Hello
Thank you for your question and reaching out.
Recently the integrity check application has been undergoing updates to further expand the number of devices compatible with windows 11. It is true that some of the processors considered old were not being recommended for using windows 11, however this has been changed every week after week, because the idea is to reach as many users as possible with windows 11.
So, you shouldn't worry, as much as it doesn't seem to be "compatible" now, it will soon be, with the windows 11 integrity updates.
Also, I recommend that you post your question on the windows 11 forum, because there you will be greeted by an engineer from the windows 11 team, who has more recent information to pass on to you, to do this just use the link below and select the top option called "Ask a question" and describe the entire problem, including images:
https://answers.microsoft.com/en-us/windows/forum/windows_11
Additionally , you can still install Windows 11 on devices that don't meet minimum system requirements , but that method is not recommended though .
Below is Microsoft reference article.
https://support.microsoft.com/en-us/windows/installing-windows-11-on-devices-that-don-t-meet-minimum-system-requirements-0b2dc4a2-5933-4ad4-9c09-ef0a331518f1
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