Bearer Tokens are sometimes very useful to connect to git repositories. From principle what is needed here is a smart integration from the git plugin with a secret (secret text for instance) to achieve a git call with

-c "http.extraHeader=Authorization: Bearer ..."

Bitbucket documentation for HTTP access tokens:
https://confluence.atlassian.com/bitbucketserver/http-access-tokens-939515499.html

Azure DevOps documentation for "Use personal access tokens":
https://learn.microsoft.com/en-us/azure/devops/organizations/accounts/use-personal-access-tokens-to-authenticate?view=azure-devops&tabs=Windows#use-a-pat