Ssh – Git config forwarding

Did you try adding ForwardAgent no to your ssh config file for host bitbucket?

Helpful sources: https://developer.github.com/guides/using-ssh-agent-forwarding/ https://support.ssh.com/manuals/server-zos-admin/55/Disabling_Agent_Forwarding.html

Edit: I reread your question's title (sorry I just woke up), but add ForwardAgent no to your config for all hosts if you don't want it to send to every machine you ssh to and just add ForwardAgent yes to hosts that you wish ssh agent forwarding to be active.

I have never done that but maybe this does what you want:

You can put a Match block for the user git in sshd_config which contains ForceCommand. The forced command can be an ssh login to the real server. You can use public key authentication without passphrase so the users might not even notice this.