How do I change my email address
How do I set up my MacBook Air Mail for my personal Gmail account?
MacBook Air 13″, macOS 12.1
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To change Apple ID see the article Change your Apple ID - Apple Support
If you already have a mail address say example1@gmail.com set up with web account it can be added in internet accounts , it will be your personal gmail account , but it will not be an Apple ID ( an apple id is already signed in Mac system preferences ) .
See the articles .
Use your Internet accounts on Mac - Apple Supporthttps://support.apple.com/en-au/guide/mac-help/mh35565/mac
Add an internet account - Apple Supportsupport.apple.com › guide › mac-help › mac