New Update

What method is being use to attempt the upGrade to Monterey ?

What version of macOS is installed right now ?

Profile showing macOS 11.6 Big Sur.

There was another update to Big Sur version 11.6.1.

Has that been installed ?

Is one using the Software Update in System Preference >> Software Update?

Is one searching in Apple Apps Store.

An early 2015 MacBook Air is compatible. What happens when you try to upgrade? It does require 26GBs of available space.

You said "will not update for me." Are you able to sea that a download is available?

If so what happens when you download it?

Try to install it?

You're welcome.