How to change Apple ID on my MacBook Air?

Go to System Settings ➜ Apple ID and scroll down to the bottom of the page to see the "Sign Out" button.

You will need the password for it though.

click here ➜ Sign in or out of your Apple ID on Mac - Apple Support

Do you need to sign into a different Apple ID or update your Apple ID?

Update it here: Manage your Apple ID

Otherwise, to sign out, go to Settings and sign out and then back in with the other Apple ID.