Customer service is so cliché-ridden that it can easily turn to comedy. Even when you don't necessarily want it to. So it's a thing to be aware of in a serious campaign. If things start to go south, you can cut things short or limit the amount of service interactions that come up.
You don't want to be a party pooper, but you have to do something to maintain your sanity as a GM.
Commentary by memnarch (who has not seen the movie)
Oh that's some fortunate timing there. The main characters are heading to the very ship that the main bad guy is just leaving! This'll probably lead to another instance of Kylo throwing a tantrum once he realizes what's happened. Any bets as to whether Poe manages to blow up the Steadfast with the frontal assault part?
And the point of the side trip to the snowy city planet seems clearer now. Obviously that trinket is being used in this scene as actual authorization proof, or it's at least being a part of this particular ship ride. Perhaps getting this disk to sneak into First Order ships somewhere was part of the original plan, but it's being used here immediately because Chewie is alive and needs rescuing! That would make for some nice plot tension I think. The only problem with that idea is that it involves the writers planning out that part of the plot which is contradicted by most of the various scenes so far.
Transcript
Kylo Ren: I’m going to fly down to Kijimi to search for the Resistance members.
Kylo Ren: And scout a location to build this Factory Gate.
[SFX]: vreeeooow... {Ren’s PIE Whisper flies down away from the Steadfast}
[SFX]: whooosssh... {a shuttle flies up away from Kijimi}
Rey: Come on! We’re going to fly up to the Steadfast to search for Chewie.
Rey: Let’s use that delivery card to bluff our way in.
Poe: Leave it to me!
Steadfast Traffic Controller: Unidentified ship, state your purpose.
Poe: Yeah, hi, I’ve got a notice here. Says we missed a delivery. So I’m here to pick it up.
Steadfast Traffic Controller: ... You think your package is on this star destroyer?
Poe: It says “authorised First Order facility”. You’re First Order, right?
Steadfast Traffic Controller: ... Yeesss?
Poe: Who is this? What’s your authorisation number?
Steadfast Traffic Controller: Uh... TK-2187.
Poe: Perfect. Logging it as “signed for by TK-2187”.
Steadfast Traffic Controller: What? No, I didn’t—
Poe: This call is being recorded for quality assurance purposes.
Steadfast Traffic Controller: I mean... um...
Poe: Now can I land and collect my package?
Steadfast Traffic Controller: Uh... I guess.
Rey: I can’t believe that worked.
C-3PO: That was just the authorisation part. Wait for the frontal assault.