While cloning git repos git.lab.example.com/home/git/my_webservers_DEV.git , I am being asked for the password without which I am not able to clone the repos locally.
Could you confirm what course are you referring to?
I guess you are working on DO409, isn't it?
I am not an expert in this course, but as I can see from the course contents the git repository should be accessed via the private key specified previously in the lab.
If you are being asked for a password it means probably you have an issue with the private key. I would recommend reviewing the contents of the key.
Hope it helps!