Hello,
From what I recall, the first job is with a different team, on a Duchess in order to find the contents and location of her secret art collection. Yusuf was called in to help cause there were issues with the people on the team. They do try to get away with killing the Inception team folks.
After that, they plan a real break in with the information, through which Arthur and Eames are smuggled into the storage center via connections to an African mobster, and break out to get access. Saito swans in and helps things run even more smoothly. And because the Duchess outbid him on a Degas painting he really wanted. Ariadne shows up briefly at the end too.
I think this may have been a kink or comment fill somewhere, but I haven't been about to dig it up. Hope this rings some bells?
Table Stakes Thank you Duckgirlie.