6; before attempting Catalina.

Depending on the 'hardware build date model and year' the choices will vary.