I keep getting an error message saying update not found and to check if my Mac is compatible.

So before I explain my situation, here's some background on the Macbook Air I am using:

MacBook Air (13-inch, 2017)

Model #:A1466

Serial #:C0***1WK

1.8 GHz Dual-Core Intel Core i5 Processor

8 GB 1600 MHz DDR3 RAM

6000 1536 MB Intel HD Graphics

Mac OS Monterey 12.6.2

Situation: So here's the issue every time I upgrade to MacOS Ventura apparently I get the following error message:

So when I look this up on the App store and look under information it says its compatible with this Mac (see image below):

Ironically I did look up if this indeed would work on this MacBook Air yet Apple's website Suggests that it will not (see image below):

After looking at the specs in System report it confirms what the model identifier is:

I have come to the conclusion that I am confused whether MacOS Ventura will actually work or not, because the information from Apple's own website and what its telling me in the App Store completely contradict each other/don't match up. I am not sure but I assuming I can't upgrade to MacOS Ventura. At this point I am prepared in the near future to trade in this MacBook Air and buy a more current model, if I am stuck with MacOS Monetary fine, but I need to know if there is indeed a solution. I am hoping someone can help me,as that would be greatly appreciated. Thank you in advance!

Marshall W.

[Edited by Moderator]