Private account details
Settings → Account holds your name, your account address, phone number and the email you sign in with. These are used for your account, billing and support, and are not shown to customers.
Public details
What customers see comes from Booking Page → Locations — the public address, phone and email you choose to publish.
The one shared field
Your business name is used in both places.
Changing the email you sign in with
Settings → Account → Login email → Change login email. We send a code to your current email to confirm it is you, you enter the new address, then we send a second code there. The change happens once both codes are confirmed, and your old address stops working for sign-in. If you sign in with Google, your login email is managed by Google and cannot be changed here.
Password and two-factor authentication
Those live under Settings → Security.