can macOS Monterey be updated to MacOS 13 or higher?

It is your Mac's hardware model (including the hardware model year and time of year) that controls whether and how far you can upgrade. Some Macs that can run Monterey can also run Ventura – and some can't.

macOS Ventura is compatible with these computers - Apple Support

Note that in the specific case of a MacBook Air, 2017 isn't good enough. You need 2018 to make the cutoff.

if your mac is too old to support the macos version that Microsoft requires for support then you can give libraoffice a try it support ms office files

Home | LibreOffice - Free and private office suite - Based on OpenOffice - Compatible with Microsoft

macOS Ventura 13 requires a 2017 or later Mac.