I don't think I've seen anybody talk about how absolutely insane The Boiling Rock is from Hakoda's perspective.
Imagine getting captured, and your son tells you that you won't be apart for too long. That's sweet, but obviously your son has no resources to spare for organizing a breakout. You hope that the Avatar can defeat the Fire Lord soon - that's the earliest time you could hope to be rescued.
You get put into a temporary holding facility until the guards can sort out who is who. After a while, they put you on a prisoner transport to the Boiling Rock. Your captors try to intimidate you by telling you that it's the highest security prison in the Fire Nation, probably the whole world. It's far away from the capital.
You arrive at the Boiling Rock. It really is in the middle of a boiling lake. There's only one way in or out, and it's a gondola that takes you above the boiling lake. You meet the warden. They take you to your cell. You settle down to wait for the end of the war.
And 15 minutes later Sokka comes in like "hey dad I'm here I got the prince of the Fire Nation and an Earth Kingdom ninja leader gf ok let's go I'm busting you out"