why I can't update my MacBook Air?

Try the following:

Click ▶︎ Software Update.

Need more help?

• Call Apple Support at 1-800-APLCARE. 📞
• International Support. 🌐
• Contact Apple Support. 📝
• Chat using Messages. 💬

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 get old versions of 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 get old versions of macOS - Apple Support

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

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

An early 2015 or later can be upgraded to the current version of Monterey macOS 12. See: How to upgrade to macOS Monterey - Apple Support

You can but you may be limited.

To what exactly are you attempting to upgrade? If it's to Monterey, certain Macs are not eligible. And that is an Apple decision.

https://www.cnet.com/tech/computing/macos-monterey-how-to-find-out-if-your-computer-is-compatible/

Your Mac appears to be in the acceptable list. What precisely is the issue?

Mac os update. But my macbooc update error.