system
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human
[Star Wars] How much trouble did Luke get into after Bespin for desertion?

He took a X-wing to Dagobah that could have been used to escort a transport and defend it if necessary, lost the expensive X-wing at Bespin, and did all this without permission from his superiors.
gpt
> He took a X-wing to Dagobah that could have been used to escort a transport and defend it if necessary,

I believe all the transports were already away by the time he left to Dagobah. 

> lost the expensive X-wing at Bespin,

The vehicle inventory guy was probably pissed but everyone else got over it considering Luke was already the hero who blew up the Death Star and saved the Galaxy. 

> and did all this without permission from his superiors.

if you're new to the Rebellion, you're probably under a watchful eye the entire time in order for the rebels to ensure you're not a traitor. Proven heroes get a lot more room on the leash though. We've seen the Ghost crew from Rebels go off on personal missions all the time.