[A public repo]                      [B public repo]

        ^      \                     /      ^
        |       \                   /       |
     {push}         {fetch, pull}         {push}
        |        /                  \       |
        |       /                    \      |
        |      v                      v     |
 [A private repo]                     [B private repo]
 with working directory               with working directory