You are using git as a backup tool and wish to both push and pull between
two local repos, the second of which is a clone of the first.
For example, you may initialize a Markdown notes repo on your laptop's startup
drive. You author, save (and version) your notes primarily in this repo, but
also "backup" the content by cloning the repo to an external drive. At
intervals, you pull changes from the first repo into the second (either
manually, or as a cron job).