As you cannot use your account password anymore:
you need to generate an app password in https://bitbucket.org/account/settings/app-passwords/
You can embed the password into URL:
git clone https://$USER:$PASS@bitbucket.org/$USER/$REPO.git
As Git uses libcurl you can store password in the file .netrc:
machine bitbucket.org login USER password PAZZ
and avoid leaking it into shell history, ompare with the previous Git command:
git clone https://$USER@bitbucket.org/$USER/$REPO.git
Bitbucket recommends avoiding HTTPS and set up SSH key to access Git repositories: