@Wallinson Lima, To better assist you on this, just to clarify, have you provisioned the app/site on Azure App Service Web App? Could you please share more details about your requirement?
Just to highlight, see if [Repository Access Tokens in Bitbucket] (https://support.atlassian.com/bitbucket-cloud/docs/using-access-tokens/) works for your requirement. These tokens are connected to a repository, not a user, and can be used for scripting, CI/CD tools, and testing BitBucket-connected apps during development. You may leverage these tokens with the Git command line interface (Git CLI) in non-interactive programs and scripts such as build tools, automation scripts, and CI/CD applications