"Install macOS Monterey.app" keeps downloading itself on my computer even though I am on macOS Ventura.

I have seen this happen but it is rare.

The Software on the Apple Servers sometimes mis-identify what is actually installed on the computer.

As said rare, but does happens

Would suggest gathering up as much details of the computer including the above Screen Shot.

Get Support Choose a product and we’ll find you the best solution.

Start now and open an Apple Support Ticket as they are Apple Employees to deal will these types of issues.

Perhaps they can escalate this issue to the Apple Software Engineers   for them to investigate this matter

In the interim - If possible ( Space Wise ) keep the Install Monterey application in the Applications folder until the Apple gets this sorted out.

Going this way, keeping the Installer around, hopefully this will stop the Apple Servers from re-downloading it Time and Time Again and using up your Bandwidth

I had the same problem , and the way i fixed it was contacting the support who gave me instruction to block safari popups and gave me this link: Block pop-up ads and windows in Safari - Apple Support

and then to delete that downloaded file "install macOs Monterey.app" and reboot in safe mode How to use safe mode on your Mac - Apple Support

and then it didn't appear again.

hope that this help anyone who has the same issue

Screen Shot of " About this Mac " if you would.

Without the Serial Number appearing in image

Do you have an older copy of macOS installed on external storage somewhere?