The crew of Cjet would have briefed for the published go-around. Even if Ajet does roll, there is always the potential for Cjet to go-around (training flight, young fo makes a cobbles of it maybe) so maybe advise well ahead of time "Cjet, in the event of a go-around, turn right heading 360, climb altitude 3000" after the read back "Cjet continue approach one ahead to depart, expect late clearance". So if it all turns to a buggers muddle and you do have to shout for a go-around everyone should know what they are doing and you are still in control.
I would hope the crew of Cjet note that there is a conflict between sid and star and if you don't offer an alternative go-around proc, they should ask. Seen this one a few times.