have you last version?Allow your customers to register and login the store using their username. Customers can create username of their choice or they can select one from the suggestions shown to them on the basis of their first name, last name & date of birth.
https://addons.prestashop.com/en/social-login-connect/45638-login-by-username.html
What's New in Version 4.0.3(04/29/2021)
- Unable to set a username for ps 1.7.7 is now resolved.
- Resolved the fatal error arising while updating username from account page and BO edit form in ps 1.7.7
- Show username suggestions when admin edits customer detail.
- Set max character limit for username
- Resolved text issues