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My Air is also not officially supported but there is a whole community behind it to make it work
https://forums.macrumors.com/threads/macos-11-big-sur-on-unsupported-macs-thread.2242172/
https://forums.macrumors.com/threads/macos-12-monterey-on-unsupported-macs-thread.2299557/..oh wow, wasn't aware of these efforts.
Does it make sense though (does your old Air run the new OS well)?
My Air is also not officially supported but there is a whole community behind it to make it work
https://forums.macrumors.com/threads/macos-11-big-sur-on-unsupported-macs-thread.2242172/
https://forums.macrumors.com/threads/macos-12-monterey-on-unsupported-macs-thread.2299557/